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 …

[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 …

[HTML][HTML] High-order accurate well-balanced energy stable adaptive moving mesh finite difference schemes for the shallow water equations with non-flat bottom …

Z Zhang, J Duan, H Tang - Journal of Computational Physics, 2023 - Elsevier
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 …

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 …

求解一维理想磁流体方程的移动网格熵稳定格式.

翟梦情, 李琦, 郑素佩 - Chinese Journal of Computational …, 2023 - search.ebscohost.com
摘要椇磁流体方程的数值求解在等离子体物理学暍天体物理研究以及流动控制等领域具有重要
意义棳本文构造了用于求解理想磁流体动力学方程的基于移动网格的熵稳定格式棳此方法将斠 …

Sign stable arbitrary high order reconstructions for constructing non-oscillatory entropy stable schemes

PK Pandey, RK Dubey - Applied Mathematics and Computation, 2023 - Elsevier
High order sign stable reconstructions are much sought after to develop high order non-
oscillatory entropy stable schemes. This work presents a very simple but generic approach …

Entropy stable discontinuous Galerkin schemes for the special relativistic hydrodynamics equations

B Biswas, H Kumar, D Bhoriya - Computers & Mathematics with …, 2022 - Elsevier
This article presents entropy stable discontinuous Galerkin numerical schemes for equations
of special relativistic hydrodynamics with the ideal equation of state. The numerical schemes …

Locally divergence-free well-balanced path-conservative central-upwind schemes for rotating shallow water MHD

A Chertock, A Kurganov, M Redle, V Zeitlin - Journal of Computational …, 2024 - Elsevier
We develop a new second-order flux globalization based path-conservative central-upwind
(PCCU) scheme for rotating shallow water magnetohydrodynamic equations. The new …

A well-balanced finite volume solver for the 2D shallow water magnetohydrodynamic equations with topography

A Cissé, I Elmahi, I Kissami, A Ratnani - Computer Physics …, 2024 - Elsevier
In this paper, a second-order finite volume Non-Homogeneous Riemann Solver is used to
obtain an approximate solution for the two-dimensional shallow water …