A Coriolis Tutorial, Part 4
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A Global Ocean Wind Stress Climatology Based on Ecmwf Analyses
NCAR/TN-338+STR NCAR TECHNICAL NOTE - August 1989 A GLOBAL OCEAN WIND STRESS CLIMATOLOGY BASED ON ECMWF ANALYSES KEVIN E. TRENBERTH JERRY G. OLSON WILLIAM G. LARGE T (ANNUAL) 90N 60N 30N 0 30S 60S 90S- 0 30E 60E 90E 120E 150E 180 150 120N 90 6W 30W 0 CLIMATE AND GLOBAL DYNAMICS DIVISION I NATIONAL CENTER FOR ATMOSPHERIC RESEARCH BOULDER. COLORADO I Table of Contents Preface . v Acknowledgments . .. v 1. Introduction . 1 2. D ata . .. 6 3. The drag coefficient . .... 8 4. Mean annual cycle . 13 4.1 Monthly mean wind stress . .13 4.2 Monthly mean wind stress curl . 18 4.3 Sverdrup transports . 23 4.4 Results in tropics . 30 5. Comparisons with Hellerman and Rosenstein . 34 5.1 Differences in wind stress . 34 5.2 Changes in the atmospheric circulation . 47 6. Interannual variations . 55 7. Conclusions ....................... 68 References . 70 Appendix I ECMWF surface winds .... 75 Appendix II Curl of the wind stress . 81 Appendix III Stability fields . 83 iii Preface Computations of the surface wind stress over the global oceans have been made using surface winds from the European Centre for Medium Range Weather Forecasts (ECMWF) for seven years. The drag coefficient is a function of wind speed and atmospheric stability, and the density is computed for each observation. Seven year climatologies of wind stress, wind stress curl and Sverdrup transport are computed and compared with those of other studies. The interannual variability of these quantities over the seven years is presented. Results for the long term and individual monthly means are archived and available at NCAR. -
The Gulf Stream
The Gulf Stream Prepared by Distribution Branch Physical Science Services Section October 1985 (Educational Pamphlet No. 11) U.S. DEPARTMENT OF COMMERCE National Oceanic And Atmospheric Administration National Ocean Service U.S. DEPARTMENT OF COMMERCE National Oceanic and Atmospheric Administration National Ocean Service Rockville, Maryland The Gulf Stream, a vast and powerful Atlantic Ocean cutrent, is first discernible in the Straits of Florida. In this area, the Stream is like a river 40 miles wi~e, 2,000 feet deep, flowin~ at a velocity of five miles an hour, and discharging 100 billion tons of water per hour. From the Straits of Florida, it takes a very narrow course up the North American coast to Newfoundland and then veers toward Europe (Fig. 1). Within the Straits, the lateral boundaries of the Gulf Stream are fairly well fixed, but when it flows into the open sea its boundaries become indefinite. Northeast of Cape Hatteras, the Stream often forms great looping meanders which change position with time. The major axis of the Stream within the Straits of Florida is known to mi~rate laterally; that is, it moves closer to or farther from the coast. As with most large natural phenomena, the Gulf Stream has given rise to a number of amazing legends--the products of much imagination and only a little knowledge. Early ideas were restricted by the very crude description of the Stream then available and, more importantly, by the fact that there was no well-developed knowledge of t'his physical characteristics--the velocity, volume, position, andvariation of flow. -
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. -
Navier-Stokes Equation
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Lesson 8: Currents
Standards Addressed National Science Lesson 8: Currents Education Standards, Grades 9-12 Unifying concepts and Overview processes Physical science Lesson 8 presents the mechanisms that drive surface and deep ocean currents. The process of global ocean Ocean Literacy circulation is presented, emphasizing the importance of Principles this process for climate regulation. In the activity, students The Earth has one big play a game focused on the primary surface current names ocean with many and locations. features Lesson Objectives DCPS, High School Earth Science Students will: ES.4.8. Explain special 1. Define currents and thermohaline circulation properties of water (e.g., high specific and latent heats) and the influence of large bodies 2. Explain what factors drive deep ocean and surface of water and the water cycle currents on heat transport and therefore weather and 3. Identify the primary ocean currents climate