Computational magneto-hydrodynamic modeling of hypersonic flows with resolved shock wave diffusion

The present model describes magneto-hydrodynamic (MHD) effects on diffusing shock waves in compressible flows. The accurateness and the robustness of these new density-based numerical algorithm in his ideal form was tested on a series of benchmark numerical experiments like the present MHD shock tube 1]. Interpolation schemes are used for interpolation of density, temperature, velocity and the magnetic field. For the discretization of laplacian terms with diffusion coefficient for polyhedral meshes, we make use of the Gauss linear uncorrected schemes to deal with the case that the consecutive cell faces are non-orthogonal. The approach described above and developed in the present project has been coupled with semi-discrete central schemes (e.g. Greenshields et al. 2]). All computational results are validated with verified data and analytical results. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)