Physical Oceanography
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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. -
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. -
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. -
Geostrophic Current Component Perpendicular to the Line Connecting a Station Pair - (Indirectly Measuring Current)
ATOC 5051 INTRODUCTION TO PHYSICAL OCEANOGRAPHY Lecture 5 Learning objectives: (1)Know the modern ocean observing system that integrates in situ observations and remote sensing from space (satellite) (2) What is indirect method, why is it necessary, and how does it work? 1. Integrated observing system; 2. Indirect current measurement and application 1. Integrated observing system http://www.pmel.noaa.gov The Pacific TRITON (Triangle Trans-Ocean Buoy Network) TRITON array: east Indian & west Pacific (Japan) TAO Buoy and ship TAO/TRITON buoy data Moored buoy. Example: TAO/TRITON Moored buoy; Tropical Atmosphere Ocean (TAO); TRIangle Trans-Ocean buoy TRITON buoy Network (TRITON). https://www.pmel.noaa.gov/tao/drupal/ani/ ATLAS (Autonomous Temperature Line Acquisition System) Data: https://www.pmel.noaa.gov/tao/dru pal/ani/ The Research Moored Array for African-Asian-Australian Monsoon Analysis and Prediction (RAMA) initiated in ~2004; until march 2019: 90% complete 2011: CINDY/ DYNAMO In-situ: Calibrate Satellite data Piracy Current & future planned IndOOS maps Prioritized actionable recommendations: for next decade (46-33) Prediction and Research Moored Array in the Atlantic (PIRATA) Argo floats T,S PROFILE & CURRENTS AT INTERMEDIATE DEPTH http://www.argo.ucsd.edu/ Pop-up floats: ~10-days pop up, transmit data to ARGO satellite (~6hours up/down); on the way, collect T and S profile (0~2000m); (Surface: 6~12hours) currents at ~1000m (float drift-parking depth; then dive down to 2000m for T&S Profiling). Life cycles; ~150 repeated cycles. ARGO Floats (each 20-30kg) Argo floats T,S PROFILE & CURRENTS AT INTERMEDIATE DEPTH Float distribution as on August 30, 2019 • Gliders (mount sensors, e.g., ADCP); • Propel themselves by changing buoyancy; • Measure current, T, S, dissolved O2, etc.) from deeper ocean to surface; Good for measuring coastal ocean circulation. -
Oceanography 200, Spring 2008 Armbrust/Strickland Study Guide Exam 1
Oceanography 200, Spring 2008 Armbrust/Strickland Study Guide Exam 1 Geography of Earth & Oceans Latitude & longitude Properties of Water Structure of water molecule: polarity, hydrogen bonds, effects on water as a solvent and on freezing Latent heat of fusion & vaporization & physical explanation Effects of latent heat on heat transport between ocean & atmosphere & within atmosphere Definition of density, density of ice vs. water Physical meaning of temperature & heat Heat capacity of water & why water requires a lot of heat gain or loss to change temperature Effects of heating & cooling on density of water, and physical explanation Difference in albedo of ice/snow vs. water, and effects on Earth temperature Properties of Seawater Definitions of salinity, conservative & non-conservative seawater constituents, density (sigma-t) Average ocean salinity & how it is measured 3 technology systems for monitoring ocean salinity and other properties 6 most abundant constituents of seawater & Principle of Constant Proportions Effects of freezing on seawater Effects of temperature & salinity on density, T-S diagram Processes that increase & decrease salinity & temperature and where they occur Generalized depth profiles of temperature, salinity, density & ocean stratification & stability Generalized depth profiles of O2 & CO2 and processes determining these profiles Forms of dissolved inorganic carbon in seawater and their buffering effect on pH of seawater Water Properties and Climate Change 2 main causes of global sea level rise, 2 main causes of local sea level rise Physical properties of water that affect sea level rise Icebergs & sea ice: Differences in sources, and effects of freezing & melting on sea level How heat content of upper ocean & Arctic sea ice extent have changed since about 1970s Invasion of fossil fuel CO2 in the oceans and effects on pH The Sea Floor & Plate Tectonics General differences in rock type & density of oceanic vs. -
Oceanography Lecture 12
