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 for both linear and nonlinear scalar problems.
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CITATION STYLE
Abbas, Q., Van Der Weide, E., & Nordström, J. (2010). Energy stability of the MUSCL scheme. In 7th South African Conference on Computational and Applied Mechanics, SACAM 2010 (pp. 353–360). South African Association for Theoretical and Applied Mechanics (SAAM). https://doi.org/10.1007/978-3-642-11795-4_5
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