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.
|Titolo:||A critical analysis of multi-dimensional upwinding for the Euler equations|
|Data di pubblicazione:||1996|
|Digital Object Identifier (DOI):||10.1016/0045-7930(95)00025-9|
|Appare nelle tipologie:||1.1 Articolo in rivista|