Speaker: Dr. Tom Gardiner, Astrophysics Dept., Princeton University
Title: A new CT-Godunov integration algorithm for ideal MHD
In recent years there has been an increased effort in constructing
high order Godunov-type algorithms for solving the ideal MHD system of
equations. This is motivated, in part, by their strong shock
capturing and conservation properties which make them ideally suited
for use in combination with adaptive mesh refinement. Such efforts,
however, have traditionally met with difficulty owing to the
divergence free constraint on the magnetic field.
Applying the method of Constrained Transport, we have constructed a second order accurate, conservative, unsplit, Godunov-type integration algorithm for MHD. In this talk I will describe the three basic elements of the integration algorithm: 1) the incorporation of MHD source terms in the PPM-type reconstruction procedure, 2) an upwind CT-algorithm for combining the Godunov fluxes to calculate the electric fields needed for CT and 3) the extension of the Corner Transport Upwind algorithm for MHD. I will present a variety of test calculations to demonstrate the accuracy and robustness of the integration algorithm, and highlight some problems to which it's currently being applied.
More details can be found at the following web page: http://www.astro.princeton.edu/~jstone/athena