Uniformly high order accurate essentially non-oscillatory schemes, 111
Journal of Computational Physics
An upwind differencing scheme for the equations of ideal magnetohydrodynamics
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes
Journal of Computational Physics
Efficient implementation of essentially non-oscillatory shock-capturing schemes,II
Journal of Computational Physics
Non-oscillatory central differencing for hyperbolic conservation laws
Journal of Computational Physics
A higher-order Godunov method for multidimensional ideal magnetohydrodynamics
SIAM Journal on Scientific Computing
An approximate Riemann solver for ideal magnetohydrodynamics
Journal of Computational Physics
Weighted essentially non-oscillatory schemes
Journal of Computational Physics
Numerical simulation of shock-cylinder interactions I.: resolution
Journal of Computational Physics
Efficient implementation of weighted ENO schemes
Journal of Computational Physics
A simple finite difference scheme for multidimensional magnetohydrodynamical equations
Journal of Computational Physics
Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
SIAM Journal on Scientific Computing
Journal of Computational Physics
An unconditionally stable method for the Euler equations
Journal of Computational Physics
High-Order Central Schemes for Hyperbolic Systems of Conservation Laws
SIAM Journal on Scientific Computing
A solution-adaptive upwind scheme for ideal magnetohydrodynamics
Journal of Computational Physics
Journal of Computational Physics
A positive conservative method for magnetohydrodynamics based on HLL and Roe methods
Journal of Computational Physics
A wave propagation method for three-dimensional hyperbolic conservation laws
Journal of Computational Physics
A note on magnetic monopoles and the one-dimensional MHD Riemann problem
Journal of Computational Physics
Hyperbolic divergence cleaning for the MHD equations
Journal of Computational Physics
A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations
SIAM Journal on Scientific Computing
Compact Central WENO Schemes for Multidimensional Conservation Laws
SIAM Journal on Scientific Computing
A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
SIAM Journal on Scientific Computing
Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
SIAM Journal on Scientific Computing
Journal of Computational Physics
Magnetorotational supernovae with resistivities
NANOTECHNOLOGY'10 Proceedings of the 2nd WSEAS international conference on Nanotechnology
E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme
Journal of Computational Physics
A Semidiscrete Finite Volume Constrained Transport Method on Orthogonal Curvilinear Grids
SIAM Journal on Scientific Computing
Hi-index | 31.46 |
I propose an easy-to-code numerical scheme for the equations of compressible ideal magnetohydrodynamics (MHD) in multiple space dimensions. The presented method employs the central-upwind scheme of Kurganov et al. [SIAM J. Sci. Comput. 160 (2001) 707] in semi-discrete form combined with the constrained transport technique to satisfy the divergence-free condition for the magnetic field up to machine precision on the numerical grid. A variety of test problems in 1D, 2D and 3D show the robustness and efficiency of this 'hybrid ansatz' which renders it an interesting alternative to existing, numerically more intricate, solvers for the MHD equations.