5 papers · 1 filter
Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities
Raymond Park, Jesse Chan
Entropy stable discontinuous Galerkin (DG) methods display improved robustness for problems with shocks, turbulence, and under-resolved features by enforcing an entropy inequality.…
On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods
Samuel Q. Van Fleet, Jesse Chan
Entropy correction artificial viscosity (ECAV) is an approach for enforcing a semi-discrete entropy inequality through an entropy dissipative correction term. The resulting method…
An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods
Jesse Chan
Entropy stable discontinuous Galerkin (DG) methods improve the robustness of high order DG simulations of nonlinear conservation laws. These methods yield a semi-discrete entropy i…
An Entropy Stable High-Order Discontinuous Galerkin Method on Cut Meshes
Christina G. Taylor, Jesse Chan
High-order entropy stable summation-by-parts (SBP) schemes are a class of robust and accurate numerical methods for hyperbolic conservation laws that are numerically stable at arbi…
An Energy Stable High-Order Cut Cell Discontinuous Galerkin Method with State Redistribution for Wave Propagation
Christina G. Taylor, Lucas C. Wilcox, Jesse Chan
Cut meshes are a type of mesh that is formed by allowing embedded boundaries to "cut" a simple underlying mesh resulting in a hybrid mesh of cut and standard elements. While cut me…