Imperial College London
Alternate

ProfessorDarrylHolm

Faculty of Natural Sciences, Department of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8531d.holm Website

 
 
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Location

 

6M27Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Holm:2021:10.1063/5.0040026,
author = {Holm, D and Luesink, E and Pan, W},
doi = {10.1063/5.0040026},
journal = {Physics of Fluids},
pages = {1--22},
title = {Stochastic mesoscale circulation dynamics in the thermal ocean},
url = {http://dx.doi.org/10.1063/5.0040026},
volume = {33},
year = {2021}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - In analogy with similar effects in adiabatic compressible fluid dynamics, the effects of buoyancy gradients on incompressible stratified flows are said to be “thermal.” The thermal rotating shallow water (TRSW) model equations contain three small nondimensional parameters. These are the Rossby number, the Froude number, and the buoyancy parameter. Asymptotic expansion of the TRSW model equations in these three small parameters leads to the deterministic thermal versions of the Salmon’s L1 (TL1) model and the thermal quasi-geostrophic (TQG) model, upon expanding in the neighborhood of thermal quasi-geostrophic balance among the flow velocity and the gradients of free surface elevation and buoyancy. The linear instability of TQG at high wavenumber tends to create circulation at small scales. Such a high- wavenumber instability could be unresolvable in many computational simulations, but its presence at small scales may contribute signifi- cantly to fluid transport at resolvable scales. Sometimes, such effects are modeled via “stochastic backscatter of kinetic energy.” Here, we try another approach. Namely, we model “stochastic transport” in the hierarchy of models TRSW/TL1/TQG. The models are derived via the approach of stochastic advection by Lie transport (SALT) as obtained from a recently introduced stochastic version of the Euler–Poincare var- iational principle. We also indicate the potential next steps for applying these models in uncertainty quantification and data assimilation of the rapid, high-wavenumber effects of buoyancy fronts at these three levels of description by using the data-driven stochastic parametrization algorithms derived previously using the SALT approach.
AU  - Holm,D
AU  - Luesink,E
AU  - Pan,W
DO  - 10.1063/5.0040026
EP  - 22
PY  - 2021///
SN  - 1070-6631
SP  - 1
TI  - Stochastic mesoscale circulation dynamics in the thermal ocean
T2  - Physics of Fluids
UR  - http://dx.doi.org/10.1063/5.0040026
UR  - https://aip.scitation.org/doi/10.1063/5.0040026
UR  - http://hdl.handle.net/10044/1/87890
VL  - 33
ER  -
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