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Comparing Historical and Modern Methods of Sea Surface Temperature
EGU Journal Logos (RGB) Open Access Open Access Open Access Advances in Annales Nonlinear Processes Geosciences Geophysicae in Geophysics Open Access Open Access Natural Hazards Natural Hazards and Earth System and Earth System Sciences Sciences Discussions Open Access Open Access Atmospheric Atmospheric Chemistry Chemistry and Physics and Physics Discussions Open Access Open Access Atmospheric Atmospheric Measurement Measurement Techniques Techniques Discussions Open Access Open Access Biogeosciences Biogeosciences Discussions Open Access Open Access Climate Climate of the Past of the Past Discussions Open Access Open Access Earth System Earth System Dynamics Dynamics Discussions Open Access Geoscientific Geoscientific Open Access Instrumentation Instrumentation Methods and Methods and Data Systems Data Systems Discussions Open Access Open Access Geoscientific Geoscientific Model Development Model Development Discussions Open Access Open Access Hydrology and Hydrology and Earth System Earth System Sciences Sciences Discussions Open Access Ocean Sci., 9, 683–694, 2013 Open Access www.ocean-sci.net/9/683/2013/ Ocean Science doi:10.5194/os-9-683-2013 Ocean Science Discussions © Author(s) 2013. CC Attribution 3.0 License. Open Access Open Access Solid Earth Solid Earth Discussions Comparing historical and modern methods of sea surface Open Access Open Access The Cryosphere The Cryosphere temperature measurement – Part 1: Review of methods, Discussions field comparisons and dataset adjustments J. B. R. Matthews School of Earth and Ocean Sciences, University of Victoria, Victoria, BC, Canada Correspondence to: J. B. R. Matthews ([email protected]) Received: 3 August 2012 – Published in Ocean Sci. Discuss.: 20 September 2012 Revised: 31 May 2013 – Accepted: 12 June 2013 – Published: 30 July 2013 Abstract. Sea surface temperature (SST) has been obtained 1 Introduction from a variety of different platforms, instruments and depths over the past 150 yr. -
Balanced Dynamics in Rotating, Stratified Flows
Balanced Dynamics in Rotating, Stratified Flows: An IPAM Tutorial Lecture James C. McWilliams Atmospheric and Oceanic Sciences, UCLA tutorial (n) 1. schooling on a topic of common knowledge. 2. opinion offered with incomplete proof or illustration. These are notes for a lecture intended to introduce a primarily mathematical audience to the idea of balanced dynamics in geophysical fluids, specifically in relation to climate modeling. A more formal presentation of some of this material is in McWilliams (2003). 1 A Fluid Dynamical Hierarchy The vast majority of the kinetic and available potential energy in the general circulation of the ocean and atmosphere, hence in climate, is constrained by approximately “balanced” forces, i.e., geostrophy in the horizontal plane (Coriolis force vs. pressure gradient) and hydrostacy in the vertical direction (gravitational buoyancy force vs. pressure gradient), with the various external and phase-change forces, molecular viscosity and diffusion, and parcel accelerations acting as small residuals in the momentum balance. This lecture is about the theoretical framework associated with this type of diagnostic force balance. Parametric measures of dynamical influence of rotation and stratification are the Rossby and Froude numbers, V V Ro = and F r = : (1) fL NH V is a characteristic horizontal velocity magnitude, f = 2Ω is Coriolis frequency (Ω is Earth’s rotation rate), N is buoyancy frequency for the stable density stratification, and (L; H) are (hor- izontal, vertical) length scales. For flows on the planetary scale and mesoscale, Ro and F r are typically not large. Furthermore, since for these flows the atmosphere and ocean are relatively thin, the aspect ratio, H λ = ; (2) L is small. -
Symmetric Instability in the Gulf Stream
