Nonlinear Processes in Geophysics
Nonlinear Processes in Geophysics
NPG
Articles | Volume 32, issue 3
Articles | Volume 32, issue 3
https://doi.org/10.5194/npg-32-261-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/npg-32-261-2025
© Author(s) 2025. This work is distributed under
the Creative Commons Attribution 4.0 License.
Articles | Volume 32, issue 3
Research article
 | 
25 Jul 2025
Research article |  | 25 Jul 2025

On the hydrostatic approximation in rotating stratified flow

Achim Wirth

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Cited articles

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Auclair, F., Bordois, L., Dossmann, Y., Duhaut, T., Paci, A., Ulses, C., and Nguyen, C.: A non-hydrostatic non-Boussinesq algorithm for free-surface ocean modelling, Ocean Model., 132, 12–29, 2018. a, b
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Blayo, E. and Rousseau, A.: About interface conditions for coupling hydrostatic and nonhydrostatic Navier–Stokes flows, Discret. Contin. Dyn.-S., 9, 1565–1574, 2016. a
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The hydrostatic approximation is the basis of most simulations of ocean and climate dynamics. It is evaluated here by using a projection method in the 4D Fourier space. The evaluation is analytic.
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