40 citations · 263 across the 13 of their papers we have counts for
11 papers · 1 filter
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)…
High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom topography
Zhihao Zhang, Junming Duan, Huazhong Tang
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 bo…
Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems
Junming Duan, Jan S. Hesthaven
Reduced-order models are indispensable for multi-query or real-time problems. However, there are still many challenges to constructing efficient ROMs for time-dependent parametrize…
High-order accurate entropy stable adaptive moving mesh finite difference schemes for (multi-component) compressible Euler equations with the stiffened equation of state
Shangting Li, Junming Duan, Huazhong Tang
This paper extends the high-order entropy stable (ES) adaptive moving mesh finite difference schemes developed in [14] to the two- and three-dimensional (multi-component) compressi…
High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto)hydrodynamics
Junming Duan, Huazhong Tang
This paper develops high-order accurate entropy stable (ES) adaptive moving mesh finite difference schemes for the two- and three-dimensional special relativistic hydrodynamic (RHD…
Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics
Junming Duan, Huazhong Tang
This paper develops entropy stable (ES) adaptive moving mesh schemes for the 2D and 3D special relativistic hydrodynamic (RHD) equations. They are built on the ES finite volume app…
High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics
Junming Duan, Huazhong Tang
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 numerica…
High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics
Junming Duan, Huazhong Tang
This paper studies high-order accurate entropy stable nodal discontinuous Galerkin (DG) schemes for the ideal special relativistic magnetohydrodynamics (RMHD). It is built on the m…
High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics
Junming Duan, Huazhong Tang
This paper develops the high-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamic equations. The schemes are built…
Physical-constraints-preserving Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamics
Dan Ling, Junming Duan, Huazhong Tang
This paper studies the physical-constraints-preserving (PCP) Lagrangian finite volume schemes for one- and two-dimensional special relativistic hydrodynamic (RHD) equations. First,…
An efficient ADER discontinuous Galerkin scheme for directly solving Hamilton-Jacobi equation
Junming Duan, Huazhong Tang
This paper proposes an efficient ADER (Arbitrary DERivatives in space and time) discontinuous Galerkin (DG) scheme to directly solve the Hamilton-Jacobi equation. Unlike multi-stag…