Multidimensional MHD Algorithms in Athena

Details Multidimensional MHD Algorithms in Athena Multidimensional MHD Algorithms in Athena

Dec 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aspc..359..143g&link_type=abstract

Numerical Modeling of Space Plasma Flows: Astronum-2006 ASP Conference Series, Volume 359, Proceedings of the Conference Held 26

Astronomy and Astrophysics

Astronomy

4

Scientific paper

We briefly outline our efforts at constructing multidimensional Godunov algorithms for solving the ideal magnetohydrodynamics equations. These algorithms use an extension of the Piecewise Parabolic Method (PPM) for constructing interface states which includes MHD source terms for both stability and accuracy of the method. We present a physically intuitive description of the MHD source terms used for calculating the PPM interface states for the three-dimensional MHD system and show that this is a generalization of the method used for our two-dimensional integration algorithm. We also present the solutions for two MHD problems as an illustration of the properties of the method.

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