Symmetric instability in the Gulf Stream a, b c d Leif N. Thomas ⇤, John R. Taylor ,Ra↵aeleFerrari, Terrence M. Joyce aDepartment of Environmental Earth System Science,Stanford University bDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge cEarth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology dDepartment of Physical Oceanography, Woods Hole Institution of Oceanography Abstract Analyses of wintertime surveys of the Gulf Stream (GS) conducted as part of the CLIvar MOde water Dynamic Experiment (CLIMODE) reveal that water with negative potential vorticity (PV) is commonly found within the surface boundary layer (SBL) of the current. The lowest values of PV are found within the North Wall of the GS on the isopycnal layer occupied by Eighteen Degree Water, suggesting that processes within the GS may con- tribute to the formation of this low-PV water mass. In spite of large heat loss, the generation of negative PV was primarily attributable to cross-front advection of dense water over light by Ekman flow driven by winds with a down-front component. Beneath a critical depth, the SBL was stably strat- ified yet the PV remained negative due to the strong baroclinicity of the current, suggesting that the flow was symmetrically unstable. A large eddy simulation configured with forcing and flow parameters based on the obser- vations confirms that the observed structure of the SBL is consistent with the dynamics of symmetric instability (SI) forced by wind and surface cooling. The simulation shows that both strong turbulence and vertical gradients in density, momentum, and tracers coexist in the SBL of symmetrically unstable fronts. -
The Unnamed Atlantic Tropical Storms of 1970
944 MONTHLY WEATHER REVIEW Vol. 99, No. 12 UDC 551.515.23:661.507.35!2:551.607.362.2(261) “1970.08-.lo” THE UNNAMED ATLANTIC TROPICAL STORMS OF 1970 DAVID B. SPIEGLER Allied Research Associates, Inc., Concord, Mass. ABSTRACT A detailed analysis of conventional and aircraft reconnaissance data and satellite pictures for two unnamed Atlantic Ocean cyclones during 1970 indicates that the stqrms were of tropical nature and were probably of at least minimal hurricane intensity for part of their life history. Prior to becoming a hurricane, one of the storms exhibited characteristics not typical of any of the recognized classical cyclone types [i.e., tropical, extratropical, and subtropical (Kona)]. The implications of this are discussed and the concept of semitropical cyclones as a separate cyclone category is advanced. 6. INTRODUCTION ing recognition of hybrid-type storms provides additional support for the recommendation. During the 1970 tropical cyclone season, tn7o storms occurred that were not given names at the time. The 2. UNNAMED STORM NO. I-AUG. Q3-$8, 6970 National Hurricane Center (NHC) monitored their prog- ress and issued bulletins throughout their life history but A mell-organized tropical disturbance noted on satellite they mere not officially recognized as tropical cyclones of pictures during August 8, south of the Cape Verde Islands tropical storm or hurricane intensity. In their annual post- in the far eastern tropical Atlantic, intensified to ti strong season summary of the hurricane season, NHC discusses depression as it moved westmarcl. On Thursday, August 13, these storms in some detail (Simpson and Pelissier 1971) some further intensification of the system appeared to be but thej- are not presently included in the official list of taking place while the depression was about 250 mi 1970 tropical storms. -
Balanced Flow Natural Coordinates
Balanced Flow • The pressure and velocity distributions in atmospheric systems are related by relatively simple, approximate force balances. • We can gain a qualitative understanding by considering steady-state conditions, in which the fluid flow does not vary with time, and by assuming there are no vertical motions. • To explore these balanced flow conditions, it is useful to define a new coordinate system, known as natural coordinates. Natural Coordinates • Natural coordinates are defined by a set of mutually orthogonal unit vectors whose orientation depends on the direction of the flow. Unit vector tˆ points along the direction of the flow. ˆ k kˆ Unit vector nˆ is perpendicular to ˆ t the flow, with positive to the left. kˆ nˆ ˆ t nˆ Unit vector k ˆ points upward. ˆ ˆ t nˆ tˆ k nˆ ˆ r k kˆ Horizontal velocity: V = Vtˆ tˆ kˆ nˆ ˆ V is the horizontal speed, t nˆ ˆ which is a nonnegative tˆ tˆ k nˆ scalar defined by V ≡ ds dt , nˆ where s ( x , y , t ) is the curve followed by a fluid parcel moving in the horizontal plane. To determine acceleration following the fluid motion, r dV d = ()Vˆt dt dt r dV dV dˆt = ˆt +V dt dt dt