ON CONSERVATION AT GRID INTERFACES.

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Abstract

This paper considers the solution of hyperbolic systems of conservation laws on discontinuous girds. In particular, we consider what happens to conservation at grid interfaces. A procedure is presented to derive conservative difference approximations at the grid interfaces for two-dimensional grids which overlap in an arbitrary configuration. The same procedures are applied to compute interface formulas for grids which are refined in space and/or time, and for continuous grids where a switch in the scheme causes the discontinuity. The results are applicable to certain problems involving shock waves.

Original languageEnglish (US)
Pages (from-to)967-984
Number of pages18
JournalSIAM Journal on Numerical Analysis
Volume24
Issue number5
Publication statusPublished - Oct 1987

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ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics
  • Computational Mathematics

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