Research Projects
High-order schemes for the two-fluid MHD equations
Principal investigators
- Prof. Dr. Siddhartha Mishra, Seminar for Applied Mathematics, ETH Zurich
- Prof. Dr. Harish Kumar, Indian Institute of Technology, Delhi
Start date: 01.10.2009
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
- Ch. Schwab. Two-scale FEM for homogenization problems, Lecture Notes in Computational Science and Engineering, 19 (2002), pp. 91-107
- H. Kumar and S. Mishra. Entropy Stable Numerical Schemes for Two-Fluid Plasma Equations, Journal of Scientific Computing, 52/2 (2012), pp. 401-425, SAM Report 2011-22 , doicall_made