A "ux-limited numerical method for solving the MHD equations to simulate propulsive plasma "ows
نویسندگان
چکیده
For numerical simulations to be e;ective tools in plasma propulsion research, a high-order accurate solver that captures MHD shocks monotonically and works reliably for strong magnetic =elds is needed. For this purpose, a characteristics-based scheme for the MHD equations, with "ux limiters to improve spatial accuracy, has been developed. In this method, the symmetric form of the MHD equations, accounting for waves propagating in all directions, are solved. The required eigensystem of axisymmetric MHD equations, with appropriate normalization, is presented. This scheme was validated with unsteady (Riemann problem) and force-free equilibrium (Taylor state) test cases, as well as with measured current density patterns in a magnetoplasmadynamic thruster. Copyright ? 2001 John Wiley & Sons, Ltd.
منابع مشابه
The Influence of Zonal Exb Flows on Edge Turbulence in Tokamaks and Stellarators
We report on uid, gyroouid and gyrokinetic numerical studies of edge turbulence in both tokamak and stellarator geometry, regarding both its physical character and its interaction with the ux surface averaged (\zonal") ExB ows which have proved so important in ion-temperature dominated core turbulence. Zonal ExB ows have a very strong eeect in shutting oo mechanisms which tend to drive radial o...
متن کاملDirichlet series and approximate analytical solutions of MHD flow over a linearly stretching sheet
The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary cond...
متن کاملNanofluid Condensation and MHD Flow Modeling over Rotating Plates Using Least Square Method (LSM)
In this study, nanofluid condensation and MHD flow analysis over an inclined and rotating plate are investigated respectively using Least Square Method (LSM) and numerical method. After presenting the governing equations and solving them by LSM, the accuracy of results is examined by the fourth order Runge-Kutta numerical method. For condensation, modeling results show that the condensate f...
متن کاملGlobal Mhd Simulations of Space Plasma Environments: Heliosphere, Comets, Magnetospheres of Planets and Satellites
Magnetohydrodynamics (MHD) provides an approximate description of a great variety of processes in space physics. Accurate numerical solutions of the MHD equations are still a challenge, but in the past decade a number of robust methods have appeared. Once these techniques made the direct solution of MHD equations feasible, a number of global three-dimensional models were designed and applied to...
متن کاملMagnetohydrodynamic Modeling of Solar Magnetic Arcades Using Exponential Propagation Methods
Advanced numerical methods based on exponential propagation have been applied to mag netohydrodynamic MHD simulations This recently developed numerical technique e volves the system of nonlinear equations using exponential propagation of the Jacobian matrix The exponential of the matrix is approximated by projecting it onto the Krylov subspace using the Arnoldi algorithm The primary advantage o...
متن کامل