Ames Laboratory Technical Reports Ames Laboratory
6-1960 An IBM 650 computer program for determining the thermal diffusivity of finite-length samples William L. Kennedy Iowa State University
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Recommended Citation Kennedy, William L., "An IBM 650 computer program for determining the thermal diffusivity of finite-length samples" (1960). Ames Laboratory Technical Reports. 13. http://lib.dr.iastate.edu/ameslab_isreports/13
This Report is brought to you for free and open access by the Ames Laboratory at Iowa State University Digital Repository. It has been accepted for inclusion in Ames Laboratory Technical Reports by an authorized administrator of Iowa State University Digital Repository. For more information, please contact [email protected]. An IBM 650 computer program for determining the thermal diffusivity of finite-length samples
Abstract A new technique has been developed for measuring the thermal diffusivity of finite-length samples. The sample was in the form of a round rod surrounded by a cylindrical guard. Both the sample and the guard had a small heater attached to one end. The heater was turned on and the voltages of equally spaced thermocouples were plotted as a function of time. This procedure determined the boundary conditions necessary for the solution of the heat flow equation. The os lution at the sample midpoint was obtained by assuming various values of thermal diffusivity. The aluev of thermal diffusivity which gave the best agreement between the computed solution at the sample midpoint and the experimental curve obtained at the midpoint was considered to be the best value for the thermal diffusivity. An IBM 650 computer was used to process the data.
Disciplines Physics
This report is available at Iowa State University Digital Repository: http://lib.dr.iastate.edu/ameslab_isreports/13 AN IBM 650 COMPUTER PROGRAM FOR ETERMINING THE THERMAL DIFFUSIV ITY OF FINITE-LENGTH SAMPLES
by
William Leon Kennedy UNCLASSIFIED
IS-137
Physics and Mathematics (UC-34) TID-4500, August 1, 1959
UNITED STATES ATOMIC ENERGY COMMISSION
Research and Development Report
AN IBM 650 COMPUTER PROGRAM FOR DETERMINING THE THERMAL DIFFUSIV ITY OF FINITE-LENGTH SAMPLES
by
William Leon ~ennedy
June 1960
Ames Laboratory at Iowa State University of Science and Technology F. H. Spedding, Director Contract W -7405 eng-82
UNCLASSIFIED 2 IS-137
This report is distributed according to the category Physics and Mathe matics (UC-34) as listed in TID-4500, August 1, 1959.
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CONTENTS Page Abstract ...... , ...... 5
Introduction ...... 5
1. The General One-dimensional Heat Flow Problem...... 6
2. Experimental Technique for Determining Thermal Diffusivity . . . . . 7
3. Discussion of the Computer Program
3. 1 Method of Solution ...... , ...... 8
3. 2 General Operation of the Program ...... 11
3. 3 Sequence of Data Cards ...... 13
3. 4 Output Card Format ...... 15
3. 5 Minimum Equipment ...... 16
3. 6 533 Control Panel ...... 16
4. Thermal Diffusivity of Armco Iron ...... 16
5. Conclusion ...... ·...... 20
6. Acknowledgment ...... , ...... 22
APPENDIX
I. Program Block D~agram ...... •...... 22a
II. Program ...... 23
III. Standard SO - Column Listing of the Program Decks ...... •...... 40
IV. Example Data and Output ...... 56
V. Unused General Storage Locations ...... 59
5
AN IBM 650 COMPUTER PROGRAM FOR DETERMINING THE THERMAL DIFFUSIVITY OF FINITE-LENGTH SAMPLES
William Leon Kennedy
ABSTRACT
A new technique has been developed for measuring the thermal diffu
sivity of finite-length samples. The sample was in the form of a round
rod surrounded by a cylindrical guard. Both the sample and the guard
had a small heater attached to one end. The heater was turned on and the
voltages of equally spaced thermocouples were plotted as a function of time.
This procedure determined the boundary conditions necessary for the solu
tion of the heat flow equation. The solution at the sample midpoint was
obtained by assuming various values of thermal diffusivity. The value of
thermal diffusivity which gave the best agreement between the computed
solution at the sample midpoint and the experimental curve obtained at the
midpoint was considered to be the best value for the thermal diffusivity.
An IBM 650 computer was used to process the data.
INTRODUCTION
High-speed computers have made it possible to ap:proach many problems
in a manner that would not be feasible by the use of ordinary desk calculators.
In the case of thermal diffusivity measurements, it has been the custom to
choose a sample geometry that will give a solution of the heat-flow equation
;;;\\hlch is easily calculated by ordinary methods. The geometry commonly
used for thermal diffusivity determinations is that of the semi- infinite rod. 6
This new method considers a sample of finite length. A basic machine language program for the IBM 650 computer has been developed in order to process the data. This program utilizes fixed-point arithmetic.
1. The General One-dimensional Heat Flow Problem
Consider a homogeneous rod of constant cross-sectional area A.
Suppose that the sides are insulated so that the streamlines of heat flow are all parallel, and perpendicular to the area A. It can be shown1 that the partial differential equation desc:dbing the temperatu Information concerning the initial and boundary conditions is required in order to obtain a general solution of the form u = f(x, t). The initial condition for the general problem is u( x, t = 0 ) = g(x) for 0 < x < L. The boundary conditions are u( x = 0, t = and u( x = L, t = ~(t) for t > 0 . If the thermal diffusivity (k) of the rod and the above initial condition and boundary conditions are known, it is possible to obtain the general solution u = f(x, t). 1 Carslaw and Jaeger, Conduction of Heat in Solids (Oxford University Press, 1950) p. 7. 7 2. Experimental Technique for Determining_ Thermal Diffusivity A rod- sl:\p.ped sample was constructed with a small heater fixed to one end. Surrounding the sample and also attached to the heater was a cylindrical guard fabricated from the same material as the sample. The purpose of this guard was to reduce radial heat losses. b y radiation. Three thermo- couples were located at equal intervals along the sample. The thermo- couple located closest to the heater was designated to be at x = 0. The distance between the extreme t hermocouples was L em. The heater was turned on at t = 0. The thermocouple voltages were plotted independently as a function of time. The entire sample was assumed to be at ambient temperature at t = 0. This assumption implies that the initial condition is u(x, t = 0) = g(x) =a constant. The constant was chosen to be zero since the reference point for a temperature scale is arbitrary. · The heat flow equation can be solved subject to the two boundary conditions determined by the x = 0 and x =L thermocouples. A solution u{x = ~, t) = ~(t) at the sample midpoint could be obtained p r ovided that the thermal diffu- sivity (k) of the rod is known. The thermal diffusivity (k) was varied until the best agreement was obtained between the computed solution at the sample midpoint and the experimental curve given by the midpoint thermocouple. This experimental curve was designated as u(x = ~, t) = a (t). The expression [ ~(t)]. - [ a (t)] . = £. 1 1 1 is the difference between the computed curve and the experimental curve for a given time t .. 1 8 The mean squared error 2 2l .. s = [Ni~l £i J I N was computed over the range 0 < t < t for each trial value of thermal max diffusivity (k). The value of k which made the:, mean sqgared error a minimum was assumed to be the best estimate of the sample 1 s thermal diffusi vity at a given temperature. The sample temperature was taken to be the temperature at t = 0 since at t the temperature at x = 0 was only about max 1 oc above the ambient temperature. The mean squared error was minimized rather than the raw sum of the deviations sqruared since N is a function of the thermal diffusivity. This procedure was used owing to the method employed to solve the heat flow equation. This method will be discussed in the next section. The experiment is summarized in Figs. 1 and 2. 3. Discussion of the Computer Program 3. 1 Method of Solution The differential equation was solved by the method of finite differences. (' The difference equati on2 employed was u(x, t+~t) = 1 [ u(x+~x, t) + 4u(x, t) + u(x - ~x. t)) b where L2 ~t = n = 2, 4, 6, .... ~ n2k and ~X = L n 2 For a derivation of this equation and a discussion of the errors involved, sree lNumerical Solution~ Differential Equations by W. E. Milne, (John Wiley and Sons, 1953). p. 119 . 9 t(l \ I Q) ...... s ~I .....Q) @ p,. srei CD Q) ...c:... -u b.O lOW ~ -(f) 0 Cd - CD ~ ~ w ... -~ - :E .....