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Application of a solution-adaptive multigrid method to the Euler equations

van der H.T.M. Maarel, Piet Hemker, Barry Koren, Jess Michelsen

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Abstract

A locally refined multigrid method for solving the steady Euler equations of gas dynamics is presented. The method makes use of grids in a locally nested sequence. It is briefly described and next applied to some steady Euler flow problems. The method appears to be more accurate and more efficient than the corresponding multigrid method that applies global refinements only.

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What this paper is about

A locally refined multigrid method for solving the steady Euler equations of gas dynamics is presented. The method makes use of grids in a locally nested sequence. It is briefly described and next applied to some steady Euler flow problems. The method appears to be more accurate and more efficient than the corresponding multigrid method that applies global refinements only.

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Available abstract

A locally refined multigrid method for solving the steady Euler equations of gas dynamics is presented. The method makes use of grids in a locally nested sequence. It is briefly described and next applied to some steady Euler flow problems. The method appears to be more accurate and more efficient than the corresponding multigrid method that applies global refinements only.

Key concepts: Multigrid method, Euler equations, Euler's formula, Semi-implicit Euler method, Backward Euler method, Euler method, Applied mathematics, Computer science

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