ON THE TIME-DEPENDENT NUMERICAL BOUNDARY-CONDITIONS OF MAGNETOHYDRODYNAMIC FLOWS

The time-dependent numerical boundary conditions for time-dependent ma gnetodydrodynamic fluid flow simulations have been studied. In this pa per, the formulation of the time-dependent numerical boundary conditio ns are described in a systematic way such that they can be adapted to different applications. In particular, the algorithm, which uses the b oundary conditions for the solutions inside the computational domain o f the test cases, is available for solving both parabolic and hyperbol ic systems of partial differential equations. A numerical example for an astrophysical application in the context of photospheric shear indu ced dynamics is chosen to validate this new formulation. (C) 1995 Acad emic Press, Inc.