A numerical scheme for transport equations with spatially distributed coefficients based on locally exact difference method
type: Item
instance of: scholarly article
title: A numerical scheme for transport equations with spatially distributed coefficients based on locally exact difference method
zbMATH Open document ID: 0882.65067
author: Katsuhiro Sakai
author: Gen Sheng Zhang
published in: Journal of Computational Physics
publication date: 1998-03-05T00:00:00Z
review text: A numerical difference scheme to solve stationary transport equations with spatially distributed coefficients is presented. The scheme SDCLENS (spatially distributed coefficients locally exact numerical scheme) for the convection term in the transport equation is presented in which the difference coefficients are determined such that the resulting equation interpolating numerical flux satisfies any locally exact solution of the transport equation with absorption and source terms. The spatial distribution of the coefficients of the transport equation is taken into consideration based on a four-region model among three adjacent volumes in which continuity conditions of the solutions are imposed on each boundary between two adjacent regions. The SDCLENS scheme is examined through numerical experiments using the one-dimensional transport equation with spatially distributed coefficients and the two-dimensional cavity flow problem.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65N06
zbMATH DE Number: 1067829
zbMATH Keywords: numerical examples
zbMATH Keywords: spatially distributed coefficients locally exact numerical scheme
zbMATH Keywords: difference scheme
zbMATH Keywords: stationary transport equations
zbMATH Keywords: cavity flow problem
reviewed by: Pavol Chocholatý
describes a project that uses: SHASTA
MaRDI profile type: Publication
full work available at URL: jcph.1997.5711
OpenAlex ID: W2004908293
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DOI: 10.1006/JCPH.1997.5711
description: scientific article; zbMATH DE number 1067829