4 papers · 1 filter
Stabilizing Discontinuous Galerkin Methods Using Dafermos' Entropy Rate Criterion: II -- Systems of Conservation Laws and Entropy Inequality Predictors
Simon-Christian Klein
A novel approach for the stabilization of the Discontinuous Galerkin method based on the Dafermos entropy rate crition is presented. First, estimates for the maximal possible entro…
Entropy-aware non-oscillatory high-order finite volume methods using the Dafermos entropy rate criterion
Simon-Christian Klein, Thomas Sonar
Finite volume methods are popular tools for solving time-dependent partial differential equations, especially hyperbolic conservation laws. Over the past 40 years a popular way of…
Entropy conservative high-order fluxes in the presence of boundaries
Simon-Christian Klein, Philipp Öffner
In this paper, we propose a novel development in the context of entropy stable finite-volume/finite-difference schemes. In the first part, we focus on the construction of high-orde…
Using the Dafermos Entropy Rate Criterion in Numerical Schemes
Simon-Christian Klein
The following work concerns the construction of an entropy dissipative finite volume solver based on the convex combination of an entropy conservative and an entropy dissipative fl…