Accurate discretization of gradients on non-uniform curvilinear staggered grids
type: Item
instance of: scholarly article
title: Accurate discretization of gradients on non-uniform curvilinear staggered grids
zbMATH Open document ID: 0829.76067
author: Yanyan Li
published in: Journal of Computational Physics
publication date: 1996-01-17T00:00:00Z
review text: The Navier-Stokes equations for incompressible flow are simplified to a considerable extent by keeping only the inertia and pressure terms. These equations can be further reduced to a form which plays a dominant role in the theory of porous media and is referred to as interface problem. The discretization of the reduced form of the Navier-Stokes equations and the interface problem have already been dealt in the literature. The present paper provides a theoretical derivation of the best scheme of discretization available in an earlier work of \textit{R. S. Bernard} and \textit{H. Kapitza} [J. Comput. Phys. 99, 288-298 (1992; Zbl 0743.76053)]. The scheme is proved to be exact for pressure gradient constant on arbitrary grids. Direction for the generalization to three dimensions is also indicated.
reviewed by: S. C. Rajvanshi
Mathematics Subject Classification ID: 76M25
Mathematics Subject Classification ID: 76D05
zbMATH DE Number: 758609
zbMATH Keywords: inertia and pressure terms
zbMATH Keywords: interface problem
zbMATH Keywords: pressure gradient
MaRDI profile type: Publication
OpenAlex ID: W2133616012
DOI: 10.1006/JCPH.1995.1072
description: scientific article; zbMATH DE number 758609