'Vorticity equation' presentation slideshows

Richard B. Rood (Room 2525, SRB) rbrood@umich 734-647-3530 Cell: 301-526-8572

AOSS 401 Geophysical Fluid Dynamics: Atmospheric Dynamics Prepared: 20131121 Quasi-geostrophic / Analysis / Weather. Richard B. Rood (Room 2525, SRB) rbrood@umich.edu 734-647-3530 Cell: 301-526-8572. Class News. Ctools site ( AOSS 401 001 F13 ) Second Examination on December 10, 2013

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The Energy Spectrum of the Atmosphere

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AOSS 401, Fall 2006 Lecture 18 October 24 , 2007

AOSS 401, Fall 2006 Lecture 18 October 24 , 2007. Richard B. Rood (Room 2525, SRB) rbrood@umich.edu 734-647-3530 Derek Posselt (Room 2517D, SRB) dposselt@umich.edu 734-936-0502. Class News. Final exam will be last day of class

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AOSS 401, Fall 2007 Lecture 24 November 07 , 2007

AOSS 401, Fall 2007 Lecture 24 November 07 , 2007. Richard B. Rood (Room 2525, SRB) rbrood@umich.edu 734-647-3530 Derek Posselt (Room 2517D, SRB) dposselt@umich.edu 734-936-0502. Class News November 07 , 2007. Homework 6 (Posted this evening) Due Next Monday Important Dates:

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AOSS 401, Fall 2007 Lecture 22 November 02 , 2007

AOSS 401, Fall 2007 Lecture 22 November 02 , 2007. Richard B. Rood (Room 2525, SRB) rbrood@umich.edu 734-647-3530 Derek Posselt (Room 2517D, SRB) dposselt@umich.edu 734-936-0502. Class News November 02 , 2007. Homework 5 (Due Monday) Posted to web

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The vorticity equation and its applications

The vorticity equation and its applications. Felix KAPLANSKI Tallinn University of Technology feliks.kaplanski@ttu.ee Tallinn University of Technology, Estonia. Examples of vortex flows. Examples of vortex flows. Examples of vortex flows. VORTEX BREAKDOWN IN THE LABORATORY

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MSc Module MTMW14 : Numerical modelling of atmospheres and oceans

MSc Module MTMW14 : Numerical modelling of atmospheres and oceans. Modelling the Real World 2.1 Physical parameterisations 2.2 Ocean modelling. Course content. Week 1: The Basics 1.1 Introduction 1.2 Brief history of numerical weather forecasting and climate modelling

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For a rotating solid object, the vorticity is two times of its angular velocity

Vorticity. In physical oceanography, we deal mostly with the vertical component of vorticity, which is notated as. For a rotating solid object, the vorticity is two times of its angular velocity. Relative vorticity is vorticity relative to rotating earth

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For a rotating solid object, the vorticity is two times of its angular velocity

Vorticity. In physical oceanography, we deal mostly with the vertical component of vorticity, which is notated as. For a rotating solid object, the vorticity is two times of its angular velocity. Relative vorticity is vorticity relative to rotating earth

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Class Meeting Nov. 26, 2:00pm-4:45pm

Class Meeting Nov. 26, 2:00pm-4:45pm. Research I, 162. Geostrophic Approximations. Hydrostatic primitive equations Geostrophic approximation (diagnostic) In between (approximately geostrophic models) prognostic inertial-gravity waves filtered Planetary geostrophic approximation

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Class Meeting Nov. 26, 2:00pm-4:45pm

Class Meeting Nov. 26, 2:00pm-4:45pm. Research I, 162. Geostrophic Approximations. Hydrostatic primitive equations Geostrophic approximation (diagnostic) In between (approximately geostrophic models) prognostic inertial-gravity waves filtered Planetary geostrophic approximation

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Assume geostrophic balance on ? -plane approximation, i.e.,

Assume geostrophic balance on ? -plane approximation, i.e.,. ( ? is a constant). Vertically integrating the vorticity equation. barotropic. we have. The entrainment from bottom boundary layer. The entrainment from surface boundary layer. We have. where. Quasi-Geostrophic Approximation.

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Wind Driven Circulation III

Wind Driven Circulation III. Closed Gyre Circulation Quasi-Geostrophic Vorticity Equation Westward intensification Stommel Model Munk Model Inertia boundary layer Numerical results Observations. Consider the vorticity balance of an homogeneous fluid ( ? =constant) on an f-plane.

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Seth B. Dworkin, Blair C. Connelly , Beth Anne V. Bennett ,

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Dynamics

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Vortex instability and the onset of superfluid turbulence

Vortex instability and the onset of superfluid turbulence. N.B. Kopnin Low Temperature Lab., HUT, Finland, L.D. Landau Institute for Theoretical Physics, Moscow. Collaboration Experiment: M. Krusius, V. Eltsov, A. Finne, HUT L. Skrbek, Charles University, Prague Theory:

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Ekman layer at bottom

A more general form of the Sverdrup relation. Ekman layer at bottom Spatially changing sea surface height ? and bottom topography z B and pressure p B . Assume atmospheric pressure p ? ?0. Let. , . Integrating. over the vertical column, we have. Similarly. Define.

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Vorticity

Vorticity. Relative vorticity where U/R is the curvature term and -?U/?n the shear term Absolute vorticity where f is the Coriolis parameter. ? written without a subscript normally refers to ? a . Potential vorticity: ratio of absolute vorticity to depth of an air column

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