This paper provides a critical analysis and comparison of fluctuation splitting schemes applied to a linear scalar advection equation as well as to various simple wave decomposition models of the Euler equations. A theoretical analysis for the linear case and numerical experiments are presented. It is shown that compact-stencil fluctuation splitting schemes cannot provide second order accuracy either for nonhomogeneous scalar advection problems, or for general flows when combined with simple wave decompositions of the Euler equations.

A critical analysis of multi-dimensional upwinding for the Euler equations

De Palma, P.;NAPOLITANO, Michele;PASCAZIO, Giuseppe
1996-01-01

Abstract

This paper provides a critical analysis and comparison of fluctuation splitting schemes applied to a linear scalar advection equation as well as to various simple wave decomposition models of the Euler equations. A theoretical analysis for the linear case and numerical experiments are presented. It is shown that compact-stencil fluctuation splitting schemes cannot provide second order accuracy either for nonhomogeneous scalar advection problems, or for general flows when combined with simple wave decompositions of the Euler equations.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11589/5925
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