Numerical experiments with hydrostatic approximation for Navier-Stokes equations in the frame of the projection method
type: Item
instance of: scholarly article
zbMATH Open document ID: 1055.76534
author: Oleg B. Bocharov
author: T. È. Ovchinnikova
publication date: 2001-12-13T00:00:00Z
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 1682182
zbMATH Keywords: projection algorithm by Chorin-Timukhin
zbMATH Keywords: hydro-thermal model
MaRDI profile type: Publication
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title: Numerical experiments with hydrostatic approximation for Navier-Stokes equations in the frame of the projection method
published in: Dinamika Sploshnoĭ Sredy
review text: Problems of numerical simulation of flows of a viscous incompressible stratified liquid in deep reservoirs are under study. Hydrostatic approximation of Navier--Stokes equations usually gives good results in such problems. Nevertheless, it is supposed that, for more precise description of processes in the regions of water elevation and sink, it is necessary to use the complete model. The authors propose an approach which makes it possible, in the frame of projection method proposed by Chorin--Timukhin for the complete two-dimensional hydrodynamic model, to switch to the hydrostatic approximation without change of the numerical algorithm.
description: scientific article; zbMATH DE number 1682182