Energy Stability of the MUSCL Scheme

Qaisar Abbas (), Edwin van der Weide () and Jan Nordström ()
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Qaisar Abbas: Uppsala University, Department of Information Technology, Scientific Computing
Edwin van der Weide: University of Twente, Faculty of Engineering Technology
Jan Nordström: Uppsala University, Department of Information Technology, Scientific Computing

A chapter in Numerical Mathematics and Advanced Applications 2009, 2010, pp 61-68 from Springer

Abstract: Abstract 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.

Date: 2010
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-11795-4_5

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DOI: 10.1007/978-3-642-11795-4_5

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