Test of an MHD code for cosmological applications

Mathematics – Logic

Scientific paper

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Cosmology: Miscellaneous, Methods: Numerical, Mhd

Scientific paper

We build up a comprehensive MHD test suit containing various shock tube tests and different planar MHD test problems (like the Orzang-Tang Vortex, Blast Waves and a Rotor test). To test the MHD implementation (Dolag & Stasyszyn, in prep.) within the cosmological SPH code Gadget 13, we performed fully consistently three dimensional setups to test the code under the same conditions as used the cosmological applications. The results were compared with the idealized solutions obtained in 1D/2D using Athena 3.0 (Gardiner & Stone 2006), showing us that the SPH MHD implementation performs very well. We also compare different regularization schemes of SPH MHD suggested in the literature, and calibrate theses schemes inferring optimal values for the numerical parameters involved. The Implementation of a Hyperbolic/Parabolic divergence cleaning scheme as suggested by Dedner (Dedner et al. 2002) have been also tested, finding good agreement with the results reported in the literature (Price & Monaghan 2005).

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