5 papers
A limiter-based approach to construct high-order fully-discrete entropy stable explicit DG schemes for hyperbolic conservation laws
Yuchang Liu, Wei Guo, Yan Jiang +1
This paper presents a class of novel high-order fully-discrete entropy stable (ES) discontinuous Galerkin (DG) schemes with explicit time discretization. The proposed methodology e…
Structure-preserving nodal DG method for Euler equations with gravity II: general equilibrium states
Yuchang Liu, Wei Guo, Yan Jiang +1
We develop an entropy-stable nodal discontinuous Galerkin (DG) scheme for the Euler equations with gravity, which is also well-balanced with respect to general equilibrium solution…
Non-oscillatory entropy stable DG schemes for hyperbolic conservation law
Yuchang Liu, Wei Guo, Yan Jiang +1
In this paper, we propose a class of non-oscillatory, entropy-stable discontinuous Galerkin (NOES-DG) schemes for solving hyperbolic conservation laws. By incorporating a specific…
Structure-preserving nodal DG method for the Euler equations with gravity: well-balanced, entropy stable, and positivity preserving
Yuchang Liu, Wei Guo, Yan Jiang +1
We propose an entropy stable and positivity preserving discontinuous Galerkin (DG) scheme for the Euler equations with gravity, which is also well-balanced for hydrostatic equilibr…
A globally divergence-free entropy stable nodal DG method for conservative ideal MHD equations
Yuchang Liu, Wei Guo, Yan Jiang +1
We propose an arbitrarily high-order globally divergence-free entropy stable nodal discontinuous Galerkin (DG) method to directly solve the conservative form of the ideal MHD equat…