Assessment of finite difference approximations for the advection terms in the simulation of practical flow problems
type: Item
instance of: scholarly article
title: Assessment of finite difference approximations for the advection terms in the simulation of practical flow problems
zbMATH Open document ID: 0638.76081
DOI: 10.1016/0021-9991(88)90074-5
author: M. A. R. Sharif
author: Ahmed A. Busnaina
published in: Journal of Computational Physics
publication date: 1988-01-01T00:00:00Z
review text: An assessment of seven discretization schemes for the advection terms of the transport equation to reduce numerical diffusion in practical flow problems has been established. The schemes have been evaluated using three test cases for laminar flow problems. The test cases consist of the transport of a scalar step in a uniform velocity field, two interacting parallel streams, and a slot jet. The performance of the schemes is evaluated for advection-dominated flows in transient and steady-state solutions. The considered schemes include four that have not been evaluated before for practical flow problems. In general, schemes which produced less numerical diffusion suffered from more numerical dispersion or oscillations. Two bounding techniques considered in the study were effective in significantly elliminating numerical dispersion.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 76M99
zbMATH DE Number: 4041498
zbMATH Keywords: discretization schemes
zbMATH Keywords: transport equation
zbMATH Keywords: numerical diffusion
zbMATH Keywords: laminar flow problems
zbMATH Keywords: interacting parallel streams
zbMATH Keywords: slot jet
zbMATH Keywords: advection- dominated flows
zbMATH Keywords: steady-state solutions
zbMATH Keywords: numerical dispersion
zbMATH Keywords: oscillations
zbMATH Keywords: bounding techniques
MaRDI profile type: Publication
full work available at URL: 0021-9991(88)90074-5
OpenAlex ID: W2051027458
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description: scientific article; zbMATH DE number 4041498