An upwind differencing scheme for the equations of ideal magnetohydrodynamics
Journal of Computational Physics
Notes on the eigensystem of magnetohydrodynamics
SIAM Journal on Applied Mathematics
A comparative study of characteristic-based algorithms for the Maxwell equations
Journal of Computational Physics
A High-Order Godunov-Type Scheme for Shock Interactions in Ideal Magnetohydrodynamics
SIAM Journal on Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
A high-order WENO finite difference scheme for the equations of ideal magnetohydrodynamics
Journal of Computational Physics
Approximate Riemann solver for the two-fluid plasma model
Journal of Computational Physics
A high resolution wave propagation scheme for ideal Two-Fluid plasma equations
Journal of Computational Physics
E-CUSP scheme for the equations of ideal magnetohydrodynamics with high order WENO Scheme
Journal of Computational Physics
Hi-index | 31.45 |
The coupled system of the Navier-Stokes and Maxwell equations are recast into a strong conservative form, which allows the fluid coupling to the Maxwell system to be written in terms of flux divergence rather than explicit source terms. This effectively removes source terms from the Navier-Stokes equations, although retaining an exact coupling to the electromagnetics. While this relieves the stiff source terms and potentially stabilizes the system, it introduces a much more complicated eigenstructure to the governing equations. The flux Jacobian and eigenvectors for this strong conservative system are presented in the current paper for the first time. An approximate Riemann solver based upon these eigenvectors is then introduced and tested. The solver is implemented in a preconditioned, dual-time implicit form. Validations for classic one- and two-dimensional problems are presented, and the performances of the new formulation and the traditional source-coupled formulation are compared.