Because, OF ALL THE ICE!!! Oceanography Lecture 12 How do you know there’s an Ice Age? i. The Ocean/Atmosphere coupling ii.Surface Ocean Circulation Global Circulation Patterns: Atmosphere-Ocean “coupling” 3) Atmosphere-Ocean “coupling” Atmosphere – Transfer of moisture to the Low latitudes: Oceans atmosphere (heat released in higher latitudes High latitudes: Atmosphere as water condenses!) Atmosphere-Ocean “coupling” In summary Latitudinal Differences in Energy Atmosphere – Transfer of moisture to the atmosphere: Hurricanes! www.weather.com Amount of solar radiation received annually at the Earth’s surface Latitudinal Differences in Salinity Latitudinal Differences in Density Structure of the Oceans Heavy Light T has a much greater impact than S on Density! Atmospheric – Wind patterns Atmospheric – Wind patterns January January Westerlies Easterlies Easterlies Westerlies High/Low Pressure systems: Heat capacity! High/Low Pressure systems: Wind generation Wind drag Zonal Wind Flow Wind is moving air Air molecules drag water molecules across sea surface (remember waves generation?): frictional drag Westerlies If winds are prolonged, the frictional drag generates a current Easterlies Only a small fraction of the wind energy is transferred to Easterlies the water surface Westerlies Any wind blowing in a regular pattern? High/Low Pressure systems: Wind generation by flow from High to Low pressure systems (+ Coriolis effect) 1) Ekman Spiral 1) Ekman Spiral Once the surface film of water molecules is set in motion, they exert a Spiraling current in which speed and direction change with frictional drag on the water molecules immediately beneath them, depth: getting these to move as well. Net transport (average of all transport) is 90° to right Motion is transferred downward into the water column (North Hemisphere) or left (Southern Hemisphere) of the ! Speed diminishes with depth (friction) generating wind. -
Tidal and Wind-Driven Currents from Oscr
FEATURE TIDAL AND WIND-DRIVEN CURRENTS FROM OSCR By David Prandle TWO IMPORTANTASPECTS of tidal currents are (1) be seen by comparing calculations of M, tidal vor- their temporal coherence and (2) their constancy ticity distributions <OV/OX- c?U/OY> from OSCR (over centuries). The first rigorous evaluation of an measurements with corresponding model calcula- Ocean Surface Current Radar (OSCR) system ex- tions (Prandle 1987). ploited these characteristics using sequential de- Tidal Residuals ployments of the one available unit with subse- The propagation of tidal energy from the quent combination of radial components to ocean into shelf seas produces an attendant net construct tidal ellipses (Prandle and Ryder 1985). residual current Uo of 0.5(OUD)cos 0 (0, oscil- Specifications for Tidal Mapping lating current amplitude; c, elevation amplitude: The Rayleigh criterion for separation of closely D, water depth: O, phase difference between lJ spaced constituents in tidal analysis suggests ob- and {). In U.K. waters Uo is typically 0-3 cm s ' servational periods exceeding the related beat fre- compared with 0 of 40-100 cm s ', thus conven- • . enhanced reso- quency, this dictates 15 d of observations to sepa- tional current meters often fail to resolve U~,. lution of the instru- rate the two largest constituents M~ and St. For Moreover, numerical models that accurately sim- tidal elevations this criterion is often relaxed: ulate M z may not resolve U,, with the same accu- mentation reveals however, while elevations show a noise:tidal sig- racy. Year-long deployments of OSCR, in the finer scale dynamical nal ratio of 0(0.1-0.2), the same ratio for currents Dover Straits (Prandle et al., 1993) and the North is 0(0.5). -
Physical Oceanography - UNAM, Mexico Lecture 3: the Wind-Driven Oceanic Circulation
Physical Oceanography - UNAM, Mexico Lecture 3: The Wind-Driven Oceanic Circulation Robin Waldman October 17th 2018 A first taste... Many large-scale circulation features are wind-forced ! Outline The Ekman currents and Sverdrup balance The western intensification of gyres The Southern Ocean circulation The Tropical circulation Outline The Ekman currents and Sverdrup balance The western intensification of gyres The Southern Ocean circulation The Tropical circulation Ekman currents Introduction : I First quantitative theory relating the winds and ocean circulation. I Can be deduced by applying a dimensional analysis to the horizontal momentum equations within the surface layer. The resulting balance is geostrophic plus Ekman : I geostrophic : Coriolis and pressure force I Ekman : Coriolis and vertical turbulent momentum fluxes modelled as diffusivities. Ekman currents Ekman’s hypotheses : I The ocean is infinitely large and wide, so that interactions with topography can be neglected ; ¶uh I It has reached a steady state, so that the Eulerian derivative ¶t = 0 ; I It is homogeneous horizontally, so that (uh:r)uh = 0, ¶uh rh:(khurh)uh = 0 and by continuity w = 0 hence w ¶z = 0 ; I Its density is constant, which has the same consequence as the Boussinesq hypotheses for the horizontal momentum equations ; I The vertical eddy diffusivity kzu is constant. ¶ 2u f k × u = k E E zu ¶z2 that is : k ¶ 2v u = zu E E f ¶z2 k ¶ 2u v = − zu E E f ¶z2 Ekman currents Ekman balance : k ¶ 2v u = zu E E f ¶z2 k ¶ 2u v = − zu E E f ¶z2 Ekman currents Ekman balance : ¶ 2u f k × u = k E E zu ¶z2 that is : Ekman currents Ekman balance : ¶ 2u f k × u = k E E zu ¶z2 that is : k ¶ 2v u = zu E E f ¶z2 k ¶ 2u v = − zu E E f ¶z2 ¶uh τ = r0kzu ¶z 0 with τ the surface wind stress. -
Structure and Transport of the North Atlantic Current in the Eastern
