Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
type: Item
instance of: scholarly article
title: Multidimensional slope limiters for MUSCL-type finite volume schemes on unstructured grids
zbMATH Open document ID: 0934.65109
published in: Journal of Computational Physics
publication date: 2000-01-05T00:00:00Z
review text: The improvement of existing limiters in MUSCL-type numerical methods for the numerical solution of two-dimensional hyperbolic conservation laws is the central theme of the present paper. The framework of MUSCL-type schemes on triangular grids is exploited. Local constraints on the linear reconstruction of the solution are imposed so that an appropriate maximum principle is satisfied. This opens way to the development of new MUSCL-type schemes. Numerical results are given for a scalar problem as well as for the shallow water equation.
reviewed by: Thomas Sonar
Mathematics Subject Classification ID: 65M60
Mathematics Subject Classification ID: 76M20
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 1384970
zbMATH Keywords: slope limiters
zbMATH Keywords: MUSCL-type finite volume schemes
zbMATH Keywords: unstructured grids
zbMATH Keywords: conservative difference schemes
zbMATH Keywords: numerical examples
zbMATH Keywords: hyperbolic conservation laws
zbMATH Keywords: shallow water equation
author: Matthew E. Hubbard
MaRDI profile type: Publication
full work available at URL: jcph.1999.6329
OpenAlex ID: W2041225496
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DOI: 10.1006/JCPH.1999.6329
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description: scientific article; zbMATH DE number 1384970