A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
type: Item
instance of: scholarly article
title: A new finite element formulation for computational fluid dynamics. IV: A discontinuity-capturing operator for multidimensional advective-diffusive systems
zbMATH Open document ID: 0587.76120
DOI: 10.1016/0045-7825(86)90153-2
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1986-01-01T00:00:00Z
review text: [For part I and II see the authors and \textit{L. P. Franca} ibid. 54, 223- 234 (1986; Zbl 0572.76068)] and the authors and \textit{A. Mizukami}, ibid. 54, 341-356 (1986). Part III to appear in ibid] A discontinuity-capturing operator is developed for the 'streamline' formulation of advective-diffusive systems extending previous work on the scalar advection-diffusion equation. The operator provides a mechanism for exerting control over strong gradients in the discrete solution which appear, for example, in boundary and interior layers.
Mathematics Subject Classification ID: 76N10
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76N15
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3943396
zbMATH Keywords: discontinuity-capturing operator
zbMATH Keywords: scalar advection-diffusion equation
zbMATH Keywords: strong gradients
zbMATH Keywords: discrete solution
zbMATH Keywords: boundary layers
zbMATH Keywords: entropy-variables form
zbMATH Keywords: compressible Navier-Stokes equations
zbMATH Keywords: symmetric incompletely parabolic systems
zbMATH Keywords: interior layers
author: T. J. R. Hughes
author: Michel Mallet
MaRDI profile type: Publication
full work available at URL: 0045-7825(86)90153-2
OpenAlex ID: W1994125095
cites work: A rotationally biased upwind difference scheme for the Euler equations
cites work: A new finite element formulation for computational fluid dynamics. I: Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
cites work: A new finite element formulation for computational fluid dynamics. III: The generalized streamline operator for multidimensional advective- diffusive systems
cites work: A new finite element formulation for computational fluid dynamics. II. Beyond SUPG
description: scientific article; zbMATH DE number 3943396