Entropy stable multi-dimensional dissipation function for the roe scheme on unstructured meshes

Jemcov, Aleksandar and Jasak, Hrvoje (2012) Entropy stable multi-dimensional dissipation function for the roe scheme on unstructured meshes. = Entropy stable multi-dimensional dissipation function for the roe scheme on unstructured meshes. In: 50th AIAA Aerospace Sciences Meeting Including the New Horizons Forum and Aerospace Exposition, 09-12.01.2012., Nashville, TN; United States.

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Entropy stable multi-dimensional dissipation function for the roe scheme on unstructured meshesc.pdf - Accepted Version Jezik dokumenta:English

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Official URL: https://arc.aiaa.org/doi/abs/10.2514/6.2012-569

Abstract

Flux difference schemes based on the Roe approximate Riemann solver provide for sharp resolution of shock waves and contact discontinuities. Despite its good properties, the Roe scheme does not possess entropy stability that is required for the scheme to provide physically correct solutions. In addition, since the approximate Riemann solver was developed using one-dimensional considerations, the carbuncle instability appears around stagnation points for mesh-aligned flows. A solution to both entropy stability and the carbuncle problem is considered here. An alternative form of the dissipation function is developed that addresses both problems. The new dissipation function is based on the multidimensional modification to dissipation function of Roe scheme. The new scheme is shown to maintain sharp resolution comparable to the Roe flux difference scheme while satisfying entropy stability and removing the carbuncle type of instability. Copyright © 2012 by the American Institute of Aeronautics and Astronautics, Inc.

Item Type: Conference or Workshop Item (Lecture)
Keywords (Croatian): Approximate Riemann solver; Contact discontinuities; Correct solution; Dissipation functions; Flux difference; Roe approximate Riemann solver; Roe scheme; Stagnation points; Aerospace engineering; Entropy; Exhibitions; Stability
Subjects: TECHNICAL SCIENCE
Divisions: 500 Department of Energy, Power Engineering and Environment > 530 Chair of Turbomachinery
Indexed in Web of Science: No
Indexed in Current Contents: No
Citations SCOPUS: 0 (03.04.2017.)
Date Deposited: 04 May 2015 10:42
Last Modified: 03 Apr 2017 12:41
URI: http://repozitorij.fsb.hr/id/eprint/3862

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