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Inviscid Dissipation Catalyzed by Topography

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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Inviscid Dissipation Catalyzed by Topography

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  1. 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

  2. Global Ocean SST

  3. 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?

  4. Numerical Evidence in Support An ultra-fine embedded solution for Monterey Bay

  5. (Simpler) Numerical Evidence in Support

  6. Temperature at western wall

  7. 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.

  8. 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.

  9. Theory of Wall Interactions EOMs in density coordinates

  10. At the wall, normal flow vanishes and consider inviscid, adiabatic flow u=0

  11. Decompose v into geostrophic imprint and wall response SETEICST Hydrostatic?

  12. Solutions: MITgcm Anticyclone/Cyclone Asymmetry captured, as are amplitudes, density overturnings, rates of development

  13. Asymmetry? V

  14. Source of Instability? • Linearize and Instability is not baroclinic

  15. Source of Instability? • Linearize and V Y

  16. What does nonlinearity do? go to reduced gravity frame !

  17. Temperature at western wall

  18. 4. How fast does the shock go? cs

  19. Non-hydrostatic dynamics arrest the shock

  20. (Simpler) Numerical Evidence in Support

  21. 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

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