On the time-dependent numerical boundary conditions of magnetohydrodynamic flows.

Details On the time-dependent numerical boundary conditions of magnetohydrodynamic flows. On the time-dependent numerical boundary conditions of magnetohydrodynamic flows.

Feb 1995

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1995jcoph.116..330s&link_type=abstract

Journal of Computational Physics, Vol. 116, No. 2, p. 330 - 342

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Magnetohydrodynamics: Computing

Scientific paper

The time-dependent numerical boundary conditions for time-dependent magnetohydrodynamic fluid flow simulations have been studied. In this paper, the formulation of the time-dependent numerical boundary conditions are described in a systematic way such that they can be adapted to different applications. In particular, the algorithm, which uses the boundary conditions for the solutions inside the computational domain of the test cases, is available for solving both parabolic and hyperbolic systems of partial differential equations. A numerical example for an astrophysical application in the context of photospheric shear induced dynamics is chosen to validate this new formulation.

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