Thermal conduction in a 2-D FCT plasma hydrodynamic code

Physics

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Scientific paper

This paper presents an algorithm for inclusion of thermal conduction in a 2-D hydrodynamic code for compressible inviscid plasmas. The code is flexible for a wide series of applications in astrophysics, solves the hydrodynamic equations in conservative form in the most used coordinate systems and is based on an explicit fully 2-D flux corrected transport technique (FCT). The algorithm separates the energy equation in two distinct sections, characterized by different integration time steps ( time splitting ). The dynamic section is solved with the usual FCT scheme; the thermal section is solved using an implicit alternating-direction numerical scheme, which ensures unconditional numerical stability. The formulation is such to describe the plasma energy evolution also in non-uniformly spaced grids and in different coordinate systems. A whole set of tests of increasing complexity are presented to check the accuracy of the code.

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