~ -Q:) -... 0 -e-- II II .... p,. II (I) ~ -~ - 0 ::I -~ ...... 0 .. _JjC\J _J 0 ,... II II II rei )( )( )( ...> -:::J -:::J -:::J rei (I) Q) 10 ,... 3 rei,... CJj sp,. Q) 0 ~ 0 0 0 0 0 0 0 ..... 0 0 0 0 0 0 C\J 0 "" o · oo w v C\J \ .b.O.... (SJ.INn A~'it~J.I~V) 3~nJ.~3dW3J. r:r...... 0 5.00 ~--,.-----,r------r---..,.---r----r-----r----r----n----, 4.00 3.00 C\Jcn 2.00 1.00 o.oo~--~--~--~--~--~--~~~~--~--~ '0.120 0.122 . 0.124 0126 0.128 0.130 THERMAL DIFFUSIVITY .(CM2/SEC) E:;ig. 2. Mean squared error~ thermaldiffusivity. ~ 11 It can be seen that ~t depends upon the thermal diffusivity of the sample and the length of the sample. Five ~x routines were written in order to accommodate samples of different lengths and thermal diffusivities. These five x-mesh size routines corresponded to n = 2, 4, 6, 8, and 10. 3. 2 General Operation of the Program The program is divided into two parts. The main program deck, a seven instruction per card deck, is loaded first. The desired x-mesh size deck is placed immediately behind the main program deck. All x-mesh size decks are made up of single instruction load cards. Since the program is self-initializing and self-initiating, the sets of data cards may be placed directly behind the program decks. The sets of data must be arranged in either ascending or descending temperatures. This arrangement is necessary since the computer uses the previously determined value of k as the starting estimate of k for the next data set. Therefore, an estimate of k is supplied by means of a punched card for only the first set of data. The computer minimizes the mean squared error by stepping kin increments of 0. 001 cm2/sec. This increment is stored in location 0917. For high thermal diffusi vity materials it might be desirable to change this to a larger increment. The format of the increment is 00000. NNNNN. As the program is now written the initial conditions are loaded by the• program. The temperature distribution before heat is applied to the heater is considered to be a constant (ambient temperature). Therefore, zeros are loaded by the program for the initial temperature distribution. However, it is conceivable that later someone might wish to read in initial conditions 12 other than zeros as part of the data. A no-operation i nstruction has been written in the data load routine (see Appendix I) that could be replaced by a subroutine to read in the initial conditions. The initial condi tions are presently found in the x-mesh size routines. The console settings for thi s program are: Storage Entry Switches : 70 1951 XXXX + Programmed Switch: Stop Half Cycle Switch: Run Address Selection Switches: ' xxxx Control Switch: Run Display Switch: Program Register Overflow Switch: Sense Error Switch: Stop This pro-gram contains only one programmed stop. If the estimate for k is qui te different from the true value of k, the machine will stop and display 01 0000 0652+. If this occurs, one should set up a better estimate..- for k on the storage entry switches and depress the program start key. The format of k i s OOOON , NNNNN. If one should want to read in a different estimate for k at any time, it can be done in the following manner without reloading the program or the data, Depress the program stop key. Set the storage entry switches to 00 0000 0075+. Depress the computer reset key and then depress the program start key for an instant. The display lights should now read 01 0000 0 174+. - At thi s point the new estimate for k is entered on the storage entry switches . Depressing the program start key will cause the 13 computer to start calculating on the basis of the new estimate for k. This procedure could be very helpful when starting if one is working on a material for which the thermal diffusivity is completely unknown. It is possible to read in data cards without reloading the program by the following procedure. Set the storage entry switches to 00 0000 0650+. Then depress the computer reset key. A depression of the program start key will read in data cards and execute the program. This procedure includes reading the k estimate card. If the machine contains an estimate for k and it is not necessary to read the k estimate card, set the storage entry switches to 00 0000 0553+, and follow the above procedure. 3. 3 Sequence of Data Cards Card 1 Word 1 - An estimate for the thermal diffusivity (k) for the first set of data. The format is OOOON. NNNNN. The remainder of this card is blank. This card is required only for the first temperature point since the succeed- ing points derive their estimates fork from the preceding points. Card 2 Word 1 - Temperature. The format is ONNNN. NNNNN . . Word 2 - The constant which all of the ordinates of the experimental curve obtained at the sample midpoint must be divided by in order to place this curve on the same scale as the experimental curve obtained at x = 0. The format is OOONN. NNNNN. Word 3- The constant which all the ordinates of the experimental curve obtained at x = L must be divided by in order to place this curve on the same scale as the experimental curve obtained at x = 0. The format is OOONN. NNNNN. . 14 Note: Even if the ordinates of the exper~ental curve obtained at x = L are .all zero ~ this constant must be non- zero in order t o prevent a machine stop caused by a division overflow. Word 4- t for the experimental curves minus A T. The unit for t his max quantity is seconds. The format is OONNN. NNNNN. Note: t must be max equal to nATwhere n is anyi nterger. Word 5- The uniform interval between the absi ssas of all curves (A1). The unit are. seconds. This i nterval should be s mall enough s o that a linear interpolation between s uccessive coordinates of each curve i s a good approximation. The format is OOONN. NNNNN. Word 6 = L 2 . The format i s OONNN. NNNNN. The unit s for t h is quantity 2 are em . Word 7 = Blank. Word 8 = Card identification if desired. The format is NNNNNNOOOO. Cards 3 - ll (9 cards) These cards contain the ordinates for t he experimental curve obtained at x = 0. The first ordinate is for t = 0 . . The ordinates . are loaded in a scending order for abs issas A'T apart. If all 72 words a r e not u s ed ~ the remaini ng words must be filled with zeros. The format i OOOOOONNNN . Cards 12 = · 20 .(9 cards) These cards contain.the ordinates.for the experimental curve obtained at L x = 2 . . The conditions imposed on cards 3 = 11 als o apply for this set. Cards 21 - 29 (9 cards) These cards contain the ordinates for the experimental curve obtained a t x = L. The conditions imposed on cards 3 - 11 als o apply for this set. 15 It is imperative that these data cards be in the order as given. Columns 71 - 76 inclusive on all data cards may be used for the purpose of card identification. However, these columns must be filled. Multiple punches are not allowed in these columns. Up to 72 coordinate pairs are allowed for each experimental curve, including the origin. The origin must always be included. There must be the same fixed interval between the absissas of all three experimental curves. This absissa interval is designated as ~T, and should not be confused with ~t. The choice of ~Tis arbitrary. However, ATmust be small enough so that a linear interpolation between consecutive coordinates on the experimental curves is valid. The ordinates of each experimeP,.tal curve can be measured from an arbitrary reference line below the origin of the curve. The computer subtracts the value of the origin ordinate from all other ordinates on the curve before they are stored. This feature is desirable if the ordinates are measured.by some of the chart measuring devices that are available. 3. 4 Output Card Format The output consists of only one type of card. Word 1 - Temperature. The format is ONNNN. NNNNN. 2 Word 2 - Thermal diffusivity (k). The units are em /sec and the format > is OOOON. NNNNN. 2 Word 3 - Mean squared error (s ). The format is OOOONNNN. NN. Word 4 - x-me·s.h size (n). The format is OOONN. NNNNN. Word 5 - The computed t-mesh size (~t). The format is OOONN. NNNNN. Word 6 - The number of points used in computing the mean squared error (N). The format is OOOOOONNl\fN. 16 Word 7 - Zero. Word 8 - Zero. For a given temperature, the thermal diffusivity (k) is plotted as a function of t he. mean squared error (s2 ). The value of k for which s 2 is a minimum is considered to be the thermal diffusivity of the sample at the given temperature (Fig. 1). See Appendix IV for example .dataand output. 3. 5 Minimum Equipment The minimum equipment for this program is a basic 2000 ward IBM 650 computer with a 533 input- output unit. No special devices are required. 3. 