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- W2548973772 abstract "This paper presents preliminary developments of entropy-stable residual distribution methods for scalar problems. Controlling entropy generation is achieved by formulating an entropy conserved signals distribution coupled with an entropy-stable signals distribution. Numerical results of the entropy-stable residual distribution methods are accurate and comparable with the classic residual distribution methods for steady-state problems. High order accurate extensions for the new method on steady-state problems are also demonstrated. Moreover, the new method preserves second order accuracy on unsteady problems using an explicit time integration scheme. The idea of the multi-dimensional entropy-stable residual distribution method is generic enough to be extended to the system of hyperbolic equations, which will be presented in the sequel of this paper." @default.
- W2548973772 created "2016-11-11" @default.
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- W2548973772 date "2017-02-01" @default.
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- W2548973772 title "Developments of entropy-stable residual distribution methods for conservation laws I: Scalar problems" @default.
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- W2548973772 doi "https://doi.org/10.1016/j.jcp.2016.10.065" @default.
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