Flux corrected transport method for MHD plasma: description of the numerical algorithm and tests

Astronomy and Astrophysics – Astrophysics

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Sun, Numerical Simulations, Oscillations

Scientific paper

This paper gives a detailed description of an MHD code for the simulation of 2D flows and waves in magnetic astrophysical plasmas. The code uses the flux corrected transport method with Zalesak's flux limiter for the spatial integration and a predictor-corrector method for the direct time integration. Results of test problems are presented in order to assess the numerical accuracy and performance of the code. The test problems deal with the numerical simulations of impulsively generated nonlinear MHD waves in coronal density interfaces and slabs. At present the code uses Cartesian coordinates and the MHD equations for a (β=0) pressureless ideal plasma. The extension to more complicated geometries and non-zero β plasmas is straightforward.

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