Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4967766 | Journal of Computational Physics | 2017 | 5 Pages |
Abstract
It is known that HLL-type schemes are more dissipative than schemes based on characteristic decompositions. However, HLL-type methods offer greater flexibility to large systems of hyperbolic conservation laws because the eigenstructure of the flux Jacobian is not needed. We demonstrate in the present work that several HLL-type Riemann solvers are provably entropy stable. Further, we provide convex combinations of standard dissipation terms to create hybrid HLL-type methods that have less dissipation while retaining entropy stability. The decrease in dissipation is demonstrated for the ideal MHD equations with a numerical example.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Birte Schmidtmann, Andrew R. Winters,