6 papers
E Scheme and Flux-Limiter Scheme, Revisited
Huazhong Tang
This paper revisits the {\em E scheme} of Osher \cite{Osher-SINUM1984} and the {\em flux-limiter scheme} of Sweby for quasi-linear hyperbolic conservation laws \cite{Sweby-SINUM198…
High-order accurate structure-preserving finite volume schemes on adaptive moving meshes for shallow water equations: Well-balancedness and positivity
Zhihao Zhang, Huazhong Tang, Kailiang Wu
This paper develops high-order accurate, well-balanced (WB), and positivity-preserving (PP) finite volume schemes for shallow water equations on adaptive moving structured meshes.…
High-order accurate entropy stable schemes for compressible Euler equations with van der Waals equation of state on adaptive moving meshes
Shangting Li, Huazhong Tang
This paper develops the high-order entropy stable (ES) finite difference schemes for multi-dimensional compressible Euler equations with the van der Waals equation of state (EOS) o…
A second-order direct Eulerian GRP scheme for ten-moment Gaussian closure equations with source terms
Jiangfu Wang, Huazhong Tang
This paper proposes a second-order accurate direct Eulerian generalized Riemann problem (GRP) scheme for the ten-moment Gaussian closure equations with source terms. The generalize…
High-order accurate positivity-preserving and well-balanced discontinuous Galerkin schemes for ten-moment Gaussian closure equations with source terms
Jiangfu Wang, Huazhong Tang, Kailiang Wu
This paper proposes novel high-order accurate discontinuous Galerkin (DG) schemes for the one- and two-dimensional ten-moment Gaussian closure equations with source terms defined b…
High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes
Zhihao Zhang, Huazhong Tang, Junming Duan
This paper develops high-order well-balanced (WB) energy stable (ES) finite difference schemes for multi-layer (the number of layers ) shallow water equations (SWEs)…