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Inviscid Dissipation Catalyzed by Topography

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Inviscid Dissipation Catalyzed by Topography. INI, Oct. 18, 2010. WK Dewar FSU. Collaborators: Prof. P. Berloff, Prof. A. Mc. Hogg, Prof. JC McWilliams. Work offered in the memory of PD Killworth. Global Ocean SST. An analysis of ocean power, after Wunsch and Ferrari, 2004.

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slide1

Inviscid Dissipation Catalyzed by Topography

INI, Oct. 18, 2010

WK Dewar

FSU

Collaborators: Prof. P. Berloff, Prof. A. Mc. Hogg, Prof. JC McWilliams

Work offered in the memory of PD Killworth

slide3

An analysis of ocean power, after Wunsch and Ferrari, 2004.

And there is a related potential vorticity budget question.

Connection to theme

of School: Are these

processes that can be

represented as a stochastic process?

slide4

Numerical Evidence in Support

An ultra-fine embedded solution for Monterey Bay

slide5

(Simpler)

Numerical

Evidence in

Support

slide7

Next obvious question

Experiment used vertical walls, which don’t exist, really, in the open ocean.

What happens for, say, a seamount.

Some danger here, as topography is difficult to represent numerically.

slide10

Summary:

Something very interesting happens at topography when balanced flow interactions with it.

Question:

What the hell is it?

Focus of the rest of the talk.

slide11

Theory of Wall Interactions

EOMs in density coordinates

slide12

At the wall, normal flow vanishes

and consider inviscid, adiabatic flow

u=0

slide14

Solutions:

MITgcm

Anticyclone/Cyclone Asymmetry captured, as are amplitudes, density overturnings, rates of development

slide16

Source of Instability?

  • Linearize and

Instability is not baroclinic

slide17

Source of Instability?

  • Linearize and

V

Y

slide18

What does nonlinearity do?

go to reduced gravity frame

!

slide22

(Simpler)

Numerical

Evidence in

Support

slide23

Summary and to do list

  • Simple, surprisingly accurate local theory for wall interactions can be written
    • predict anisotropy
    • steepening and breaking
    • can be parameterized
    • stochastic parameterization?
  • Extend this to non-wall topography?
  • (Yes?)
  • Introduce into models to control boundary dissipation