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Energy Stability of the MUSCL Scheme
Conference proceeding

Energy Stability of the MUSCL Scheme

Qaisar Abbas, Edwin van der Weide and Jan Nordstrom
NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS 2009, pp.61-68
01/01/2010

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We analyze the energy stability of the standard MUSCL scheme. The analysis is possible by reformulating the MUSCL scheme in the framework of summation-by-parts (SBP) operators including an artificial dissipation. The effect of different slope limiters is studied. It is found that all the slope limiters do not lead to the correct sign of the entries in the dissipation matrix. The implication of that is discussed. The analysis is done for both linear and nonlinear scalar problems.

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