An Entropy Stable Finite Volume Scheme for the Equations of Shallow Water Magnetohydrodynamics

A well balanced and entropy conservative discontinuous Galerkin spectral element method for the shallow water equations

(2016) Gregor J. Gassner et al.   APPLIED MATHEMATICS AND COMPUTATION

Entropy Stable Spectral Collocation Schemes for the Navier--Stokes Equations: Discontinuous Interfaces

(2014) Mark H. Carpenter et al.   SIAM JOURNAL ON SCIENTIFIC COMPUTING

A Skew-Symmetric Discontinuous Galerkin Spectral Element Discretization and Its Relation to SBP-SAT Finite Difference Methods

(2013) Gregor J. Gassner   SIAM JOURNAL ON SCIENTIFIC COMPUTING

Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

(2012) Ulrik S. Fjordholm et al.   SIAM JOURNAL ON NUMERICAL ANALYSIS

Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography

(2011) Ulrik S. Fjordholm et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Affordable, entropy-consistent Euler flux functions II: Entropy production at shocks

(2009) Farzad Ismail et al.   JOURNAL OF COMPUTATIONAL PHYSICS