An upwind differencing scheme for the equations of ideal magnetohydrodynamics
Journal of Computational Physics
Accurate semi-implicit treatment of the hall effect in magnetohydrodynamic computations
Journal of Computational Physics
A higher-order Godunov method for the equations of ideal magnetohydrodynamics
Journal of Computational Physics
A comparative study of characteristic-based algorithms for the Maxwell equations
Journal of Computational Physics
An implicit scheme for nonideal magnetohydrodynamics
Journal of Computational Physics
Transport of magnetic flux in an arbitrary coordinate ALE code
Journal of Computational Physics
An implicit energy-conservative 2D Fokker-Planck algorithm: I. difference scheme
Journal of Computational Physics
An implicit energy-conservative 2D Fokker-Planck algorithm: II. Jacobian-free Newton—Krylov solver
Journal of Computational Physics
An asymptotic preserving scheme for the two-fluid Euler-Poisson model in the quasineutral limit
Journal of Computational Physics
A high resolution wave propagation scheme for ideal Two-Fluid plasma equations
Journal of Computational Physics
A volume of fluid method for a two-dimensional plasma expansion problem
Journal of Computational Physics
Mathematics and Computers in Simulation
A semi-discrete solution for a wind turbine fluid model
ASMCSS'09 Proceedings of the 3rd International Conference on Applied Mathematics, Simulation, Modelling, Circuits, Systems and Signals
Journal of Computational and Applied Mathematics
MMACTEE'07 Proceedings of the 9th WSEAS international conference on Mathematical methods and computational techniques in electrical engineering
Numerical approximation of the Euler-Maxwell model in the quasineutral limit
Journal of Computational Physics
Numerical Approximation of the Euler-Poisson-Boltzmann Model in the Quasineutral Limit
Journal of Scientific Computing
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 31.48 |
An algorithm is presented for the simulation of plasma dynamics using the two-fluid plasma model. The two-fluid plasma model is more general than the magnetohydrodynamic (MHD) model often used for plasma dynamic simulations. The two-fluid equations are derived in divergence form and an approximate Riemann solver is developed to compute the fluxes of the electron and ion fluids at the computational cell interfaces and an upwind characteristic-based solver to compute the electromagnetic fields. The source terms that couple the fluids and fields are treated implicitly to relax the stiffness. The algorithm is validated with the coplanar Riemann problem, Langmuir plasma oscillations, and the electromagnetic shock problem that has been simulated with the MHD plasma model. A numerical dispersion relation is also presented that demonstrates agreement with analytical plasma waves.