Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

The Hydrostatic Approximation of Compressible Anisotropic Navier-Stokes Equations
H. Gao, Š. Nečasová, T. Tang
Abstract:
The aim of the paper is to give a rigorous derivation of the hydrostatic approximation by taking the small aspect ratio limit to the Navier-Stokes equations. The aspect ratio (the ratio of the depth to horizontal width) is a geometrical constraint in the general large scale geophysical motions meaning that the vertical scale is signi cantly smaller than horizontal.
Keywords:
anisotropic Naiver-Stokes equations, aspect ratio limit, hydrostatic approximation, compressible Primitive Equations

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2022.009

In Proceedings Topical Problems of Fluid Mechanics 2022, Prague, 2022, Edited by David Šimurda and Tomáš Bodnár , pp. 59-64 ISBN 978-80-87012-77-2 (Print) ISSN 2336-5781 (Print)