[HTML][HTML] Non-intrusive data-driven reduced-order modeling for time-dependent parametrized problems

J Duan, JS Hesthaven - Journal of Computational Physics, 2024 - Elsevier
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 …

Entropy stable adaptive moving mesh schemes for 2D and 3D special relativistic hydrodynamics

J Duan, H Tang - Journal of Computational Physics, 2021 - Elsevier
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 …

High-order accurate entropy stable finite difference schemes for the shallow water magnetohydrodynamics

J Duan, H Tang - Journal of Computational Physics, 2021 - Elsevier
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 …

A physical-constraint-preserving finite volume WENO method for special relativistic hydrodynamics on unstructured meshes

Y Chen, K Wu - Journal of Computational Physics, 2022 - Elsevier
This paper presents a highly robust third-order accurate finite volume weighted essentially
non-oscillatory (WENO) method for special relativistic hydrodynamics on unstructured …

Minimum principle on specific entropy and high-order accurate invariant-region-preserving numerical methods for relativistic hydrodynamics

K Wu - SIAM Journal on Scientific Computing, 2021 - SIAM
This paper first explores Tadmor's minimum entropy principle for the special relativistic
hydrodynamics (RHD) equations and incorporates this principle into the design of robust …

[HTML][HTML] High-order accurate well-balanced energy stable finite difference schemes for multi-layer shallow water equations on fixed and adaptive moving meshes

Z Zhang, H Tang, J Duan - Journal of Computational Physics, 2024 - Elsevier
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 …

[HTML][HTML] An entropy-stable discontinuous Galerkin discretization of the ideal multi-ion magnetohydrodynamics system

AM Rueda-Ramírez, A Sikstel, GJ Gassner - Journal of Computational …, 2025 - Elsevier
In this paper, we present an entropy-stable (ES) discretization using a nodal discontinuous
Galerkin (DG) method for the ideal multi-ion magneto-hydrodynamics (MHD) equations. We …

Entropy symmetrization and high-order accurate entropy stable numerical schemes for relativistic MHD equations

K Wu, CW Shu - SIAM Journal on Scientific Computing, 2020 - SIAM
This paper presents entropy symmetrization and high-order accurate entropy stable
schemes for the relativistic magnetohydrodynamic (RMHD) equations. It is shown that the …

High-order accurate entropy stable adaptive moving mesh finite difference schemes for special relativistic (magneto) hydrodynamics

J Duan, H Tang - Journal of Computational Physics, 2022 - Elsevier
This paper develops high-order accurate entropy stable (ES) adaptive moving mesh finite
difference schemes for the two-and three-dimensional special relativistic hydrodynamic …

High-order accurate entropy stable nodal discontinuous Galerkin schemes for the ideal special relativistic magnetohydrodynamics

J Duan, H Tang - Journal of Computational Physics, 2020 - Elsevier
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 …