ES.1.4. Recognize the use and limitations of models and Lesson Contents theories as scientific representations of reality ES.6.8 Explain the dynamics 1. Teaching Lesson 8 of oceanic currents, including a. Introduction upwelling, density, and deep b. Lecture Notes water currents, the local c. Additional Resources Labrador Current and the Gulf Stream, and their relationship to global 2. Extra Activity Questions circulation within the marine environment and climate 3. Student Handout 4. Mock Bowl Quiz 1 | P a g e Teaching Lesson 8 Lesson 8 Lesson Outline1 I. Introduction Ask students to describe how they think ocean currents work. They might define ocean currents or discuss the drivers of currents (wind and density gradients). Then, ask them to list all the reasons they can think of that currents might be important to humans and organisms that live in the ocean. -
Ekman Layer at the Sea Surface • Ekman Mass Transport • Application of Ekman Theory • Langmuir Circulation • Important Concepts
Principle of Oceanography Gholamreza Mashayekhinia 2013_2014 Response of the Upper Ocean to Winds Contents • Inertial Motion • Ekman Layer at the Sea Surface • Ekman Mass Transport • Application of Ekman Theory • Langmuir Circulation • Important Concepts Inertial Motion The response of the ocean to an impulse that sets the water in motion. For example, the impulse can be a strong wind blowing for a few hours. The water then moves under the influence of coriolis force and gravity. No other forces act on the water. In physics, the Coriolis effect is a deflection of moving objects when they are viewed in a rotating reference frame. This low pressure system over Iceland spins counter-clockwise due to balance between the Coriolis force and the pressure gradient force. Such motion is said to be inertial. The mass of water continues to move due to its inertia. If the water were in space, it would move in a straight line according to Newton's second law. But on a rotating Earth, the motion is much different. The equations of motion for a frictionless ocean are: 푑푢 1 휕푝 = − + 2Ω푣 푠푖푛휑 (1a) 푑푡 휌 휕푥 푑푣 1 휕푝 = − − 2Ω푢 푠푖푛휑 (1b) 푑푡 휌 휕푦 푑휔 1 휕푝 = − + 2Ω푢 푐표푠휑 − 푔 (1c) 푑푡 휌 휕푥 Where p is pressure, Ω = 2 π/(sidereal day) = 7.292 × 10-5 rad/s is the rotation of the Earth in fixed coordinates, and φ is latitude. We have also used Fi = 0 because the fluid is frictionless. Let's now look for simple solutions to these equations. To do this we must simplify the momentum equations. -
Vorticity Production Through Rotation, Shear, and Baroclinicity
A&A 528, A145 (2011) Astronomy DOI: 10.1051/0004-6361/201015661 & c ESO 2011 Astrophysics Vorticity production through rotation, shear, and baroclinicity F. Del Sordo1,2 and A. Brandenburg1,2 1 Nordita, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden e-mail: [email protected] 2 Department of Astronomy, AlbaNova University Center, Stockholm University, 10691 Stockholm, Sweden Received 31 August 2010 / Accepted 14 February 2011 ABSTRACT Context. In the absence of rotation and shear, and under the assumption of constant temperature or specific entropy, purely potential forcing by localized expansion waves is known to produce irrotational flows that have no vorticity. Aims. Here we study the production of vorticity under idealized conditions when there is rotation, shear, or baroclinicity, to address the problem of vorticity generation in the interstellar medium in a systematic fashion. Methods. We use three-dimensional periodic box numerical simulations to investigate the various effects in isolation. Results. We find that for slow rotation, vorticity production in an isothermal gas is small in the sense that the ratio of the root-mean- square values of vorticity and velocity is small compared with the wavenumber of the energy-carrying motions. For Coriolis numbers above a certain level, vorticity production saturates at a value where the aforementioned ratio becomes comparable with the wavenum- ber of the energy-carrying motions. Shear also raises the vorticity production, but no saturation is found. When the assumption of isothermality is dropped, there is significant vorticity production by the baroclinic term once the turbulence becomes supersonic. In galaxies, shear and rotation are estimated to be insufficient to produce significant amounts of vorticity, leaving therefore only the baroclinic term as the most favorable candidate. -
Surface Circulation2016