6 533 Control Panel The 533 control panel is wired for standard ten digit, eight wor~ input and output operation. The read validity check switch is jack-plugged off in order to avoid having .to punch the unused wortl fields on the. data cards. Since the data are all positive, it is advantageous to leave the read plus sign switch unwired. · A load card is designated by a 12-punch in column 1. 4. Thermal Diffusivity of Armc~,Iron Data was obtained for armco iron from 309°C to lll2°C at small in- tervals of temperature in order to evaluate this new method. Armco iron was chosen for several reasons. There w~re other thermal diffusivity data available for armco iron that could be used for a compar-ison. The thermal diffusivity of armco iron changes rap~ly with temperature in the vicinity of the Curie .temperature (770 o C) . It was felt that a method giving good results in this region would have merit. The thermal diffusivity of iron is low compared to many metals . · Calculations proved that it would be possible to use only two thermocouples if L was about 2 1/2 em and t max was not more than 25 seconds. The thermocouple at x = L would sense 17 an insignificant temperature increase compared to the thermocouple located at x = 0 by the time t = t . This calculation was based on the value of max the thermal diffusivity of iron at 300°C. The thermal diffusivity of iron decreases rapidly for temperatures higher than 300°C. The assumption that at x = L the temperature does not rise appreciably above the ambient temperature for a small t is certainly valid for sample temperatures max greater than 300°C. However, since there was no thermocouple at x = L, precisi on had to be sacrificed in order to insure accuracy at the lower temperatures . This was due to the fact that a t had to be used that max was less than the actual t for the experimental curves . Therefore, max the available experimental data was reduced. It is believed that it would always be beneficial to the experiment to include a thermocouple at x = L, even if the sample were a poor thermal diffuser. The sample design is illustrated in Fig. 3. A block diagram of the experimental apparatus is shown in Fig. 4. The heater, the time base, and the pulse generator are started simultaneously. The pulse generator causes a small spike to be superimposed on the continuous experimental curves at one - second intervals. The ordinates can then be read directly without having to calibrate the time base. The problem of time base non-linearity is eliminated by this scheme. The thermal diffusivity of armco iron as a function of temperature is shown in Fig. 5 . The results of this investigation agree very well with previous investigators. 3 • 4 The thermal diffusivity of armco iron is quite 3P. H . Sidles and G. C. Danielson, private communication, Ames Laboratory, U.S.A.E . C . , Ames, Iowa. 4 Cody, Abeles and Beers, private communication, RCA Laboratories, Princeton, New Jersey...... 00 SAMPLE DESIGN r---;== AL2o3 TUBING ARMCO IRON GUARD ARMCO IRON SAMPLE --THERMOCOUPLES SHELDS HELIARC WELD .--REFRACTORY CEMENT Fig. 3. Sample· design . ., 19 EXPERIMENT BLOCK DIAGRAM r------1 1 r-- FURNACE I I I L f 'rO I L j__~f< VACUUM I PUMPS I ~ ~ THERMOCOUPLES I ~ k:::::" \ r I ATER I I L------...... J -- -- VARIABLE BUCKING VARIABLE BUCKING POTENTIAL POTENTIAL PULSE ~ - -, GENERATOR LaN D.C. AMPLIFIER L6N D.C.;- AMPLIFIER MODEL 983!5-A MODEL 98311-A - - X-Y RECORDER X-Y RECORDER '-- 1-- MOSELEY AUTOGRAPH MOSELEY AUTOGRAPH Y-INPUT Y-INPUT MODEL 2 MODEL 2 ( ...... ~ ~ 0. 0. ! z I OBT A INS BOUNDARY -I )( \ OBTAINS DATA AT THE J )( COND IT ION u(x•O,t) ·• (I) SAMPLE MIDPOI NT u!x•LI2,tJ•9(t) :, ,-...... - / TIME BASE MOSELEY AUTOGRAPH PART NO. B-2 Fig. 4. Block diagram of experiment. 20 reproducible below the Curie temperature. However, it appears that if armco iron is heated to very high temperatures the result is to lower the diffusivity slightly from previous values obtained above 800°C. The thermal diffusivity obtained in the temperature range 1112 oc - 800°C was lower than the diffusivity by a previous determination within the range 993°C - 800°C. This effect can be seen by studying Fig. 5. The legend of Fig. 5 is tabu- lated in the same order that the data points were taken. In the region 800°C - lll2°C the thermal diffusivity appeared to depend upon the maximum tempel,"ature of the sample, as though annealing, grain growth, or other high temperature effect h~d taken place. The thermal diffusivity below the Curie temperature is not effected by_high maximum ' sample temperatures. · CONCLUSION The results of this investigation were in very good agreement with previous investigators. 3' 4 This new technique may be applicable to quite small samples. However, a radial geometry may be more favorable for . this experiment. If radial geometry were used, the sample would be in the shape of a disc. The thermocouples would be spaced radially. The heater would be a wire at the axis of the disc. A number of discs, all identical to the sample, would be placed on each side of the sampr~. This scheme would make certain that the heat flow was largely radial in the center sample disc. The heat flow equation for radial geometry is au ar = \ ' o.ts 1 --,----,---.-----r---.--.--.,---.,...--r--- ARMCO IRON u ~ (\I' 0.12 ~ (.) -> t- > (/) ~ 0.08 LL. 0 & o o6 4 a a 11 _ ~~ I pA & & ...J RESENT INVESTIGATION .. ' ~ 0:: .. 831 -992°C. o 965-315°C. ~0.04 t- a 309- II I2°C. • 1088- 350°C. • IOII-325°C. 0.00200 400 600 800 1000 1200 TEMPERATURE (°C) Fig. 5. Thermal diffusivity, of armco iron~ temperature. N ...... 22 Sample fabrication would be simplified considerably for the proposed radial geometry experiment. It is difficult to calculate just exactly how well the cylindrical guard reduced radial heat losses of the sample at high temperatures , However, the results obtained for armco iron were in ver:>r good agreement with the results obtained by methods which included a radial heat loss term in the heat flow equation. It is concluded that radial heat losses are not a serious source of error if the sample is guarded by a cylindrical guard fabricated from the sample material. 6 . Acknowledgments The author wishes to express his appreciation to Dr. G. C. Danielson and Mr. P. H. Sidles for many helpful discussions concerning the general heat flow problem and experimental techniques, . to Dr . . H . 0. Hartley for a discussion of the numerical solution of the heat flow equation, to Mr . . H. W. Jespersen and Mr. Russell Altenberger for many helpful suggestions for the computer program, to Mr. Garry Wells and Mr. 0. M. Sevde for fabricating the armco iron sample, and to Mrs. Evelyn Blair for doing the many calculations that were necessary in order to check the program. " PROGRAM BLOCK DIAGRAM START READ AN ESTIMATE FOR k . INITIALIZE \----..! STORE AND s?J+l. LOAD DATA. INCREASE k BY flk. SET STORE flk COMPUTE flt. =-flk. IS SET 1: • 0. ? SET N = 0. sj ;:x:.. 1j (j= 3,4,5.-··) 1j M z INCREASE ...... t1 STORE ~ ...... t BY ~t. 2 ·~ < ·~ 82 STORE ? OF k ? s2 I PUNCH IS COMPUTEf E· 2 t > I .,, s2- L!.LI TEMP, k , s , n , N ~t , AND N • TABLE LOOKUP: FIND .(t) ,9ttl, AND t(tl . N ['0 INCREASE N BY I. !U EVALUATE u ( x, t +tlt.) . N COMPUTE E~ AND ACCUMULATE .L€~. t•l 23 APPENDIX II--PROGRAM LISTING MAIN PROGRAM NO LOCN CONTENTS REMARKS 1 001 0650 70 0451 0521 Read an estimate for k. .:. 1 002 0521 69 0451 0858 1 003 0858 24 0078 0700 1 004 0700 69 0753 0720 1 005 072 0 24 0083 0721 1 006 0721 24 0084 0553 1 007 0553 69 1738 1741 1 008 1741 24 0819 1722 1 009 1722 69 1739 1742 1 010 1742 24 0510 1713 1 011 1713 69 1740 1743 1 012 1743 24 0419 0600 1 013 0600 69 0665 0668 1 014 0668 24 0601 0604 1 015 0604 69 0658 0661 1 016 0661 24 0602 0755 1 017 0755 69 0758 0761 1 018 0761 24 0605 0812 Initialize. 1 019 0812 69 0815 0618 1 020 0618 24 0613 0500 1 021 0500 69 0559 0564 1 022 0564 24 0501 0754 1 023 0754 69 0514 0517 1 024 0517 24 0503 0856 1 025 0856 69 0859 0764 1 026 0764 24 0556 0860 1 027 0860 69 0863 0816 1 028 0816 24 0513 0900 1 029 0900 69 0959 0964 1 030 0964 24 0901 0854 1 031 0854 69 0857 0910 1 032 0910 24 0903 0807 1 033 0807 69 0861 0864 1 034 0864 24 0956 0862 1 035 0862 69 0865 0820 1 036 082 0 24 0913 1100 1 037 110 0 70 0401 0701 . Read problem parameters , 1 038 0701 65 1755 1710 1 039 1710 10 1714 1819 1 040 1819 11 1822 182 7 1 041 182 7 44 1831 1832 042 10 1784 1840 1 1831 Compute and store .absissas• 1 043 1840 15 0405 8003 1 044 183 2 10 1835 1820 1 045 1820 11 1723 1727 1 046 1727 44 1781 0819 1 047 1781 10 1734 1789 1 048 1789 15 0405 8003 24 (APPENDIX II--continued. ) NO LOCN CONTENTS REMARKS 1 049 0000 00 0000 0000 1 050 175 5 00 0000 0000 1 051 1714 20 0000 1819 1 052 1822 20 0047 1819 Compute and. store absis sas. 1 053 1784 20 0048 1819 1 054 183 5 20 0049 1820 1 055 1723 20 0073 1820 1 056 1734 20 0074 1820 1 057 0819 70 0451 1701 1 058 1701 69 0451 1704 1 059 1704 24 1708 1712 1 060 1712 65 0819 1724 1 061 1724 16 1728 1733 1 062 1733 20 0819 1601 1 063 1601 65 0458 1764 1 064 1764 35 0006 1785 1 065 1785 60 8002 1795 1 066 1795 30 0006 1760 1 067 1760 21 0458 0601 1 068 0601 65 0451 1750 1 069 175 0 16 1708 0750 1 070 075 0 35 0003 0602 1 071 0602 20 0100 0603 1 072 0603 65 0602 0607 Read and store x = 0 ordinates. 