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High-order schemes for the two-fluid MHD equations
Figure
| Project team |
Siddhartha Mishra, SAM, ETH Zurich
Harish Kumar, SAM, ETH Zurich |
| Start date |
01.10.2009 |
| Last update | 22.04.2011 |
Description
The two-fluid MHD equations consist of the Euler equations for the ion and electron plasmas coupled to the Maxwell equations of electromagnetism through the Lorentz force. The two-fluid MHD equations model finite Larmor radius effects like fast magnetic reconnection. The current project aims at the development of a robust numerical framework to discretize the two-fluid MHD equations for realistic parameters. We have designed high-resolution entropy stable schemes for the two-fluid MHD equations and novel IMEX time stepping algorithms to handle stiff source terms. Ongoing research aims at the development of a fully unstructured Discontinuous Galerkin (DG) scheme to simulate the two-fluid MHD equations for realistic charge to mass ratios.
Publications / Preprints or SAM-Reports
- Finite volume methods for the two-fluid MHD equations, H. Kumar, SAM report 2010-29.
- Entropy stable numerical schemes for two-fluid MHD equations, H. Kumar and S. Mishra, SAM report 2011-22.
Contacts
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