δt δs δtˆ δψ = = = δtˆ t+δt R tˆ δψ δψ R radius of curvature (positive in = R δs positive n direction) t n R > 0 if air parcels turn toward left R < 0 if air parcels turn toward right ˆ dtˆ nˆ k kˆ = (taking limit as δs → 0) tˆ R < 0 ds R kˆ nˆ ˆ ˆ ˆ t nˆ dt dt ds nˆ ˆ ˆ = = V t nˆ tˆ k dt ds dt R R > 0 nˆ r dV dV dˆt = ˆt +V dt dt dt r 2 dV dV V vector form of acceleration following = ˆt + nˆ dt dt R fluid motion in natural coordinates r − fkˆ ×V = − fVnˆ Coriolis (always acts normal to flow) ⎛ˆ ∂Φ ∂Φ ⎞ − ∇ pΦ = −⎜t + nˆ ⎟ pressure gradient ⎝ ∂s ∂n ⎠ dV ∂Φ = − dt ∂s component equations of horizontal V 2 ∂Φ momentum equation (isobaric) in + fV = − natural coordinate system R ∂n dV ∂Φ = − Balance of forces parallel to flow. -
GEF 1100 – Klimasystemet Chapter 7: Balanced Flow
GEF1100–Autumn 2014 30.09.2014 GEF 1100 – Klimasystemet Chapter 7: Balanced flow Prof. Dr. Kirstin Krüger (MetOs, UiO) 1 Ch. 7 – Balanced flow 1. Motivation Ch. 7 2. Geostrophic motion 2.1 Geostrophic wind – 2.2 Synoptic charts 2.3 Balanced flows 3. Taylor-Proudman theorem 4. Thermal wind equation* 5. Subgeostrophic flow: The Ekman layer 5.1 The Ekman layer* 5.2 Surface (friction) wind 5.3 Ageostrophic flow 6. Summary Lecture Outline Lecture 7. Take home message *With add ons. 2 1. Motivation Motivation x Oslo wind forecast for today 12–18: 2 m/s light breeze, east-northeast x www.yr.no 3 2. Geostrophic motion Scale analysis – geostrophic balance Consider magnitudes of first 2 terms in momentum eq. for a fluid on a rotating 퐷퐮 1 sphere (Eq. 6-43 + f 풛 × 풖 + 훻푝 + 훻훷 = ℱ) for horizontal components 퐷푡 휌 in a free atmosphere (ℱ=0,훻훷=0): 퐷퐮 휕푢 • +f 풛 × 풖 = +풖 ∙ 훻풖 + f 풛 × 풖 퐷푡 휕푡 Large-scale flow magnitudes in atmosphere: 푈 푈2 fU 푢 and 푣 ∼ 풰, 풰∼10 m/s, length scale: L ∼106 m, 5 2 -4 -2 푇 time scale: 풯 ∼10 s, U/ 풯≈ 풰 /L ∼10 ms , 퐿 f ∼ 10-4 s-1 10−4 10−4 10−3 45° • Rossby number: - Ratio of acceleration terms (U2/L) to Coriolis term (f U), - R0=U/f L - R0≃0.1 for large-scale flows in atmosphere -3 (R0≃10 in ocean, Chapter 9) 4 2. Geostrophic motion Scale analysis – geostrophic balance • Coriolis term is left (≙ smallness of R0) together with the pressure gradient term (~10-3): 1 f 풛 × 풖 + 훻푝 = 0 Eq. -
Automated Underway Oceanic and Atmospheric Measurements from Ships
AUTOMATED UNDERWAY OCEANIC AND ATMOSPHERIC MEASUREMENTS FROM SHIPS Shawn R. Smith (1), Mark A. Bourassa (1), E. Frank Bradley (2), Catherine Cosca (3), Christopher W. Fairall (4), Gustavo J. Goni (5), John T. Gunn (6), Maria Hood (7), Darren L. Jackson (8), Elizabeth C. Kent (9), Gary Lagerloef (6), Philip McGillivary (10), Loic Petit de la Villéon (11), Rachel T. Pinker (12), Eric Schulz (13), Janet Sprintall (14), Detlef Stammer (15), Alain Weill (16), Gary A. Wick (17), Margaret J. Yelland (9) (1) Center for Ocean-Atmospheric Prediction Studies, Florida State University, Tallahassee, FL 32306-2840, USA, Emails: [email protected], [email protected] (2) CSIRO Land and Water, PO Box 1666, Canberra, ACT 2601, AUSTRALIA, Email: [email protected] (3) NOAA/PMEL, 7600 Sand Point Way NE, Seattle, WA 98115, USA, Email: [email protected] (4) NOAA/ESRL/PSD, R/PSD3, 325 Broadway, Boulder, CO 80305-3328, USA, Email: [email protected] (5) USDC/NOAA/AOML/PHOD, 4301 Rickenbacker Causeway, Miami, FL 33149, USA, Email: [email protected] (6) Earth and Space Research, 2101 Fourth Ave., Suite 1310, Seattle, WA, 98121, USA, Emails: [email protected], [email protected] (7) Intergovernmental Oceanographic Commission UNESCO, 1, rue Miollis, 75732 Paris Cedex 15, FRANCE, Email: [email protected] (8) Cooperative Institute for Research in Environmental Sciences, NOAA/ESRL/PSD, 325 Broadway, R/PSD2, Boulder, CO 80305, USA, Email: [email protected] (9) National Oceanography Centre, European Way, Southampton, SO14 3ZH, UK, Emails: [email protected], -
Climatology of the Great Plains Low Level Jet Using a Balanced Flow Model with Linear Friction By