1 073 0607 15 0710 0615 1 074 0615 20 0602 0605 1 075 0605 16 0608 0613 1 076 0613 45 0614 0610 1 077 0614 65 0601 0655 1 078 0655 15 0710 0616 1 079 0616 20 0601 0654 1 080 0654 16 0657 0611 1 081 0611 45 0601 0606 1 082 0606 69 0609 0612 1 083 0612 24 0601 0819 1 084 0610 69 0663 0666 1 085 0666 24 0602 0656 1 086 0656 69 0659 0662 1 087 0662 24 0605 0660 1 088 0660 69 0664 0667 1 089 0667 24 0613 0614 1 090 0510 70 0451 1751 1 091 1751 69 0451 1754 1 092 1754 24 1758 1762 Read and store x = ~ ordinates. ; 1 093 1762 65 0510 1774 1 094 1774 16 1778 1783 1 095 1783 20 0510 1651 1 096 1651 65 0458 1766 25 (APPENDIX II--continued.) NO LOCN CONTENTS REMARKS 1 097 1766 35 0006 1793 1 098 1793 60 8002 1798 1 099 1798 30 0006 1761 1 100 1761 21 0458 0501 1 101 0501 65 0451 1705 . 1 102 1705 16 1758 0505 1 103 0505 35 0009 0511 1 104 0511 64 0402 0502 1 105 0502 31 0001 0503 1 106 0503 20 0200 0504 1 107 0504 65 0503 0507 1 108 0507 15 0710 0515 1 109 0515 20 0503 0556 0513 1 110 0556 16 0509 Read and store x = uJordinates. 1 111 0513 45 0516 0519 2 1 112 0516 65 0501 0555 1 113 0555 15 0710 0565 1 114 0565 20 0501 0554 1 115 0554 16 0557 0561 1 116 0561 45 0501 0506 1 117 0506 69 0559 0512 1 118 0512 24 0501 0510 1 119 0519 69 0522 0525 1 120 0525 24 0503 0558 1 121 0558 69 0562 0566 1 122 0566 24 0556 0563 1 123 0563 69 0567 0520 1 124 052 0 24 0513 0516 1 125 0419 70 0451 1801 1 126 1801 69 0451 1804 1 127 1804 24 1808 1812 1 128 1812 65 0419 1824 1 129 1824 16 1828 1833 1 130 1833 20 0419 1600 1 131 1600 65 0458 1813 1 132 1813 35 0006 1834 1 133 1834 60 8002 1792 1 134 1792 30 0006 1756 . Read and store x = L ordinates. 1 135 1756 21 0458 0901 1 136 0901 65 0451 1805 1 137 180 5 16 1808 0905 1 138 0905 35 0009 0911 1 139 0911 64 0403 0902 1 140 0902 31 0001 0903 1 141 0903 20 0300 0904 1 142 0904 65 0903 0907 1 143 0907 15 0710 0915 1 144 0915 20 0903 0956 26 (APPENDIX II ~ -continued.) ;. NO LOCN CONTENTS REMARKS 1 145 0956 16 0909 0913 1 146 0913 45 0916 0919 1 147 0916 65 0901 0955 1 148 0955 15 0710 0965 1 149 0965 20 0901 0954 1 150 0954 16 0957 0961 1 151 0961 45 0901 0906 1 152 0906 69 0959 0912 Read and store x = L ordinates. 1 153 0912 24 0901 0419 1 154 0919 69 0922 0925 1 155 0925 24 0903 0958 1 156 0958 69 0962 0966 1 157 0966 24 0956 0963 1 158 0963 69 0967 0920 1 159 092 0 24 0913 0916 1 160 1019 ·oo 0000 1120 No operation. 1 161 1120 69 0401 0814~Move temperature into output region. 1 162 0814 24 0077 1150 1 163 0074 99 9999 9999 1 164 0710 00 0001 0000 1 165 0608 20 0148 0603 1 166 065 7 65 0459 1750 1 167 0609 65 0451 1750 1 168 0663 20 0150 0603 1 169 0659 16 0508 0613 1 170 0664 45 0614 0510 1 171 0508 20 0174 0603 1 172 0665 65 0451 1750 1 173 0658 20 0100 0603 1 174 0758 16 0608 0613 1 175 0815 45 0614 0610 1 176 0509 20 0248 0504 1 177 0557 65 0459 1705 Constants. 1 178 0559 65 0451 1705 1 179 0522 20 0250 0504 1 180 0562 16 0560 0513 1 181 0560 20 0274 0504 1 182 0567 45 0516 0419 1 183 0514 20 0200 0504 1 184 0859 16 0509 0513 1 185 0863 45 0516 0519 1 186 0909 20 0348 0904 1 187 0957 65 0459 1805 1 188 0959 65 0451 1805 '" 1 189 0922 20 0350 0904 1 190 0962 16 0960 0913 1 191 0960 20 0374 0904 1 192 0967 45 0916 1019 27 ,(APPENDIX II-- continued.) NO LOCN CONTENTS REMARKS 1 193 0857 20 0300 0904 1 194 0861 16 0909 0913 1 195 0865 45 0916 0919 1 196 0753 00 0000 oooo 1 197 1728 00 0000 0100 . Constants. 1 198 1778 00 0000 0100 1 199 1828 00 0000 0201 1 200 173 8 70 0451 1701 1 201 1739 70 0451 1751 1 202 1740 70 0451 1801 2 001 1150 69 0405 0767 2 002 0767 24 0277 0280 2 003 0280 69 0186 0289 2 004 0289 24 1109 0870 2 005 0870 60 0078 0183 2 006 0183 10 0917 0421 2 007 0421 21 0078 0181 2 008 0181 19 0184 0469 2 009 0469 31 0005 0476 2 010 0476 20 0479 0482 2 011 0482 65 0406 0411 2 012 0411 35 0006 0434 2 013 0434 64 0479 0484 2 014 0484 31 0001 0495 _ Compute at and initialize. 2 015 0495 20 0081 0284 2 016 0284 69 0287 0290 2 017 0290 24 0080 0283 2 018 0283 69 0186 0189 2 019 ' 0189 24 0188 0192 2 020 0192 69 0195 0198 2 021 0198 24 1015 1706 2 022 1706 69 1709 1763 2 023 1763 24 1715 1006 2 024 1006 65 1109 1013 2 025 1013 15 1016 1021 2 026 1021 20 1109 0518 2 027 1016 00 0000 0001 2 028 0195 00 0000 0000 2 029 0186 00 0000 0000 2 030 0917 00 0000 0100 2 031 1709 00 0000 0000 3 001 0278 65 0081 0285 3 002 0285 15 0188 0182 3 003 0182 20 0188 0191 3 004 0191 16 0404 1009 . Prepare for table lookup. 3 005 1009 46 0412 0413 3 006 0412 65 1715 1719 3 007 1719 15 1772 1777 28 (APPENDIX II-- continued. ) NO LOCN CONTENTS REMARKS 3 008 1777 20 1715 1769~ 3 009 · 1769 65 0415 0569 Prepare for table lookup. 3 010 0569 69 0188 0291 3 011 0291 84 0000 0179 3 012 0179 20 0383 0386 3 013 0386 15 0391 8002 3 014 0180 16 0188 0193 3 015 0193 35 0006 0274 3 016 0274 64 0277 0853 3 017 0853 31 0001 0653 3 018 0653 20 1007 1010 3 019 1010 65 0383 0387 3 020 0387 16 0390 0395 3 021 0395 20 0399 0552 3 022 0552 65 0855 1059 3 023 1059 15 0383 8002 3 024 0869 20 0872 0875 3 025 0875 10 0878 0883 3 026 0883 10 0399 8003 3 027 0488 60 8002 0449 3 028 0449 19 1007 1000 3 029 1000 31 0005 1020 3 030 102 0 10 0872 0879 Table lookup and interpolation routine. 3 031 0879 11 8002 0888 3 032 0888 21 0893 0896 Exit to mesh size routine and compute L 3 033 0896 65 0899 1004 u(x = , t + .6-t). 3 034 1004 15 0383 8002 2 3 035 0972 20 0975 0978 3 036 0978 10 0981 0985 3 037 0985 10 0399 8003 3 038 0976 60 8002 0986 3 039 0986 19 1007 0933 3 040 0933 31 0005 0943 3 041 0943 10 0975 0979 3 042 0979 11 8002 0988 3 043 0988 21 0993 0996 3 044 0996 65 0999 1104 3 045 1104 15 0383 8002 3 046 1072 20 1075 1078 3 047 1078 10 1081 1085 3 048 1085 10 0399 8003 3 049 1076 60 8002 1086 3 050 1086 19 1007 1033 "! 3 051 1033 31 0005 1043 3 052 1043 10 1075 1079 3 053 1079 11 8002 1 0_88 3 054 1088 21 1093 1096 N 2 Accumulate 3 055 0288 60 0993 0297 1=. ~Ei 29 (APPENDIX II--contin~ed.) NO LOCN CONTENTS REMARKS 3 056 0297 11 0550 1005 3 057 100 5 19 8003 1049 3 058 1049 35 0008 1012 3 059 1012 10 1015 0969 N 2 3 060 0969 47 1022 0974 Accumulate i~E:i 3 061 1022 01 0000 0652 3 062 0652 65 8000 0568 3 063 0568 20 0078 1150 3 064 0974 21 1015 0278 3 065 0878 16 0100 0488 3 066 0855 65 0100 0869 3 067 0390 00 0001 0000 3 068 0391 65 0000 0180 3 069 0415 00 0000 oooo Constants. 3 070 1081 16 0300 1076 3 071 0999 65 0300 1072 3 072 0981 16 0200 0976 3 073 0899 65 0200 0972 3 074 1772 00 0000 0001 4 001 0413 65 1715 1770 4 002 1770 20 0082 1780 4 003 1780 65 1015 1771 4 004 1771 35 0002 1790 4 005 1790 64 1715 1765 Compute s 2 . 4 006 1765 20 1015 1725 4 007 1725 65 1015 0771 4 008 0771 31 0004 0551 4 009 0551 20 0079 0382 4 010 0382 71 0077 0651 Punch. 4 011 0651 69 1015 0970 4 012 0970 24 0079 0803 4 013 0803 65 1109 1113 4 014 1113 16 0866 0871 4 015 0871 45 0874 0775 4 016 0775 69 0079 0282 4 017 0282 24 0385 0870 4 018 0874 65 0877 0881 4 019 0881 16 1109 0463 4 020 0463 45 0466 0467 Log~c network. 4 021 0467 65 0079 0433 4 022 0433 16 0385 0489 .. 4 023 0489 46 0870 0493 4 024 0493 60 0924 0921 4 025 0921 19 0917 0929 4 026 0929 20 0917 0870 4 027 0466 65 0619 0423 4 028 0423 16 1109 1063 4 029 1063 45 0416 0417 30 (APPENDIX II- -continued.) NO LOCN CONTENTS REMARKS 4 030 0417 69 0079 0432 4 031 0432 24 0385 0870 4 032 0416 65 0079 0483 4 033 0483 16 0385 0439 4 034 0439 46 0392 0553 4 035 0392 69 0079 0532 4 036 053 2 24 0385 0870 Logic network. 4 037 0866 00 0000 0001 4 038 0877 00 0000 0002 4 039 0924 00 0000 0001 - 4 040 0619 00 0000 0003 5 001 0075 01 0000 0174 5 002 0174 65 8000 0374 5 003 0374 20 0078 1150 Mesh Two Routine 6 001 0184 00 0240 0000 6 002 0287 00 0020 0000 6 003 1096 60 1099 0953 6 004 0953 19 0550 1031 6 005 1031 15 0843 0997 6 006 0997 15 1064 1055 6 007 1055 35 0002 1060 6 008 1060 64 1163 1098 6 009 1098 31 0002 1014 6 010 1014 20 0550 0672 6 011 0672 69 0893 1017 L Evaluate u(x = Z' t + At). 6 012 1017 24 0843 0818 6 013 0818 69 1093 0868 6 014 0868 24 1064 02 88 6 015 1099 00 0000 0004 6 016 1163 00 0000 0006 6 017 0518 69 0571 0574 6 018 0574 24 0843 0846 6 019 0846 69 0849 0802 6 020 0802 24 0550 0461 6 021 0461 69 0465 0468 6 022 0468 24 1064 0278 7 001 0571 00 0000 0000]-- 7 002 0849 00 0000 0000 M_esh two initial con~ions. 7 003 0465 00 0000 0000 8 001 0184 00 0960 0000 Begin mesh four routine. 