OCN 201 Surface Circulation Excess heat in equatorial regions requires redistribution toward the poles 1 In the Northern hemisphere, Coriolis force deflects movement to the right In the Southern hemisphere, Coriolis force deflects movement to the left Combination of atmospheric cells and Coriolis force yield the wind belts Wind belts drive ocean circulation 2 Surface circulation is one of the main transporters of “excess” heat from the tropics to northern latitudes Gulf Stream http://earthobservatory.nasa.gov/Newsroom/NewImages/Images/gulf_stream_modis_lrg.gif 3 How fast ( in miles per hour) do you think western boundary currents like the Gulf Stream are? A 1 B 2 C 4 D 8 E More! 4 mph = C Path of ocean currents affects agriculture and habitability of regions ~62 ˚N Mean Jan Faeroe temp 40 ˚F Islands ~61˚N Mean Jan Anchorage temp 13˚F Alaska 4 Average surface water temperature (N hemisphere winter) Surface currents are driven by winds, not thermohaline processes 5 Surface currents are shallow, in the upper few hundred metres of the ocean Clockwise gyres in North Atlantic and North Pacific Anti-clockwise gyres in South Atlantic and South Pacific How long do you think it takes for a trip around the North Pacific gyre? A 6 months B 1 year C 10 years D 20 years E 50 years D= ~ 20 years 6 Maximum in surface water salinity shows the gyres excess evaporation over precipitation results in higher surface water salinity Gyres are underneath, and driven by, the bands of Trade Winds and Westerlies 7 Which wind belt is Hawaii in? A Westerlies B Trade -
Intro to Tidal Theory
Introduction to Tidal Theory Ruth Farre (BSc. Cert. Nat. Sci.) South African Navy Hydrographic Office, Private Bag X1, Tokai, 7966 1. INTRODUCTION Tides: The periodic vertical movement of water on the Earth’s Surface (Admiralty Manual of Navigation) Tides are very often neglected or taken for granted, “they are just the sea advancing and retreating once or twice a day.” The Ancient Greeks and Romans weren’t particularly concerned with the tides at all, since in the Mediterranean they are almost imperceptible. It was this ignorance of tides that led to the loss of Caesar’s war galleys on the English shores, he failed to pull them up high enough to avoid the returning tide. In the beginning tides were explained by all sorts of legends. One ascribed the tides to the breathing cycle of a giant whale. In the late 10 th century, the Arabs had already begun to relate the timing of the tides to the cycles of the moon. However a scientific explanation for the tidal phenomenon had to wait for Sir Isaac Newton and his universal theory of gravitation which was published in 1687. He described in his “ Principia Mathematica ” how the tides arose from the gravitational attraction of the moon and the sun on the earth. He also showed why there are two tides for each lunar transit, the reason why spring and neap tides occurred, why diurnal tides are largest when the moon was furthest from the plane of the equator and why the equinoxial tides are larger in general than those at the solstices. -
Ocean and Climate
Ocean currents II Wind-water interaction and drag forces Ekman transport, circular and geostrophic flow General ocean flow pattern Wind-Water surface interaction Water motion at the surface of the ocean (mixed layer) is driven by wind effects. Friction causes drag effects on the water, transferring momentum from the atmospheric winds to the ocean surface water. The drag force Wind generates vertical and horizontal motion in the water, triggering convective motion, causing turbulent mixing down to about 100m depth, which defines the isothermal mixed layer. The drag force FD on the water depends on wind velocity v: 2 FD CD Aa v CD drag coefficient dimensionless factor for wind water interaction CD 0.002, A cross sectional area depending on surface roughness, and particularly the emergence of waves! Katsushika Hokusai: The Great Wave off Kanagawa The Beaufort Scale is an empirical measure describing wind speed based on the observed sea conditions (1 knot = 0.514 m/s = 1.85 km/h)! For land and city people Bft 6 Bft 7 Bft 8 Bft 9 Bft 10 Bft 11 Bft 12 m Conversion from scale to wind velocity: v 0.836 B3/ 2 s A strong breeze of B=6 corresponds to wind speed of v=39 to 49 km/h at which long waves begin to form and white foam crests become frequent. The drag force can be calculated to: kg km m F C A v2 1200 v 45 12.5 C 0.001 D D a a m3 h s D 2 kg 2 m 2 FD 0.0011200 Am 12.5 187.5 A N or FD A 187.5 N m m3 s For a strong gale (B=12), v=35 m/s, the drag stress on the water will be: 2 kg m 2 FD / A 0.00251200 35 3675 N m m3 s kg m 1200 v 35 C 0.0025 a m3 s D Ekman transport The frictional drag force of wind with velocity v or wind stress x generating a water velocity u, is balanced by the Coriolis force, but drag decreases with depth z. -
