A 3D cell-centered Lagrangian scheme for the ideal magnetohydrodynamics equations on unstructured meshes
DOI10.1016/j.cma.2018.08.022zbMath1440.76101OpenAlexW2888050285WikidataQ129354820 ScholiaQ129354820MaRDI QIDQ1986405
Zihuan Dai, Zhiming Gao, Xiao Xu
Publication date: 8 April 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2018.08.022
Finite volume methods applied to problems in fluid mechanics (76M12) Magnetohydrodynamics and electrohydrodynamics (76W05) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items (max. 100)
Uses Software
Cites Work
- Unnamed Item
- Lagrangian ADER-WENO finite volume schemes on unstructured triangular meshes based on genuinely multidimensional HLL Riemann solvers
- A direct arbitrary-Lagrangian-Eulerian ADER-WENO finite volume scheme on unstructured tetrahedral meshes for conservative and non-conservative hyperbolic systems in 3D
- Multidimensional Riemann problem with self-similar internal structure. I: Application to hyperbolic conservation laws on structured meshes
- Three dimensional HLL Riemann solver for conservation laws on structured meshes; application to Euler and magnetohydrodynamic flows
- Arbitrary Lagrangian-Eulerian methods for modeling high-speed compressible multimaterial flows
- A cell-centered Lagrangian hydrodynamics scheme on general unstructured meshes in arbitrary dimension
- An adaptive moving mesh method for two-dimensional ideal magnetohydrodynamics
- A high-order cell-centered Lagrangian scheme for two-dimensional compressible fluid flows on unstructured meshes
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- The construction of compatible hydrodynamics algorithms utilizing conservation of total energy
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- On Godunov-type schemes for magnetohydrodynamics. I: A model system
- Elimination of artificial grid distortion and hourglass-type motions by means of Lagrangian subzonal masses and pressures
- An approximate Riemann solver for ideal magnetohydrodynamics
- Positive and entropy-stable Godunov-type schemes for gas dynamics and MHD equations in Lagrangian or Eulerian coordinates
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- An unsplit Godunov method for ideal MHD via constrained transport
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- A 3D GCL compatible cell-centered Lagrangian scheme for solving gas dynamics equations
- A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations
- Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws
- A linearity-preserving cell-centered scheme for the heterogeneous and anisotropic diffusion equations on general meshes
- A NEW LAGRANGIAN FORMULATION OF IDEAL MAGNETOHYDRODYNAMICS
- A Cell-Centered Lagrangian Scheme for Two-Dimensional Compressible Flow Problems
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- Efficient MHD Riemann solvers for simulations on unstructured triangular grids
- 3D staggered Lagrangian hydrodynamics scheme with cell‐centered Riemann solver‐based artificial viscosity
This page was built for publication: A 3D cell-centered Lagrangian scheme for the ideal magnetohydrodynamics equations on unstructured meshes