Project Details
Projekt
Logically rectangular grid methods for the simulation of compressible MHD equations in circular and spherical domains
Applicant
Professorin Dr. Christiane Helzel
Subject Area
Astrophysics and Astronomy
Term
from 2008 to 2016
Project identifier
Deutsche Forschungsgemeinschaft (DFG) - Project number 60352348
The ideal magnetohydrodynamic (MHD) equations are important in modeling phenomena in a wide range of applications, including solar physics, laboratory plasmas and astrophysical fluid flow. Here we are concerned with the construction of numerical methods for these equations. They have to master the challenge of producing approximations that remain accurate near shock waves and that satisfy a divergence free constraint of the magnetic field.This project focuses on the development of numerical methods for the MHD equations in circular and spherical domains which are of interest in solar physics, e.g. for the simulation of coronal mass ejection (CME). We are constructing mapped grid methods which are based on mappings of a single Cartesian grid to the sphere or other spherical domains. These mappings have recently been introduced in the context of finite volume methods for hyperbolic problems and are now being applied to the MHD equations.
DFG Programme
Research Units