Journal of Geophysical Research: Oceans RESEARCH ARTICLE Structure and Transport of the North Atlantic Current 10.1029/2018JC014162 in the Eastern Subpolar Gyre From Sustained Key Points: Glider Observations • Two branches of the North Atlantic Current (named the Hatton Bank Jet 1 1 1 1 1 1 2 and the Rockall Bank Jet) are revealed L. Houpert , M. E. Inall , E. Dumont , S. Gary , C. Johnson , M. Porter , W. E. Johns , by repeated glider sections and S. A. Cunningham1 • Around 6.3+/-2.1 Sv is carried by the Hatton Bank Jet in summer, 1Scottish Association for Marine Science, Oban, UK, 2Rosenstiel School of Marine and Atmospheric Science, Miami, FL, USA about 40% of the upper-ocean transport by the North Atlantic Current across 59.5N • Thirty percent of the Hatton Bank Abstract Repeat glider sections obtained during 2014–2016, as part of the Overturning in the Subpolar Jet transport is due to the vertical North Atlantic Program, are used to quantify the circulation and transport of North Atlantic Current (NAC) geostrophic shear while the branches over the Rockall Plateau. Using 16 glider sections collected along 58∘N and between 21∘W Hatton-Rockall Basin currents are ∘ mostly barotropic and 15 W, absolute geostrophic velocities are calculated, and subsequently the horizontal and vertical structure of the transport are characterized. The annual mean northward transport (± standard deviation) Correspondence to: is 5.1 ± 3.2 Sv over the Rockall Plateau. During summer (May to October), the mean northward transport is L. Houpert, stronger and reaches 6.7 ± 2.6 Sv. This accounts for 43% of the total NAC transport of upper-ocean waters [email protected] < . -
Lecture 4: OCEANS (Outline)
LectureLecture 44 :: OCEANSOCEANS (Outline)(Outline) Basic Structures and Dynamics Ekman transport Geostrophic currents Surface Ocean Circulation Subtropicl gyre Boundary current Deep Ocean Circulation Thermohaline conveyor belt ESS200A Prof. Jin -Yi Yu BasicBasic OceanOcean StructuresStructures Warm up by sunlight! Upper Ocean (~100 m) Shallow, warm upper layer where light is abundant and where most marine life can be found. Deep Ocean Cold, dark, deep ocean where plenty supplies of nutrients and carbon exist. ESS200A No sunlight! Prof. Jin -Yi Yu BasicBasic OceanOcean CurrentCurrent SystemsSystems Upper Ocean surface circulation Deep Ocean deep ocean circulation ESS200A (from “Is The Temperature Rising?”) Prof. Jin -Yi Yu TheThe StateState ofof OceansOceans Temperature warm on the upper ocean, cold in the deeper ocean. Salinity variations determined by evaporation, precipitation, sea-ice formation and melt, and river runoff. Density small in the upper ocean, large in the deeper ocean. ESS200A Prof. Jin -Yi Yu PotentialPotential TemperatureTemperature Potential temperature is very close to temperature in the ocean. The average temperature of the world ocean is about 3.6°C. ESS200A (from Global Physical Climatology ) Prof. Jin -Yi Yu SalinitySalinity E < P Sea-ice formation and melting E > P Salinity is the mass of dissolved salts in a kilogram of seawater. Unit: ‰ (part per thousand; per mil). The average salinity of the world ocean is 34.7‰. Four major factors that affect salinity: evaporation, precipitation, inflow of river water, and sea-ice formation and melting. (from Global Physical Climatology ) ESS200A Prof. Jin -Yi Yu Low density due to absorption of solar energy near the surface. DensityDensity Seawater is almost incompressible, so the density of seawater is always very close to 1000 kg/m 3. -
Ocean Surface Circulation
Ocean surface circulation Recall from Last Time The three drivers of atmospheric circulation we discussed: • Differential heating • Pressure gradients • Earth’s rotation (Coriolis) Last two show up as direct forcing of ocean surface circulation, the first indirectly (it drives the winds, also transport of heat is an important consequence). Coriolis In northern hemisphere wind or currents deflect to the right. Equator In the Southern hemisphere they deflect to the left. Major surfaceA schematic currents of them anyway Surface salinity A reasonable indicator of the gyres 31.0 30.0 32.0 31.0 31.030.0 33.0 33.0 28.0 28.029.0 29.0 34.0 35.0 33.0 33.0 33.034.035.0 36.0 34.0 35.0 37.0 35.036.0 36.0 34.0 35.0 35.0 35.0 34.0 35.0 37.0 35.0 36.0 36.0 35.0 35.0 35.0 34.0 34.0 34.0 34.0 34.0 34.0 Ocean Gyres Surface currents are shallow (a few hundred meters thick) Driving factors • Wind friction on surface of the ocean • Coriolis effect • Gravity (Pressure gradient force) • Shape of the ocean basins Surface currents Driven by Wind Gyres are beneath and driven by the wind bands . Most of wind energy in Trade wind or Westerlies Again with the rotating Earth: is a major factor in ocean and Coriolisatmospheric circulation. • It is negligible on small scales. • Varies with latitude. Ekman spiral Consider the ocean as a Wind series of thin layers. Friction Direction of Wind friction pushes on motion the top layers.