High order entropy preserving ADER-DG schemes
In this paper, we develop a fully discrete entropy preserving ADER-Discontinuous Galerkin
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …
(ADER-DG) method. To obtain this desired result, we equip the space part of the method …
High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
This paper develops the high-order accurate entropy stable (ES) finite difference schemes
for the shallow water magnetohydrodynamic (SWMHD) equations. They are built on the …
for the shallow water magnetohydrodynamic (SWMHD) equations. They are built on the …
Numerical solution for two-dimensional partial differential equations using SM's method
In this research paper, the authors aim to establish a novel algorithm in the finite difference
method (FDM). The novel idea is proposed in the mesh generation process, the process to …
method (FDM). The novel idea is proposed in the mesh generation process, the process to …
[HTML][HTML] High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes
This paper develops high-order accurate well-balanced (WB) energy stable (ES) finite
difference schemes for multi-layer (the number of layers M⩾ 2) shallow water equations …
difference schemes for multi-layer (the number of layers M⩾ 2) shallow water equations …
[HTML][HTML] High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom …
This paper proposes high-order accurate well-balanced (WB) energy stable (ES) adaptive
moving mesh finite difference schemes for the shallow water equations (SWEs) with non-flat …
moving mesh finite difference schemes for the shallow water equations (SWEs) with non-flat …
High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto) hydrodynamics
This paper develops high-order accurate entropy stable (ES) adaptive moving mesh finite
difference schemes for the two-and three-dimensional special relativistic hydrodynamic …
difference schemes for the two-and three-dimensional special relativistic hydrodynamic …
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of …
This paper extends the high-order entropy stable (ES) adaptive moving mesh finite
difference schemes developed in Duan and Tang (2022) to the two-and three-dimensional …
difference schemes developed in Duan and Tang (2022) to the two-and three-dimensional …
Genuinely multidimensional physical-constraints-preserving finite volume schemes for the special relativistic hydrodynamics
D Ling, H Tang - arXiv preprint arXiv:2303.02686, 2023 - arxiv.org
This paper develops the genuinely multidimensional HLL Riemann solver for the two-
dimensional special relativistic hydrodynamic equations on Cartesian meshes and studies …
dimensional special relativistic hydrodynamic equations on Cartesian meshes and studies …
Entropy stable scheme for ideal MHD equations on adaptive unstructured meshes
C Zhang, S Zheng, J Feng, S Liu - Computers & Fluids, 2024 - Elsevier
An entropy stable scheme based on adaptive unstructured meshes for solving ideal
magnetohydrodynamic (MHD) equations is proposed. Firstly, a semi-discrete finite volume …
magnetohydrodynamic (MHD) equations is proposed. Firstly, a semi-discrete finite volume …
An adaptive moving mesh finite difference scheme for tokamak magneto-hydrodynamic simulations
J Wang, JM Duan, ZW Ma, W Zhang - Computer Physics Communications, 2024 - Elsevier
An adaptive moving mesh finite difference scheme is developed for tokamak magneto-
hydrodynamic (MHD) simulations, based on the CLT code (S. Wang and ZW Ma, Phys …
hydrodynamic (MHD) simulations, based on the CLT code (S. Wang and ZW Ma, Phys …