31 (APPENDIX II--continued.) NO LOCN CONTENTS REM ARKS 8 002 0287 00 0040 0000 8 003 1096 60 1099 0953 8 004 0953 19 1056 1031 8 005 1031 15 0843 0997 8 006 0997 15 0950 1055 8 007 1055 35 0002 1060 8 008 1060 64 1163 1098 8 009 1098 31 0002 1014 8 010 1014 20 0669 0672 8 011 0672 60 0475 0429 8 012 0429 19 0950 1025 8 013 1025 15 1056 1011 8 014 1011 15 1064 1069 8 015 1069 35 0002 1077 8 016 1077 64 1080 1030 8 017 103 0 31 0002 1044 8 018 1044 20 0550 1002 8 019 1002 60 1105 1159 8 020 1159 19 1064 1089 8 021 1089 15 0950 1155 8 022 115 5 15 1008 1114 8 023 1114 35 0002 0670 L 8 024 0670 64 0873 0923 Evalua te u(x =z , t + At). 8 025 0923 31 0002 0944 8 026 0944 20 1064 0927 8 027 0927 69 0669 0898 8 028 0898 24 1056 1111 8 029 1111 69 0550 1153 8 030 1153 24 0950 1053 8 031 1053 69 0893 1017 8 032 1017 24 0843 0818 8 033 0818 69 1093 0868 8 034 0868 24 1008 0288 8 035 1099 00 0000 0004 8 036 1163 00 0000 0006 8 037 0475 00 0000 0004 8 038 1080 00 0000 0006 8 039 1105 00 0000 0004 8 040 0873 00 0000 0006 8 041 0518 69 0571 0574 8 042 0574 24 0843 0846 8 043 0846 69 0849 0802 8 044 0802 24 1056 0461 8 045 0461 69 0465 0468 8 046 0468 24 0950 1103 32 (APPENDIX II- -continued. ) NO LOCN CONTENTS REMARKS 8 047 1103 69 1157 8 048 1160 24 1064 1160]-0968 L . Evaluate u(x = , t + ~t). 8 049 0968 69 0821 0824 2 8 050 0824 24 1008 0278 9 001 0571 00 0000 9 002 0849 00 0000 0000}0000 9 003 0465 00 0000 000 0 Mesh four initial conditions. 9 004 115 7 00 0000 0000 9 005 0821 00 0000 0000 . . Mesh Six Routine 10 001 0184 00 2160 0000 10 002 0287 00 0060 0000 10 003 1096 60 1099 0953 10 004 0953 19 1056 1031 10 005 1031 15 0843 0997 10 006 0997 15 0950 1055 10 007 105 5 35 0002 1060 10 008 1060 64 1163 1098 10 009 1098 31 0002 1014 10 010 1014 20 0669 0672 10 011 0672 60 0475 0429 10 012 0429 19 0950 1025 10 013 1025 15 1056 1011 10 014 1011 15 1064 1069 10 015 1069 35 0002 1077 10 016 1077 64 1080 1030 .... 10 017 1030 31 0002 1044 uJ Evaluate u(x = , t + ~t). 10 018 1044 20 0949 1002 2 10 019 1002 60 1105 1159 10 020 1159 19 1064 1089 10 021 1089 15 0950 1155 10 022 1155 15 1008 1114 10 023 1114 35 0002 0670 10 024 0670 64 0873 0923 10 025 0923 31 0002 0944 10 026 0944 20 0550 1003 10 027 1003 60 1106 1061 10 028 1061 19 1008 0983 10 029 0983 15 1064 1119 10 030 1119 15 0622 0977 10 031 0977 35 0002 1083 10 032 1083 64 0436 0486 10 033 0486 31 0002 0952 10 034 0952 20 1057 1110 10 035 1110 60 0414 1169 33 (APPENDIX II- - continued. . ) NO LOCN CONTENTS REMARKS 10 036 1169 19 0622 0199 10 037 0199 15 1008 0464 10 038 0464 15 1193 0497 10 039 0497 35 0002 0752 10 040 0752 64 1156 1107 10 041 1107 31 0002 0526 10 042 0526 20 0622 0927 10 043 092 7 69 0669 0898 10 044 0898 24 1056 1111 10 045 1111 69 0949 0852 10 046 0852 24 0950 1053 10 047 1053 69 1057 1017 10 048 1017 24 1008 0768 10 049 0768 69 0550 1054 10 050 1054 24 1064 0867 10 051 0867 69 0893 0817 10 052 0817 24 0843 0818 10 053 0818 69 1093 0868 10 054 0868 24 1193 0288 10 055 1099 00 0000 0004 10 056 1163 00 0000 0006 L 10 057 04 75 . 00 0000 0004 . E valuate u(x = T, t + At). 10 058 1080 00 0000 0006 10 059 110 5 00 0000 0004 10 060 0873 00 0000 0006 10 061 110 6 00 0000 0004 10 062 0436 00 0000 0006 10 063 0414 00 0000 0004 10 064 1156 00 0000 0006 10 065 0518 69 0571 0574 10 066 0574 24 0843 0846 10 067 0846 69 0849 0802 10 068 0802 24 1056 0461 10 069 0461 69 0465 0468 10 070 0468 24 0950 1103 10 071 1103 69 1157 1160 10 072 1160 24 1064 0968 10 073 0968 69 0821 0824 10 074 0824 24 1008 1161 10 075 1161 69 1164 0918 10 076 0918 24 0622 0275 10 077 0275 69 0928 0281 10 078 0281 24 1193 0278 11 001 0571 00 0000 11 002 0849 00 0000 oooo}0000 11 003 0465 00 0000 000 0 M e s h six initial conditions. 11 004 1157 00 0000 0000 11 005 0821 00 0000 0000 34 (AP~ENDIX II--continued) NO LOCN CONTENTS REMARKS 11 006 1164 00 0000 0000~ M es h s1x· 1m· •t 1a· 1 cond 1' t' 1ons. 11 007 0928 00 0000 0000 Mesh Eight Routine 12 001 0184 00 3840 0000 12 002 0287 00 0080 0000 12 003 1096 60 1099 0953 12 004 0953 19 1056 '1031 12 005 1031 15 0843 0997 12 006 0997 15 0950 1055 12 007 1055 35 0002 1060 12 008 1060 64 1163 1098 12 009 1098 31 0002 1014 12 010 1014 20 0669 0672 12 011 0672 60 0475 0429 12 012 0429 19 0950 1025 12 013 1025 15 1056 1011 12 014 lOll 15 1064 1069 12 015 1069 35 0002 1077 12 016 1077 64 1080 1030 12 017 103 0 31 0002 1044 12 018 1044 20 0949 1002 12 019 1002 60 1105 1159 12 020 1159 19 1064 1089 L 12 021 1089 15 0950 1155 Evaluate u(x = T , t + At). 12 022 115 5 15 1008 1114 12 023 1114 35 0002 0670 12 024 0670 64 0873 0923 12 025 0923 31 0002 0944 12 026 0944 20 0800 1003 12 027 1003 60 1106 1061 12 028 1061 19 1008 0983 12 029 0983 15 1064 1119 12 030 1119 15 0622 0977 12 031 0977 35 0002 1083 12 032 1083 64 0436 0486 12 033 0486 31 0002 0952 12 034 0952 20 0550 1110 12 035 1110 60 0414 1169 12 036 1169 19 0622 0199 12 037 0199 15 1008 0464 12 038 0464 15 1143 0497 12 039 0497 35 000 2 0752 12 040 0752 64 1156 1107 12 041 110 7 31 0002 0526 12 042 0526 20 1050 1154 35 (APPENDIX ll--continued. ) NO LOCN CONTENTS REMARKS 12 043 1154 60 1207 1211 12 044 1211 19 1143 1065 12 045 1065 15 0622 1127 12 046 1127 15 0931 0935 12 047 093 5 35 0002 0948 12 048 0948 64 1001 1052 12 049 1052 31 0002 1068 12 050 1068 20 1073 1026 12 051 1026 60 0379 0533 12 052 053 3 19 0931 1204 12 053 1204 15 1143 0397 12 054 0397 15 0850 1205 12 055 1205 35 0002 0971 12 056 0971 64 0774 0897 12 057 0897 31 0002 1112 12 058 1112 20 0931 0491 12 059 0491 69 0893 0946 12 060 0946 24 0843 1046 12 061 1046 69 1093 0973 12 062 0973 24 0850 1146 12 063 1146 69 0669 1122 12 064 1122 24 1056 1259 12 065 1259 69 0949 1102 L 12 066 1102 24 0950 1203 Evaluate u(x =2 , t + At). 12 067 1203 69 0800 1158 12 068 115 8 24 1064 1167 12 069 1167 69 0550 1210 12 070 1210 24 1008 1115 12 071 1115 69 1050 1208 12 072 120 8 24 0622 0675 12 073 0675 69 1073 0876 12 074 0876 24 1143 02 88 12 075 0518 69 0571 0574 12 076 0574 24 0843 0846 12 077 0846 69 0849 0802 12 078 0802 24 1056 0461 12 079 0461 69 0465 0468 12 080 0468 24 0950 1103 12 081 1103 69 1157 1160 12 082 1160 24 1064 0968 12 083 0968 69 0821 0824 12 084 0824 24 1008 1161 12 085 1161 69 1164 0918 12 086 0918 24 0622 0275 12 087 0275 69 0928 0281 12 088 0281 24 1143 1196 12 089 1196 69 1149 1116 12 090 1116 24 0931 0934 36 (APPENDIX II--continued.) NO LOCN CONTENTS REMARKS 12 091 0934 69 0987 0992 12 092 0992 24 0850 0278 12 093 1099 00 0000 0004 12 094 1163 00 0000 0006 12 095 0475 00 0000 0004 12 096 1080 00 0000 0006 12 097 110 5 00 0000 0004 12 098 0873 00 0000 0006 L valuate u(x =T , t + ~t). 12 099 110 6 00 0000 0004 12 100 0436 00 0000 0006 12 101 0414 00 0000 0004 12 102 1156 00 0000 0006 12 103 120 7 00 0000 0004 12 104 1001 00 0000 0006 12 105 0379 00 0000 0004 12 106 0774 00 0000 0006 13 001 0571 00 0000 0000 13 002 0849 00 0000 0000 13 003 0465 00 0000 0000 13 004 1157 00 0000 0000 13 005 0821 00 0000 0000 Mesh eight initial conditions. 13 006 1164 00 0000 0000 13 007 0928 00 0000 0000 13 008 1149 00 0000 0000 13 009 0987 00 0000 0000 Mesh Ten Routine 14 001 0184 00 6000 0000 14 002 028 7 00 0100 oooo 14 003 1096 60 1099 0953 14 004 0953 19 1056 1031 14 005 1031 15 0843 0997 14 006 0997 15 0950 1055 14 007 1055 35 0002 1060 14 008 1060 64 1163 1098 14 009 1098 31 0002 1014 L 14 010 1014 20 0669 0672 Evaluate u(x =2 , t + ~t). 14 011 0672 60 0475 0429 14 012 0429 19 0950 1025 14 013 1025 15 1056 1011 14 014 1011 15 1064 1069 14 015 1069 35 0002 1077 14 016 1077 64 1080 1030 14 017 103 0 31 0002 1044 14 018 1044 20 0949 1002 14 019 100 2 60 1105 1159 37 (APPENDIX II--continued.) NO LOCN CONTENTS REMARKS 14 020 1159 19 1064 1089 14 021 1089 15 0950 1155 14 022 1155 15 1008 1114 14 023 1114 35 0002 0670 14 024 0670 64 0873 0923 14 025 0923 31 0002 0944 14 026 0944 20 0800 1003 14 027 1003 60 1106 1061 14 028 1061 19 1008 0983 14 029 0983 15 1064 1119 14 030 1119 15 0622 0977 14 031 0977 35 0002 1083 14 032 1083 64 0436 0486 14 033 0486 31 0002 0952 14 034 0952 20 1057 1110 14 035 1110 60 0414 1169 14 036 1169 19 0622 0199 14 037 0199 15 1008 0464 14 038 0464 15 1143 0497 14 039 0497 35 0002 0752 14 040 0752 64 1156 1107 14 041 110 7 31 0002 0526 14 042 0526 20 0550 1154 L 14 043 1154 60 1207 1211 . Evaluate u(x = z , t + .6-t). 14 044 1211 19 1143 1065 14 045 1065 15 0622 1127 14 046 112 7 15 0931 0935 14 047 093 5 35 0002 0948 14 048 0948 64 1001 1052 14 049 1052 31 0002 1068 14 050 1068 20 1073 1026 14 051 1026 60 0379 0533 14 052 0533 19 0931 1204 14 053 1204 15 1143 0397 14 054 0397 15 0850 120 5 14 055 1205 35 0002 0971 14 056 0971 64 0774 0897 14 057 0897 31 0002 1112 14 058 1112 20 1067 1070 14 059 1070 60 1023 1027 14 060 1027 19 0850 1024 14 061 1024 15 0931 1035 14 062 1035 15 1038 0994 14 063 0994 35 0002 1066 14 064 1066 64 1219 1090 14 065 1090 31 0002 0751 14 066 0751 20 1206 120.9 14 067 1209 60 1162 1117 38 (APPENDIX II- -continued.) NO LOCN CONTENTS REMARKS 14 068 1117 19 1038 1212 14 069 1212 15 0850 1255 14 070 1255 15 1193 0847 14 071 084 7 35 0002 1058 14 072 105 8 64 1261 0947 14 073 094 7 31 0002 1108 14 074 110 8 20 1038 0491 14 075 0491 69 0893 0946 14 076 0946 24 0843 .1046 14 077 1046 69 1093 0973 14 078 0973 24 1193 1146 14 079 1146 69 0669 1122 14 080 1122 24 1056 1259 14 081 1259 69 0949 1102 14 082 1102 24 0950 1203 14 G-83 1203 69 0800 1158 14 084 1158 24 1064 1167 14 085 1167 69 1057 1210 14 086 1210 24 1008 1115 14 087 1115 69 0550 1208 14 088 120 8 24 0622 0675 L 14 089 0675 69 1073 0876 Evaluate u(x =z , t . + At). 