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A non-hydrostatic non-Boussinesq algorithm for free-surface ocean modelling

Abstract : A three-mode time-split algorithm is proposed to simulate non-hydrostatic ocean processes in a natural way: fast pressure adjustments via acoustic waves are explicitly represented. The full set of compressible Navier-Stokes equations is integrated for a free-surface ocean with three time-steps respectively associated to the internal, external and compressible (non Boussinesq) modes. The resulting three-mode algorithm can be implemented either in a fully compressible configuration or in a "pseudo-compressible" configuration by artificially lowering acoustic-wave velocities to reduce computational costs. The present description of the three-mode algorithm focuses in the first place on the simulation of non-hydrostatic processes in free-surface ocean models. Several test simulations related to linear and non-linear acoustic, surface and internal gravity waves are studied in details with the proposed three-mode algorithm.
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https://hal.univ-lorraine.fr/hal-01914770
Contributor : Yvan Dossmann <>
Submitted on : Wednesday, November 7, 2018 - 10:37:26 AM
Last modification on : Friday, April 30, 2021 - 3:26:25 AM

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F. Auclair, L. Bordois, Yvan Dossmann, T. Duhaut, A. Paci, et al.. A non-hydrostatic non-Boussinesq algorithm for free-surface ocean modelling. Ocean Modelling, Elsevier, 2018, 132, pp.12 - 29. ⟨10.1016/j.ocemod.2018.07.011⟩. ⟨hal-01914770⟩

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