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Developments of entropy-stable residual distribution methods for conservation laws 1 scalar problems /Farzad Ismail , Hossain Chizari

Developments of entropy-stable residual distribution methods for conservation laws 1 scalar problems_Farzad Ismail , Hossain Chizari

Abstract This paper presents preliminary developments of entropy-stable residual distribution methods for scalar problems. Controlling entropy generation is achieved by formulating a 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.

Contributor(s): Farzad Ismail - Author Hossain Chizari - Author Language: English Subject Keywords: Entropy-stable ; Residual distribution ; Semi-discrete ; Scalar advection First presented to the public: 11/2/2016 Original Publication Date: 2/26/2020 Previously Published By: Universiti Sains Malaysia Place Of Publication: School of Aerospace Engineering Citation: Extents: Number of Pages - 34 License Grantor / Date Granted:   / ( View License ) Date Deposited 2020-02-26 10:52:29.872 Submitter: Nor Hayati Ismail

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