Refinement Indicator for Mesh Adaption in Shallow-Water Modeling

Automatic mesh refinement can create suitable resolution for a hydrodynamic simulation in a computationally efficient manner. Development of an automatic adaptive procedure will rely on estimating and/or controlling computational error by adapting the mesh parameters with respect to a particular mea...

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Bibliographic Details
Published inJournal of hydraulic engineering (New York, N.Y.) Vol. 132; no. 8; pp. 854 - 857
Main Authors Tate, Jennifer N, Berger, R C, Stockstill, Richard L
Format Journal Article
LanguageEnglish
Published 01.08.2006
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Summary:Automatic mesh refinement can create suitable resolution for a hydrodynamic simulation in a computationally efficient manner. Development of an automatic adaptive procedure will rely on estimating and/or controlling computational error by adapting the mesh parameters with respect to a particular measurement. Since a primary source of error in a discrete approximation of the shallow-water equations is inadequate mesh resolution, an adaptive mesh can be an efficient approach to increase accuracy. This paper introduces a simple indicator for the shallow water equations that measures the error in a norm of mass conservation to determine which elements require refinement or coarsening. The resulting adaptive grid gives results comparable to a much higher resolution (uniformly refined) mesh with less computational expense.
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ISSN:0733-9429
DOI:10.1061/(cE)0733-9429(2006)132:8(854)