**Speaker:** Dr. Tom Gardiner, Astrophysics Dept., Princeton University

**Title:** A new CT-Godunov integration algorithm for ideal MHD

**Abstract:**

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

Last modified: Mon Dec 13 17:23:08 EST 2004