A central-constrained transport scheme for ideal magnetohydrodynamics
From MaRDI portal
Publication:598407
DOI10.1016/j.jcp.2003.11.003zbMath1115.76427OpenAlexW2054940167MaRDI QIDQ598407
Publication date: 6 August 2004
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2003.11.003
Related Items
A high-order positivity-preserving single-stage single-step method for the ideal magnetohydrodynamic equations ⋮ Central finite volume methods for ideal and shallow water magnetohydrodynamics ⋮ An extension of AUFSR scheme for the ideal magnetohydrodynamics equations ⋮ Implicit dual-time stepping method for a solar wind model in spherical coordinates ⋮ A semi-discrete central scheme for magnetohydrodynamics on orthogonal-curvilinear grids ⋮ A \(4^{\mathrm{th}}\)-order accurate finite volume method for ideal classical and special relativistic MHD based on pointwise reconstructions ⋮ High order central scheme on overlapping cells for magneto-hydrodynamic flows with and without constrained transport method ⋮ A time-accurate explicit multi-scale technique for gas dynamics ⋮ A solution-adaptive central-constraint transport scheme for magnetohydrodynamics ⋮ Unstaggered central schemes with constrained transport treatment for ideal and shallow water magnetohydrodynamics ⋮ The NIRVANA code: parallel computational MHD with adaptive mesh refinement ⋮ A second-order unsplit Godunov scheme for cell-centered MHD: the CTU-GLM scheme ⋮ Central finite volume schemes with constrained transport divergence treatment for three-dimensional ideal MHD ⋮ Positivity-Preserving Finite Difference Weighted ENO Schemes with Constrained Transport for Ideal Magnetohydrodynamic Equations ⋮ Generation of axisymmetric modes in cylindrical kinematic mean-field dynamos of VKS type
Uses Software
Cites Work
- Unnamed Item
- The piecewise parabolic method (PPM) for gas-dynamical simulations
- Non-oscillatory central differencing for hyperbolic conservation laws
- An upwind differencing scheme for the equations of ideal magnetohydrodynamics
- Uniformly high order accurate essentially non-oscillatory schemes. III
- Efficient implementation of essentially nonoscillatory shock-capturing schemes
- Efficient implementation of essentially nonoscillatory shock-capturing schemes. II
- Third order nonoscillatory central scheme for hyperbolic conservation laws
- The effect of nonzero \(\bigtriangledown\cdot B\) on the numerical solution of the magnetohydrodynamic equations
- Towards the ultimate conservative difference scheme. IV: A new approach to numerical convection
- An unconditionally stable method for the Euler equations
- A simple finite difference scheme for multidimensional magnetohydrodynamical equations
- NIRVANA\(^+\): An adaptive mesh refinement code for gas dynamics and MHD
- An approximate Riemann solver for ideal magnetohydrodynamics
- Weighted essentially non-oscillatory schemes
- A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
- The \(\nabla \cdot B=0\) constraint in shock-capturing magnetohydrodynamics codes
- Hyperbolic divergence cleaning for the MHD equations
- A solution-adaptive upwind scheme for ideal magnetohydrodynamics
- Numerical simulation of shock-cylinder interactions. I: Resolution
- Efficient implementation of weighted ENO schemes
- New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
- A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
- Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
- Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
- A Higher-Order Godunov Method for Multidimensional Ideal Magnetohydrodynamics
- Compact Central WENO Schemes for Multidimensional Conservation Laws
- High-Order Central Schemes for Hyperbolic Systems of Conservation Laws
- An efficient shock-capturing central-type scheme for multidimensional relativistic flows
- A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
- Weak solutions of nonlinear hyperbolic equations and their numerical computation
- A wave propagation method for three-dimensional hyperbolic conservation laws
- A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems
- A note on magnetic monopoles and the one-dimensional MHD Riemann problem.