14 090 C876 24 1143 1047 14 091 104 7 69 1067 0823 14 092 0823 24 0931 0884 14 093 0884 69 1206 0570 14 094 0570 24 0850 0288 14 095 0518 69 0571 0574 14 096 0574 24 0843 0846 14 097 0846 69 0849 0802 14 098 0802 24 1056 0461 14 099 0461 69 0465 0468 14 100 0468 24 0950 1103 14 101 1103 69 1157 1160 14 102 1160 24 1064 0968 14 103 0968 69 0821 0824 14 104 0824 24 1008 1161 14 105 1161 69 1164 0918 14 106 0918 24 0622 0275 14 107 0275 69 0928 0281 ::: 14 108 0281 24 1143 1196 14 109 1196 69 1149 1116 14 110 1116 24 0931 0934 14 111 0934 69 0987 0992 14 112 0992 24 0850 1253 14 113 1253 69 1256 1071 14 114 1071 24 1038 1041 39 (APPENDIX ll- -continued~ ) NO LOCN CONTENTS REMARKS 14 115 1041 69 0894 0998 14 116 0998 24 1193 0278 14 117 1099 00 0000 0004 14 118 1163 00 0000 0006 14 119 0475 00 0000 0004 14 120 1080 00 0000 0006 14 121 1105 00 0000 0004 14 122 0873 00 0000 0006 14 123 1106 00 0000 0004 L 14 124 0436 00 0000 0006 Evaluate u(x = 2 , t + At). 14 125 0414 00 0000 0004 14 126 1156 00 0000 0006 14 127 120 7 00 0000 0004 14 128 1001 00 0000 0006 14 129 0379 00 0000 0004 14 130 0774 00 0000 0006 14 131 1023 00 0000 0004 14 132 1219 00 0000 0006 14 133 1162 00 0000 0004 14 134 1261 00 0000 0006 15 001 0571 00 0000 0000 15 002 0849 00 0000 0000 15 003 0465 00 0000 0000 15 004 115 7 00 0000 oooo 15 005 0821 00 0000 0000 15 006 1164 00 0000 oooo . Mesh ten initial conditions. 15 007 0928 00 0000 0000 15 008 1149 00 0000 oooo 15 009 0987 00 0000 0000 15 010 1256 00 0000 0000 15 011 0894 00 0000 0000 STANDARD 80 COLUMN LISTING OF THE PROGRAM DECKS MAIN PI3.0GRAM 0*"' WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 7019013000 6919521951 6919541953 6919561955 6919581957 7019950000 6919561958 2419991999 6919521902 2419951903 6919531904 2419961905 6919541906 2419971907 6919551908 2419981957 2419881996 7019948000 2419941997 6519511979 2419791998 69198219~6 2419861999 2219821989 2419891996 3500041981 2419811997 1580011990 2419901998 2219781984 2419841999 6519911992 2419921996 1019828002 2419771997 1019801985 2419851998 1580011993 2419931999 1119781983 2419831996 4419871988 2419871997 1080018002 2419821998 2400001977 ,2419911999 6919528003 2419801988 0000010000 0000000000 0000000000 000000·0000 0000000000 0000000000 0000000000 0000000007 0000000000 OOOOOOOOOO = OOOOOOOOOO = OOOOOOOOOO = OOOOOOOOOO = OOOOOOOOOO= OOOOOOOOOO ~ 0000740007 9999999999 0100000174 0000000000=0000000000=0000000000=0000000000=0000000000= 0001720007 0000000000=0000000000=65800003 74 OOOOQ00000=0000000000=0 000000000=0000000000- 0001790007 2003830386 1601880193 1901840469 20018801~1 1009170421 0000000000=0000000000= 0001860007 0000000000 0000000000=0000000000=2401880192 0000000000=1604041009 6901950198 0001930007 3500060274 0000000000=0000000000 0000000000=0000000000=2410151706 0000000000= oooz7oooo7 oooooooooo=oooooooooo=oooooooooo=oooooooooo=6402770853 oooooooooo=oooooooooo= 0002770007 0000000000=6500810285 0000000000=6901860289 0000000000=2403850870 6901860189 >'U 0002840007 6902870290 1501880182 0000000000=0000000000= 6009930297 2411090870 2400800283 ~ 0002910007 8400000179 OOOOOOOOOO=OOOOOOOOOO =OOOOOOOOOO=OOOOOOOOOO =OOOOOOOOOO =l105501005 z 0003680007 0000000000=0000000000=0000000000=000.0000000=0000000000=0000000000=200078l1SO b 0003820007 7100770651 0000000000= 0000000000=0000000000=1503918002 1603900395 0000000000= >=Ix 0003890007 0000000000=0000010000 6500000180 6900790532 0000000000=0000000000=2003990552 ·--~ 0004100007 0000000000=3500060434 6517151719 651 7151770 0000000000=0000000000 6500790483 l=l 0004170007 6900790432 0000000000=7004511801 0000000000=2100780181 0000000000=1611091063 0004310007 0000000000=2403850870 1603850489 6404790484 0000000000=0000000000=0000000000= 0004380007 0000000000=4603920553 0000000000=0000000000- 0000000000=0000000000=0000000000= 0004450007 0000000000=0000000000=0000000000-0000000000- 1910071000 0000000000=0000000000= 0004590007 0000000000=0000000000=0000000000=0000000000~4504660467 0000000000=0000000000= 0004660007 6506190423 6500790433 oooooooooo=3100050476 oooooooooo-oooooooooo~oooooooooo = 0004730007 0000000000=0000000000=0000000000=2004790482 0000000000 =0 000000000~ 0000000000 ~ 0004800007 0000000000=0000000000=6504060411 1603850439 3100010495 0000000000=0000000000= ooo487ooo7 ooooooooo0- 6080020449 4608700493 oooooooooo- oooooooooo-oooooooooo=6009240921 oo04940007 oooooooooo=2000810284 oooooooooo ~ oooooooooo - 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WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 70002 2408498000 0000000000 6919541953 70003 2404658000 0000000000 0000000650 Mesh Four R outine 6919541953 80001 2401848000 0009600000 6919541953 80002 2402878000 0000400000 6919541953 80003 2410968000 6010990953 6919541953 80004 2409538000 1910561031 -> 6919541953 80005 2410318000 1508430997 'tJ 'tJ 6919541953 80006 2409978000 1509501055 [l:j 6919541953 80007 2410558000 3500021060 z t1 6919541953 80008 2410608000 6411631098 H 6919541953 80009 2410988000 3100021014 ~ 6919541953 80010 2410148000 200669067 2 !::: ~ 6919541953 80011 2406728000 6004750429 i I 6919541953 80012 2404298000 1909501025 () 0 6919541953 80013 2410258000 1510561011 p 6919541953 80014 2410118000 1510641069 ....ri·. ....::; 6919541953 80015 2410698000 3500021077 to• (() 6919541953 80016 2410778000 6410801030 p., 6919541953 80017 2410308000 3100021044 . 6919541953 80018 2410448000 2005501002 6919541953 80019 2410028000 6011051159 6919541953 80020 2411598000 1910641089 6919541953 80021 2410898000 1509501155 6919541953 80022 2411558000 1510081114 6919541953 80023 2411148000 3500020670 6919541953 80024 2406708000 6408730923 6919541953 80025 2409238000 3100020944 6919541953 80026 2409448000 2010640927 6919541953 80027 2409278000 6906690898 6919541953 80028 2408988000 2410561111 6919541953 80029 2411118000 6905501153 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 80030 2411538000 2409501053 6919541953 80031 2410538000 6908931017 6919541953 80032 2410178000 2408430818 6919541953 80033 2408188000 6910930868 6919541953 80034 2408688000 2410080288 6919541953 80035 2410998000 0000000004 6919541953 80036 2411638000 0000000006 6919541953 80037 2404758000 0000000004 6919541953 80038 2410808000 0000000006 6919541953 80039 2411058000 0000000004 - 6919541953 80040 2408738000 0000000006 >I'd 6919541953 80041 2405188000 6905710574 I'd 6919541953 80042 2405748000 2408430846 zt::1 6919541953 80043 2408468000 6908490802 tJ ,. 1-< 6919541953 80044 2408028000 2410560461 X 80045 2404618000 6904650468 H 6919541953 1-< 1-< 6919541953 80046 2404688000 2409501103 I I 6919541953 80047 2411038000 6911571160 (l 6919541953 80048 2411608000 2410640968 0 ::s 6919541953 80049 2409688000 6908210824 ...... -;- ::s 6919541953 80050 2408248000 2410080278 s:: ro 6919541953 90001 2405718000 0000000000 p... 6919541953 90002 2408498000 oooouooooo 6919541953 90003 2404658000 0000000000 6919541953 90004 2411578000 0000000000 6919541953 90005 2408218000 0000000000 0000000650 Mesh Six Routine 6919541953 100001 2401848000 0021600000 6919541953 100002 2402878000 0000600000 ,j:>. 6919541953 100003 2410968000 6010990953 \.11 6919541953 100004 2409538000 1910561031 6919541953 100005 2410318000 1508430997 ~ 0' WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 100006 2409978000 1509501055 6919541953 100007 2410558000 3500021060 6919541953 100008 2410608000 6411631098 6919541953 100009 2410988000 3100021014 6919541953 100010 2410148000 2006690672 6919541953 100011 2406728000 6004750429 6919541953 100012 2404298000 1909501025 6919541953 100013 2410258000 1510561011 6919541953 100014 2410118000 1510641069 6919541953 100015 2410698000 3500021077 6919541953 100016 2410778000 6410801030 - 6919541953 100017 2410308000 3100021044 l"(j> 6919541953 100018 2410448000 2009491002 l"(j l"J:j 6919541953 100019 2410028000 6011051159 z 6919541953 100020 2411598000 1910641089 tJ 6919541953 H 100021 2410898000 1509501155 ~ 6919541953 100022 2411558000 1510081114 H H 6919541953 H 100023 2411148000 3500020670 i 6919541953 100024 2406708000 6408730923 I (') 6919541953 100025 2409238000 3100020944 0 :; 6919541953 100026 2409448000 2005501003 ...rt-. . 6919541953 100027 2410038000 6011061061 :; ~ 6919541953 100028 2410618000 1910080983 (D 6919541953 100029 2409838000 1510641119 p,. 