Arxiv:1809.01376V1 [Astro-Ph.EP] 5 Sep 2018
Draft version March 9, 2021 Typeset using LATEX preprint2 style in AASTeX61 IDEALIZED WIND-DRIVEN OCEAN CIRCULATIONS ON EXOPLANETS Weiwen Ji,1 Ru Chen,2 and Jun Yang1 1Department of Atmospheric and Oceanic Sciences, School of Physics, Peking University, 100871, Beijing, China 2University of California, 92521, Los Angeles, USA ABSTRACT Motivated by the important role of the ocean in the Earth climate system, here we investigate possible scenarios of ocean circulations on exoplanets using a one-layer shallow water ocean model. Specifically, we investigate how planetary rotation rate, wind stress, fluid eddy viscosity and land structure (a closed basin vs. a reentrant channel) influence the pattern and strength of wind-driven ocean circulations. The meridional variation of the Coriolis force, arising from planetary rotation and the spheric shape of the planets, induces the western intensification of ocean circulations. Our simulations confirm that in a closed basin, changes of other factors contribute to only enhancing or weakening the ocean circulations (e.g., as wind stress decreases or fluid eddy viscosity increases, the ocean circulations weaken, and vice versa). In a reentrant channel, just as the Southern Ocean region on the Earth, the ocean pattern is characterized by zonal flows. In the quasi-linear case, the sensitivity of ocean circulations characteristics to these parameters is also interpreted using simple analytical models. This study is the preliminary step for exploring the possible ocean circulations on exoplanets, future work with multi-layer ocean models and fully coupled ocean-atmosphere models are required for studying exoplanetary climates. Keywords: astrobiology | planets and satellites: oceans | planets and satellites: terrestrial planets arXiv:1809.01376v1 [astro-ph.EP] 5 Sep 2018 Corresponding author: Jun Yang [email protected] 2 Ji, Chen and Yang 1. -
Coastal Upwelling Revisited: Ekman, Bakun, and Improved 10.1029/2018JC014187 Upwelling Indices for the U.S
Journal of Geophysical Research: Oceans RESEARCH ARTICLE Coastal Upwelling Revisited: Ekman, Bakun, and Improved 10.1029/2018JC014187 Upwelling Indices for the U.S. West Coast Key Points: Michael G. Jacox1,2 , Christopher A. Edwards3 , Elliott L. Hazen1 , and Steven J. Bograd1 • New upwelling indices are presented – for the U.S. West Coast (31 47°N) to 1NOAA Southwest Fisheries Science Center, Monterey, CA, USA, 2NOAA Earth System Research Laboratory, Boulder, CO, address shortcomings in historical 3 indices USA, University of California, Santa Cruz, CA, USA • The Coastal Upwelling Transport Index (CUTI) estimates vertical volume transport (i.e., Abstract Coastal upwelling is responsible for thriving marine ecosystems and fisheries that are upwelling/downwelling) disproportionately productive relative to their surface area, particularly in the world’s major eastern • The Biologically Effective Upwelling ’ Transport Index (BEUTI) estimates boundary upwelling systems. Along oceanic eastern boundaries, equatorward wind stress and the Earth s vertical nitrate flux rotation combine to drive a near-surface layer of water offshore, a process called Ekman transport. Similarly, positive wind stress curl drives divergence in the surface Ekman layer and consequently upwelling from Supporting Information: below, a process known as Ekman suction. In both cases, displaced water is replaced by upwelling of relatively • Supporting Information S1 nutrient-rich water from below, which stimulates the growth of microscopic phytoplankton that form the base of the marine food web. Ekman theory is foundational and underlies the calculation of upwelling indices Correspondence to: such as the “Bakun Index” that are ubiquitous in eastern boundary upwelling system studies. While generally M. G. Jacox, fi [email protected] valuable rst-order descriptions, these indices and their underlying theory provide an incomplete picture of coastal upwelling.