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P: Fachverband Plasmaphysik

P 19: Codes and Modelling - Poster

P 19.8: Poster

Mittwoch, 7. März 2018, 16:15–18:15, Zelt Ost

Higher order MHD numerics — Prabal Singh Verma¹, •Jean-Mathieu Teissier^2,3, Oliver Henze², and Wolf-Christian Müller^2,4 — ¹Aix-Marseille Université, Laboratoire de Physique des Interactions Ioniques et Moléculaires — ²Technische Universität Berlin, Zentrum für Astronomie und Astrophysik — ³Berlin International Graduate School in Model and Simulation based Research — ⁴Max-Planck/Princeton Center for Plasma Physics, Princeton, NJ, USA

We present a simple fourth-order accurate finite volume scheme for solving compressible astrophysical ideal magnetohydrodynamics (MHD) problems using Cartesian meshes. Evolution of the magnetic field is realized by the constrained transport approach. Reconstruction and flux computation are performed in a dimension-by-dimension fashion to achieve better computational efficiency. Validation was performed through a variety of standard test cases.

Several reconstruction methods are employed, including Central Weighted Essentially Non Oscillatory reconstruction. In order to enhance robustness at higher Mach numbers, the reconstruction method is selected depending on the local gradient of the solution. Higher order is achieved in the dimension-by-dimension approach using a face-to-point value transformation based on a Taylor expansion. The system can be driven by external stochastical forcing such as an Ornstein-Uhlenbeck process. Lagrangian aspects can be studied by a parallelized tracking of passively advected tracer particles.