Finite volume methods for convection-diffusion problems
type: Item
instance of: scholarly article
title: Finite volume methods for convection-diffusion problems
zbMATH Open document ID: 0862.65062
DOI: 10.1016/0377-0427(95)00056-9
author: Martin Stynes
published in: Journal of Computational and Applied Mathematics
publication date: 1997-05-25T00:00:00Z
review text: The paper is a short overview of the nature of one- and two-dimensional convection-diffusion problems and of the use of finite volume methods (FVM) (cell-center (CCM) and cell-vertex (CVM)) in their solution. The advantages and disadvantages of FVM are discussed. The author presents his arguments to answer of the question: CCM or CVM, comparing the two finite volume variants in several ways: is the number of unknows equal to the number of equations; how compact are the schemes; sensitivity to the mesh deformation; parasitic modes and stability.
reviewed by: Krassimir Georgiev
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65-02
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 903491
zbMATH Keywords: research survey
zbMATH Keywords: convection-diffusion problems
zbMATH Keywords: finite volume methods
zbMATH Keywords: sensitivity
zbMATH Keywords: mesh deformation
zbMATH Keywords: parasitic modes
zbMATH Keywords: stability
describes a project that uses: Wesseling
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00056-9
OpenAlex ID: W2018262455
cites work: Q3994335
cites work: Q3994952
cites work: Finite Volume Solutions of Convection-Diffusion Test Problems
cites work: An analysis of the cell vertex method
cites work: Analysis of a cell-vertex finite volume method for convection-diffusion problems
cites work: Robust Numerical Methods for Singularly Perturbed Differential Equations
cites work: Methods of constructing grid approximations for singularly perturbed boundary-value problems. Condensing-grid methods
cites work: Q4004051
description: scientific article; zbMATH DE number 903491