Climatology of the Great Plains Low Level Jet Using a Balanced Flow Model with Linear Friction by Stephanie Marder Vaughn Submitted to the Department of Civil and Environmental Engineering in Partial Fulfillment of the Requirements of the Degree of Master of Science in Civil and Environmental Engineering at the Massachusetts Institute of Technology June 1996 @ Massachusetts Institute of Technology 1996. All Rights Reserved. Signature of Author....................... .. .......... ................. Department of Civil and Environmenal Engineering March 29, 1996 Certified by................................... ........................................... ............ .. Dara Entekhabi Associate Professor Thesis Supervisor •i Chairman, Departmental Connmittee on Graduate Studih. iMASSACHUSETTS INS'ITiJ TE OF TECHNOLOGY JUN 0 5 1996 LIBRARIES . ·1 Climatology of the Great Plains Low Level Jet Using a Balanced Flow Model with Linear Friction by Stephanie Marder Vaughn Submitted to the Department of Civil and Environmental Engineering on March 29, 1996 in Partial Fulfillment of the Requirements of the Degree of Master of Science in Civil and Environmental Engineering Abstract The nighttime low-level-jet (LLJ) originating from the Gulf of Mexico carries moisture into the Great Plains area of the United States. The LLJ is considered to be a major contributor to the low-level transport of water vapor into this region. In order to study the effects of this jet on the climatology of the Great Plains, a balanced-flow model of low- level winds incorporating a linear friction assumption is applied. Two summertime data sets are used in the analysis. The first covers an area from the Gulf of Mexico up to the Canadian border. This 10 x 10 resolution data is used, first, to determine the viability of the linear friction assumption and, second, to examine the extent of the LLJ effects. -
Chapter 7 Balanced Flow
Chapter 7 Balanced flow In Chapter 6 we derived the equations that govern the evolution of the at- mosphere and ocean, setting our discussion on a sound theoretical footing. However, these equations describe myriad phenomena, many of which are not central to our discussion of the large-scale circulation of the atmosphere and ocean. In this chapter, therefore, we focus on a subset of possible motions known as ‘balanced flows’ which are relevant to the general circulation. We have already seen that large-scale flow in the atmosphere and ocean is hydrostatically balanced in the vertical in the sense that gravitational and pressure gradient forces balance one another, rather than inducing accelera- tions. It turns out that the atmosphere and ocean are also close to balance in the horizontal, in the sense that Coriolis forces are balanced by horizon- tal pressure gradients in what is known as ‘geostrophic motion’ – from the Greek: ‘geo’ for ‘earth’, ‘strophe’ for ‘turning’. In this Chapter we describe how the rather peculiar and counter-intuitive properties of the geostrophic motion of a homogeneous fluid are encapsulated in the ‘Taylor-Proudman theorem’ which expresses in mathematical form the ‘stiffness’ imparted to a fluid by rotation. This stiffness property will be repeatedly applied in later chapters to come to some understanding of the large-scale circulation of the atmosphere and ocean. We go on to discuss how the Taylor-Proudman theo- rem is modified in a fluid in which the density is not homogeneous but varies from place to place, deriving the ‘thermal wind equation’. Finally we dis- cuss so-called ‘ageostrophic flow’ motion, which is not in geostrophic balance but is modified by friction in regions where the atmosphere and ocean rubs against solid boundaries or at the atmosphere-ocean interface. -
Section 5 Development of and Studies with Regional and Smaller-Scale
Section 5 Development of and studies with regional and smaller-scale atmospheric models, regional ensemble forecasting Verification of mesoscale forecasts by a high resolution non-hydrostatic model at JMA Kohei Aranami and Tomonori Segawa Numerical Prediction Division, 1-3-4 Otemachi, Chiyoda-ku, Tokyo 100-8122, Japan E-mail: [email protected], [email protected] 1 Introduction etary boundary layer is reduced to be half of 10km- Japan Meteorological Agency (JMA) started op- NHM. The horizontal mixing length is reduced to erating a mesoscale numerical weather prediction the same value of that of vertical. system for disaster prevention in March 2001 us- The Kessler-type conversion threshold from con- ing a hydrostatic model (MSM) with a horizon- vective condensate to precipitation is increased tal resolution 10 km. A non-hydrostatic model and life times of deep and shallow convection are (JMANHM, Saito et al., 2006, hereafter 10km- changed in the Kain Fritsch cumulus parameteri- NHM) has been operating since September 2004 zation scheme (Kain and Fritsch, 1993) that affects with the same horizontal resolution. The horizon- greatly the accuracy of precipitation forecasts. tal resolution is planned to be enhanced to 5 km 3 Verification results (5km-NHM) in March 2006 on the new computer In this section, the performance of 5km-NHM is system of JMA. shown in terms of statistical verification scores in 2 Specifications of 5km-NHM comparison with 10km-NHM for the period of June In this section, the specifications which are to July in 2004 and January to February in 2005. -
