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 / Catalano, L. A.; De Palma, P.; Napolitano, Michele; Pascazio, Giuseppe. - In: COMPUTERS & FLUIDS. - ISSN 0045-7930. - 25:1(1996), pp. 29-38. [10.1016/0045-7930(95)00025-9]
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