6919541953 100030 2411198000 1506220977 6919541953 100031 2409778000 3500021083 6919541953 100032 2410838000 6404360486 6919541953 100033 2404868000 3100020952 6919541953 100034 2409528000 2010571110 6919541953 100035 2411108000 6004141169 6919541953 100036 2411698000 1906220199 6919541953 100037 2401998000 1510080464 6919541953 100038 2404648000 1511930497 6919541953 100039 2404978000 3500020752 6919541953 100040 2407528000 6411561107 6919541953 100041 2411078000 3100020526 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 100042 2405268000 2006220927 6919541953 100043 2409278000 6906690898 6919541953 100044 2408988000 2410561111 6919541953 100045 2411118000 6909490852 6919541953 100046 2408528000 2409501053 6919541953 100047 2410538000 6910571017 6919541953 100048 2410178000 2410080768 6919541953 100049 2407688000 6905501054 6919541953 100050 2410548000 2410640867 6919541953 100051 2408678000 6908930817 6919541953 100052 2408178000 2408430818 - 6-919541953 100053 2408188000 6910930868 ~ 1J 6919541953 100054 2408688000 2411930288 1:1 6919541953 100055 2410998000 0000000004 z 6919541953 100056 2411638000 0000000006 .....tl 6919541953 100057 2404758000 0000000004 X ..... 6919541953 . 100058 2410808000 0000000006 ..... 6919541953 100059 2411058000 0000000004 I 0 6919541953 100060 2408738000 0000000006 (l 0 6919541953 100061 2411068000 0000000004 ~ 6919541953 100062 2404368000 0000000006 .....<+ ~ 6919541953 100063 2404148000 0000000004 ~ (l) 6919541953 100064 2411568000 0000000006 p.. 6919541953 100065 2405188000 6905710574 • 6919541953 100066 2405748000 2408430846 6919541953 100067 2408468000 6908490802 6919541953 100068 2408028000 2410560461 6919541953 100069 2404618000 6904650468 6919541953 100070 2404688000 2409501103 6919541953 100071 2411038000 6911571160 6919541953 100072 2411608000 2410640968 6919541953 100073 2409688000 6908210824 6919541953 100074 2408248000 2410081161 6919541953 100075 2411618000 6911640918 ~ 6919541953 100076 2409188000 2406220275 -.J 6919541953 100077 2402758000 6909280281 ~ ():) WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 100078 2402818000 2411930278 6919541953 110001 2405718000 0000000000 6919541953 110002 2408498000 0000000000 6919541953 110003 2404658000 0000000000 6919541953 110004 2411578000 0000000000 6919541953 110005 2408218000 0000000000 6919541953 110006 2411648000 0000000000 6919541953 110007 2409288000 0000000000 0000000650 - Mesh Eight Routine 1:1> 1:1 l:t:1 z 6919541953 120001 2401848000 0038400000 tj 1-< 6919541953 12000~ 2402878000 0000800000 X 6919541953 120003 2410968000 6010990953 1-< 1-< 6919541953 120004 2409538000 1910561031 1-< I 6919541953 120005 2410318000 1508430997 I () 6919541953 120006 2409978000 1509501055 0 6919541953 120007 2410558000 3500021060 ....g.. 6919541953 120008 2410608000 6411631098 ~ ~ 6919541953 120009 2410988000 3100021014 (l) 6919541953 120010 2410148000 2006690672 p.. 6919541953 120011 2406728000 6004750429 6919541953 120012 2404298000 1909501025 - 6919541953 120013 2410258000 1510561011 6919541953 120014 2410118000 1510641069 6919541953 120015 2410698000 3500021077 6919541953 120016 2410778000 6410801030 6919541953 120017 2410308000 3100021044 6919541953 120018 2410448000 2009491002 6919541953 120019 2410028000 6011051159 6919541953 120020 2411598000 1910641089 6919541953 120021 2410898000 1509501155 6919541953 120022 2411558000 1510081114 6919541953 120023 2411148000 3500020670 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 120024 2406708000 6408730923 6919541953 120025 2409238000 3100020944 6919541953 120026 2409448000 2008001003 . 6919541953 120027 2410038000 6011061061 6919541953 120028 2410618000 1910080983 6919541953 120029 2409838000 1510641119 6919541953 120030 2411198000 1506220977 6919541953 120031 2409778000 3500021083 6919541953 120032 2410838000 6404360486 6919541953 120033 Z404868000 3100020952 6919541953 120034 24095~8000 2005501110 - 1:J> 6919541953 120035 2411108000 6004141169 1:J 6919541953 120036 2411698000 1906220199 tzj 6919541953 120037 2401998000 1510080464 z 6919541953 120038 2404648000 1511430497 ...... t::l 6919541953 120039 2404978000 3500020752 X ...... 6919541953 120040 2407528000 6411561107 ...... 0 6919541953 120041 2411078000 3100020526 0 6919541953 120042 2405268000 2010501154 () b 6919541953 120043 2411548000 6012071211 ::; .....~ 6919541953 120044 2412118000 1911431065 ::; 6919541953 120045 2410658000 1506221127. ~ ('1) 691954l953 120046 2411278000 1509310935 p.. 6919541953 120047 240g358000 3500020948 6919541953 120048 2409488000 6410011052 6919541953 120049 2410528000 3100021068 6919541953 120050 2410688000 2010731026 6919541953 120051 2410268000 6003790533 6919541953 120052 2405338000 1909311204 6919541953 120053 2412048000 1511430397 6919541953 120054 2403978000 1508501205 6919541953 120055 2412058000 3500020971 6919541953 120056 2409718000 6407740897 6919541953 120057 2408978000 3100021112 ~ 6919541953 120058 2411128000 2009310491 -..D 6919541953 120059 2404918000 6908930946 \Jl 0 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 120060 2409468000 2408431046 6919541953 120061 2410468000 6910930973 6919541953 120062 2409738000 2408501146 6919541953 120063 2411468000 6906691122 6919541953 120064 2411228000 2410561259 6919541953 120065 2412598000 6909491102 6919541953 120066 2411028000 2409501203 6919541953 120067 2412038000 6908001158 6919541953 120068 2411588000 2410641167 6919541953 120069 2411678000 6905501210 6919541953 120070 2412108000 2410081115 -> 6919541953 120071 2411158000 6910501208 ."0 6919541953 120072 2412088000 2406220675 "d 6919541953 120073 2406758000 6910730876 z~ 6919541953 120074 2408768000 2411430288 t:l ~ 6919541953 120075 2405188000 6905710574 X 6919541953 120076 2405748000 2408430846 ~ ~ ~ 6919541953 120077 2408468000 6908490802 ! I 6919541953 120078 2408028000 2410560461 () 6919541953 120079 2404618000 6904650468 0 ::i 6919541953 120080 2404688000 2409501103 ...~. ::i 6919541953 120081 2411038000 6911571160 s: 6919541953 120082 2411608000 2410640968 ~ 6919541953 120083 2409688000 6908210824 fl. 6919541953 120084 2408248000 2410081161 6919541953 120085 2411618000 691164091 8 6919541953 120086 2409188000 2406220275 6919541953 120087 2402758000 6909280281 6919541953 120088 2402818000 2411431196 6919541953 120089 2411968000 6911491116 6919541953 1 20090 2411168000 2409310934 6919541953 120091 2409348000 6909870992 6919541953 120092 2409928000 2408500278 6919541953 120093 2410998000 0000000004 6919541953 120094 2411638000 0000000006 6919541953 120095 2404758000 0000000004 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 120096 2410808000 0000000006 6919541953 120097 2411058000 0000000004 6919541953 120098 2408738000 0000000006 6919541953 120099 2411068000 0000000004 6919541953 120100 2404368000 0000000006 6919541953 120101 2404148000 0000000004 6919541953 120102 2411568000 0000000006 6919541953 120103 2412078DOO 0000000004 6919541953 120104 2410018000 0000000006 6919541953 120105 2403798000 0000000004 6919541953 120106 2407748000 0000000006 - 6919541953 130001 2405718000 0000000000 ~ 1j 6-919541953 130002 2408498000 0000000000 tx1 6919541953 130003 2404658000 0000000000 z 6919541953 130004 2411578000 0000000000 ...... tJ 6919541953 130005 2408218000 0000000000 ~ 69l9541953 130006 2411648000 0000000000 ...... 6919541953 130007 2409288000 0000000000 I I 6919541953 130008 2411498000 0000000000 () 6919541953 130009 2409878000 0000000000 0 0000000650 a..... ::l ~ (1) . Mesh Ten Routine .p.. 6919541953 140001 2401848000 0060000000 6919541953 140002 2402878000 0001000000 6919541953 140003 2410968000 6010990953 6919541953 140004 2409538000 1910561031 6919541953 140005 2410318000 1508430997 6919541953 140006 2409978000 1509501055 6919541953 140007 2410558000 3500021060 6919541953 140008 2410608000 6411631098 6919541953 140009 2410988000 3100021014 Ul 6919541953 140010 2410148000 2006690672 ...... 6919541953 140011 2406728000 6004750429 U"l N WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 · WORD 8 6919541953 140012 2404298000 1909501025 6919541953 140013 2410258000 1510561011 6919541953 140014 2410118000 1510641069 6919541953 140015 2410698000 3500021077 6919541953 140016 2410778000 6410801030 6919541953 140017 2410308000 3100021044 6919541953 140018 2410448000 2009491002 6919541953 140019 2410028000 6011051159 6919541953 140020 2411598000 1910641089 6919541953 140021 2410898000 1509501155 6919541953 140022 2411558000 1510081114 - 6919541953 140023 2411148000 3500020670 ~ 1:l 6919541953 140024 2406708000 6408730923 tx:1 6919541953 140025 2409238000 3100020944 z tl 6919541953 140026 2409448000 2008001003 1-1 6919541953 140027 2410038000 6011061061 :><: 1-1 6919541953 140028 2410618000 1910080983 1-1 1-1 6919541953 140029 2409838000 1510641119 I I 6919541953 140030 2411198000 1506220977 () 0 6919541953 140031 2409778000 3500021083 ~ 6919541953 140032 2410838000 6404360486 ~..... ~ 6919541953 140033 2404868000 3100020952 ~ (1) 6919541953 ~ 140034 2409528000 2010571110 0.. 6919541953 ~:.! 