Downloaded 09/23/21 08:03 PM UTC 2556 MONTHLY WEATHER REVIEW VOLUME 126 Centrated at the Tropopause
OCTOBER 1998 MORGAN AND NIELSEN-GAMMON 2555 Using Tropopause Maps to Diagnose Midlatitude Weather Systems MICHAEL C. MORGAN Department of Atmospheric and Oceanic Sciences, University of WisconsinÐMadison, Madison, Wisconsin JOHN W. N IELSEN-GAMMON Department of Meteorology, Texas A&M University, College Station, Texas (Manuscript received 23 June 1997, in ®nal form 28 November 1997) ABSTRACT The use of potential vorticity (PV) allows the ef®cient description of the dynamics of nearly balanced at- mospheric ¯ow phenomena, but the distribution of PV must be simply represented for ease in interpretation. Representations of PV on isentropic or isobaric surfaces can be cumbersome, as analyses of several surfaces spanning the troposphere must be constructed to fully apprehend the complete PV distribution. Following a brief review of the relationship between PV and nearly balanced ¯ows, it is demonstrated that the tropospheric PV has a simple distribution, and as a consequence, an analysis of potential temperature along the dynamic tropopause (here de®ned as a surface of constant PV) allows for a simple representation of the upper-tropospheric and lower-stratospheric PV. The construction and interpretation of these tropopause maps, which may be termed ``isertelic'' analyses of potential temperature, are described. In addition, techniques to construct dynamical representations of the lower-tropospheric PV and near-surface potential temperature, which complement these isertelic analyses, are also suggested. Case studies are presented to illustrate the utility of these techniques in diagnosing phenomena such as cyclogenesis, tropopause folds, the formation of an upper trough, and the effects of latent heat release on the upper and lower troposphere. -
Announcements
Announcements • HW5 is due at the end of today’s class period • Exam 2 is due next Wednesday (4 Nov) • Let me know if you have any conflicts or problems with this due date related to election day on 3 Nov • The exam will be posted on the class Canvas web page after Friday’s review session on 30 Oct • The exam will be a closed book exam but you will be allowed to use one double-sided cheat sheet • You should plan to complete the exam in one sitting in about 2 hours • The completed exam needs to be e-mailed to me by no later than 1:45PM on Wednesday 4 Nov • During Friday’s review session I will be happy to answer any questions about material that may be on exam 2 Balanced Flow • We will consider balanced flows in which the wind is parallel to height (pressure) contours and the horizontal momentum equation reduces to: �! �Φ + �� = − � �� • We will look at all possible force balances represented by this equation and consider when each of these balances is most appropriate. Balanced Flow: Inertial Flow • Assume negligible pressure gradient �! + �� = 0 � • What is the path followed by an air parcel for this force balance? � � = − � Antarctic Inertial Flow Balanced Flow: Cyclostrophic Flow " ! " $ • Rossby number: �� = # = #$ #% • What conditions result in a large Rossby number? • What does a large Rossby number imply about the force balance acting on the flow? �! �Φ = − � �� Balanced Flow: Cyclostrophic Flow • Can cyclostrophic flow occur around both low and high pressure centers? �Φ &.( � = −� �� Balanced Flow: Cyclostropic Flow Example: A tornado is observed to have a radius of 600 m and a wind speed of 130 m s-1 - What is the Rossby number for this flow? - Estimate the pressure at the center of this tornado, assuming that the pressure at the outer edge of the tornado is 1000 mb.