Divergence-free magnetohydrodynamics on conformally moving, adaptive meshes using a vector potential method
From MaRDI portal
Publication:6186191
DOI10.1016/j.jcpx.2019.100020arXiv1812.01701MaRDI QIDQ6186191
Peter Anninos, Payden L. Shaw, P. Chris Fragile, Daniel Nemergut
Publication date: 9 January 2024
Published in: Journal of Computational Physics: X (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1812.01701
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Magnetohydrodynamics and electrohydrodynamics (76Wxx)
Cites Work
- Optimal mass transport for higher dimensional adaptive grid generation
- Robust, multidimensional mesh-motion based on Monge-Kantorovich equidistribution
- Hydromagnetic turbulence in computer simulations
- Divergence-free MHD on unstructured meshes using high order finite volume schemes based on multidimensional Riemann solvers
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- A staggered mesh algorithm using high order Godunov fluxes to ensure solenoidal magnetic fields in magnetohydrodynamic simulations
- MOCCT: A numerical technique for astrophysical MHD
- 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
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- Multidimensional HLLE Riemann solver: application to Euler and magnetohydrodynamic flows
- An unsplit Godunov method for ideal MHD via constrained transport in three dimensions
- A two-dimensional HLLC Riemann solver for conservation laws: application to Euler and magnetohydrodynamic flows
- Moving Mesh Generation Using the Parabolic Monge–Ampère Equation
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- A Moving Mesh Method Based on the Geometric Conservation Law
- A New Class of Optimal High-Order Strong-Stability-Preserving Time Discretization Methods
- Numerical hydrodynamics in general relativity
- Practical aspects of formulation and solution of moving mesh partial differential equations
This page was built for publication: Divergence-free magnetohydrodynamics on conformally moving, adaptive meshes using a vector potential method