140035 2411108000 6004141169 6919541953 140036 2411698000 1906220199 6919541953 140037 2401998000 1510080464 6919541953 140038 2404648000 1511430497 6919541953 140039 2404978000 3500020752 6919541953 140040 2407528000 6411561107 6919541953 140041 2411078000 3100020526 6919541953 140042 2405268000 2005501154 6919541953 140043 2411548000 6012071211 6919541953 140044 2412118000 1911431065 6919541953 140045 2410658000 1506221127 6919541953 140046 2411278000 1509310935 6919541953 140047 2409358000 3500020948 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 140048 2409488000 6410011052 6919541953 140049 2410528000 3100021068 6919541953 140050 2410688000 2010731026 6919541953 140051 2410268000 6003790533 6919541953 140052 2405338000 1909311204 6919541953 140053 2412048000 1511430397 6919541953 140054 2403978000 1508501205 6919541953 140055 2412058000 3500020971 6919541953 140056 2409718000 6407740897 6919541953 140057 2408978000 3100021112 6919541953 140058 2411i28000 2010671070 - 6919541953 140059 2410708000 6010231027 ~ I "d 6919541953 140060 2410278000 1908501024 tzj 6919541953 140061 2410248000 1509311035 z 6919541953 140062 2410358000 1510380994 .....tj 6919541953 140063 2409948000 3500021066 X ..... 6919541953 140064 2410668000 6412191090 ..... 6919541953 140065 2410908000 3100020751 I I 6919541953 140066 2407518000 2012061209 (l 0 6919541953 140067 2412098000 6011621117 ::J .....M- 6919541953 140068 2411178000 1910381212 ::J 6919541953 140069 2412128000 1508501255 ~ (1) 6919541953 140070 2412558000 1511930847· p.. 6919541953 140071 2408478000 3500021058 6919541953 140072 2410588000 6412610947 6919541953 140073 2409478000 3100021108 6919541953 140074 2411088000 2010380491 6919541953 140075 2404918000 6908930946 6919541953 140076 2409468000 2408431046 6919541953 140077 2410468000 6910930973 6919541953 140078 2409738000 2411931146 6919541953 140079 2411468000 6906691122 6919541953 140080 2411228000 2410561259 6919541953 140081 2412598000 6909491102 U1 6919541953 140082 2411028000 2409501203 \.N 6919541953 140083 2412038000 6908001158 Ul WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 *'" 6919541953 140084 2411588000 2410641167 6919541953 140085 2411678000 6910571210 6919541953 140086 2412108000 2410081115 6919541953 140087 2411158000 6905501208 6919541953 140088 2412088000 2406220675 6919541953 140089 2406758000 6910730876 6919541953 140090 2408768000 2411431047 6919541953 140091 2410478000 6910670823 6919541953 140092 2408238000 2409310884 6919541953 140093 2408848000 6912060570 6919541953 140094 2405708000 2408500288 - 6919541953 140095 2405188000 6905710574 ~ 6919541953 140096 2405748000 2408430846 .'"d 6919541953 140097 2408468000 6908490802 zt:::1 6919541953 140098 2408028000 2410560461 tJ 6919541953 140099 2404618000 6904650468 ...... :><: 6919541953 140100 2404688000 2409501103 ...... 6919541953 140101 2411038000 6911571160 n 6919541953 140102 2411608000 2410640968 I () 6919541953 140103 2409688000 6908210824 0 ::s 6919541953 140104 2408248000 2410081161 ,_.c-r. 6919541953 140105 2411618000 6911640918 g 6919541953 140106 2409188000 2406220275 Cb 6919541953 140107 2402758000 6909280281 p.. 6919541953 140108 2402818000 2411431196 6919541953 140109 2411968000 6911491116 6919541953 140110 2411168000 2409310934 6919541953 140111 2409348000 6909870992 6919541953 140112 2409928000 2408501253 6919541953 140113 2412538000 6912561071 6919541953 140114 2410718000 2410381041 6919541953 140115 2410418000 6908940998 6919541953 140116 2409988000 2411930278 6919541953 140117 2410998000 0000000004 6919541953 140118 2411638000 0000000006 6919541953 140119 2404758000 0000000004 WORD 1 WORD 2 WORD 3 WORD 4 WORD 5 WORD 6 WORD 7 WORD 8 6919541953 140120 2410808000 0000000006 6919541953 140121 2411058000 0000000004 6919541953 14·0 122 2408 738 000 0000000006 6·9 1 9 5 41 9 5 3 140123 2411068000 0000000004 6919541953 140124 Z404368000 0000000006 6919541953 140125 2404148000 0000000004 6919541953 140126 2411568000 0000000006:- 6919541953 140127 241.2 0 7800 0 0 ODO * Denotes a non-load card. All other cards_are loa:d cards (12 punch in col. 1). Ul Ul EXAMPLE DATA AND OUTPUT THREE SETS OF EXAMPLE DATA Ul 0' WORD 1 WORD 2 WORD 3 WORD .4 WORD 5 WORD 6 WORD 7 WORD 8 0000005000 0070000000 0000200000 0000100000 0003900000 0000100000 0000581051 i ~ 1000010000 0000000021 0000000021 0000000021 0000000021 0000000021 0000000021 0000000021 1000020022 oooooooo26 oooooooo30 oooooooo35 oooooo0044 oooqoooo52 oooooo0063 oooooooo11 1000030091 0000000107 0000000125 0000000144 0000000166 0000000187 0000000211 0000000239 1000040267 0000000298 0000000326 0000000359 0000000394 0000000429 0000000467 0000000505 1000050546 0000000589 0000000629 0000000675 0000000719 0000000767 0000000815 0000000860 1000060912 0000000961 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000070000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000080000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000090000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000100000 0000000023 0000000023 0000000023 0000000023 0000000023 0000000023 0000000023 1000110023 0000000023 0000000023 0000000023 0000000024 0000000025 0000000026 0000000027 1000120029 0000000031 0000000034 0000000039 0000000045 0000000051 0000000060 0000000068 1000130077 0000000088 0000000099 0000000112 0000000126 0000000143 0000000159 0000000178 1000140200 1j> 0000000219 0000000243 0000000269 0000000294 0000000321 0000000348 0000000381 1000150414 1j 0000000444 0000000000 0000000000 0000000000 OOOOOQOOOO 0000000000 0000000000 1000160000 zt:1 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000170000 tJ H 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000180000 X 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000190000 H 0000000000 0000000000 0000000000 0000000000 0000000006 0000000000 0000000000 1000200000 < 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000210000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000220000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000230000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000240000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000250000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000260000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000270000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 1000280000 0067000000 0000200000 0000100000 0003700000 0000100000 0000581051 2000010000 0000000019 0000000019 0000000019 0000000019 0000000019 0000000019 0000000020 2000020022 0000000027 0000000032 0000000041 0000000048 0000000060 0000000073 0000000086 2000030103 0000000121 0000000142 0000000164 0000000185 0000000214 0000000241 0000000271 2000040302 0000000337 0000000371 0000000409 0000000448 0000000487 0000000531 0000000573 2000050617 0000000664 0000000712 0000000761 0000000814 0000000863 0000000916 0000000968 2000060000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 0000000000 2000070000 'I .. 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Answers for the Preceeding Data tl H :X 0070000000 0000005100 0000000162 0000600000 0000052746 0000000073 0000000000 0000000000 H 0070000000 0000005200 0000000563 0000600000 0000051732 0000000075 0000000000 0000000000 APPENDIX V UNUSED GENERAL STORAGE LOCATIONS 0048, 0049, 0076, 0085-0099, 0148, . 0149, 0175-0178, 0185, 0187, 0190, 0194, 0196, , 0197, 0248, 0249, 0276, 0279, 0286, 0292-0296, 0298, , 0299, 0348, 0349,. 0375-0378, 0380~ 0381,. 0384, 0388, 0389, . 0393, 0394, 0396, 0398, 04.00, 0418, 04.20, 0422, 0424-0428, 0430, ' 0431, 0435, 0437 •. 0438, 0440.r 0~48, 0450, 0462, 04 70.-04 74, 04 77. 04 78,f 0480, 0481, 0485,. 04.87. 0490, 0492, 0494, 0496, 0498, 0499, 0523, 0524, 0527-0531, 0534t0549, 0572, 0573, 0575- 0599, 0617. 0620, 0621, 0623- 0649, 0671, 0673, 0674, 0676-0699, 0702-0709, 0711-0719, 0722-0749, 0756, 0757, 0759, 0760, 0762, 0763, . 0765, 0766, . 0769~ 0770, 0772, 0773~ 0776-0799, 0801, 0804- 0806, 0808-0811, 0813, 0822, 0825-0842, 0844. •. 0845, 0~.48, 0851, 0880, 0882, 0885-0887. 0889-0892, . 0895, 0908, 091'4, 0926, . 0~30, 0932, ., 0936- 0942, o945, o951, o980, 098a, . o984, D989-0991, . 0995, 1o1.8, 1o28, 1o29, 1032,. 1034, 1036, 1037. 1039, .. 1040, 1042, 1045; 104;8, 1051, 106Z., 1067. 1074, 1082, 1084, 1087. 1091, 1092, 1094, 1095, 1Q97. 1101, 1118, 1121, 1123- 1126. 1128-1142, 1144, 1145, 1147, U48, 1151, 1152, 1165, . 1166, 1168, .1170- ·I 1192, .1194,. 1195, .1197-1202, 1413-1218,1220-1252, 1254, 1257 • . 12.'58, 1260, ' ' ' ' • I 1262--1599, 1602-1650, . 1652-1700, 1702, 17q3, .1707, 1711, · 1716_-1718, 1720, ' ' 1721, 1726, 1729-1732,. 1735-17.37, 1744-1749, 1,752, 1753,1757, 1759, 1767, • ~ ~ · ' ' ' \ ' ,- ,'. ! I , f ' ' • ' ~ ' ' / . I ' I I • ~ t 1768, 1773, 1775, 1776, 1779, .1782, 1786.;.1788, 1791, 1794, F96, 1197, 1799, 1800,' 1802, 1803, 1806, 1807, 1809-1811, 1814-..1818, 1821,, 1823, 1825, 1826, ' ·, - . . . ' . . 1829, 1830, 1836-1839, 1841 ... l9oo, .1911-t9so.: · ..