Berlin 2014 – scientific programme

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P: Fachverband Plasmaphysik

P 14: Poster Session - Theory and Modelling

P 14.6: Poster

Tuesday, March 18, 2014, 16:30–18:30, SPA Foyer

Stabilization of finite-element methods for shock wave problems in Comsol Multiphysics — •Marina Lisnyak, Markus M. Becker, Sergej Gorchakov, Detlef Loffhagen, and Klaus-Dieter Weltmann — INP Greifswald, Felix-Hausdorff-Str. 2, 17489 Greifswald

It is well known that in arc plasmas shock waves can occur. Therefore, numerical methods used for modelling of arc plasmas have to be robust and able to describe discontinuities. Sudden jumps of plasma properties such as temperature and pressure lead to shock wave initiation. During the last decades large effort for the development of numerical methods for the accurate description of shock waves in gases have been made. However, more general methods are still required for modelling of arc plasmas since different phenomena have to be described at the same time. In the present contribution the capabilities of the commercial software package Comsol Multiphysics for modelling of strong shock waves are evaluated. Different techniques for stabilization of the implemented finite-element methods are compared with the example of known test cases, like Sod’s shock tube problem and Lax’ problem. The results demonstrate that the streamline upwind Petrov-Galerkin (SUPG) stabilization gives satisfactory results and allows to remove instabilities, except narrow regions near discontinuities.