Hybrid entropy stable HLL-type Riemann solvers for hyperbolic conservation laws
作者： Birte Schmidtmann , Andrew R. Winters
DOI: 10.1016/J.JCP.2016.10.034
关键词: Jacobian matrix and determinant 、 Riemann hypothesis 、 Dissipative system 、 Mathematics 、 Mathematical analysis 、 Computational mathematics 、 Conservation law 、 Dissipation 、 Riemann problem 、 Riemann solver
摘要: It is known that HLL-type schemes are more dissipative than based on characteristic decompositions. However, methods offer greater flexibility to large systems of hyperbolic conservation laws because the eigenstructure flux Jacobian not needed. We demonstrate in present work several Riemann solvers provably entropy stable. Further, we provide convex combinations standard dissipation terms create hybrid have less while retaining stability. The decrease demonstrated for ideal MHD equations with a numerical example.
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128.84.21.199参考文章(11)
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