Seminar on Compressible Fluids

Wednesday May 18, 2011

Laboratoire Jacques-Louis Lions

Université Pierre et Marie Curie

4 Place Jussieu, 75258  PARIS

Jussieu campus. Building 15/16. Lecture room 309.


  • 11h – Siddhartha MISHRA (ETH, Zurich) Entropy stable high-order schemes for systems of conservation laws

Abstract. We design arbitrarily high-order schemes for systems of conservation laws that satisfy a discrete version of the entropy inequality. Consequently, these schemes are stable in L2. The proposed schemes are based on a combination of arbitrarily high-order entropy conservative schemes together with numerical diffusion operators. The numerical diffusion operators require an ENO reconstruction of the entropy variables. The resulting schemes are shown to be entropy stable for conservation laws in several space dimensions. Recent work extending these schemes to the fully discrete case and to unstructured meshes based on a shock-capturing space time Discontinuous Galerkin (DG) method will be mentioned. Numerical experiments illustrating the robust performance of the proposed schemes are presented. The talk is based on joint work with U. S. Fjordholm, A. Hiltebrand (ETH, Zurich) and E. Tadmor (University of Maryland, U.S.A).


Organizers. Frédéric Coquel, Edwige Godlewski, Philippe LeFloch