Computational modelling of severe gradients with mass operator constructions
type: Item
instance of: scholarly article
title: Computational modelling of severe gradients with mass operator constructions
zbMATH Open document ID: 0647.76022
DOI: 10.1016/0898-1221(88)90022-3
author: Clive A. J. Fletcher
publication date: 1988-01-01T00:00:00Z
review text: A generalized mass operator construction is developed from the Galerkin finite element method and used to compute problems with severe internal gradients as simple models for the frontal process. The generalized mass operator construction is compared with four-point upwind differencing of the advective terms. When combined with Crank-Nicolson time differencing both schemes provide optimal choices for generating accurate solutions with severe gradients, primarily by controlling dispersion errors. For very severe gradients the generalized mass operator construction produces more accurate solutions. For severe internal gradients controlled by nonlinear advection it is necessary to supplement the optimal mass operator scheme with a flux-based numerical dissipation incorporating an internal limiter.
Mathematics Subject Classification ID: 76B60
Mathematics Subject Classification ID: 65Z05
Mathematics Subject Classification ID: 76M99
Mathematics Subject Classification ID: 86A99
Mathematics Subject Classification ID: 86A10
zbMATH DE Number: 4057177
zbMATH Keywords: generalized mass operator
zbMATH Keywords: Galerkin finite element method
zbMATH Keywords: four-point upwind differencing
zbMATH Keywords: Crank-Nicolson time differencing
zbMATH Keywords: flux-based numerical dissipation
zbMATH Keywords: internal limiter
describes a project that uses: SHASTA
MaRDI profile type: Publication
full work available at URL: 0898-1221(88)90022-3
OpenAlex ID: W2017784773
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4057177