PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Victor Nistor, Jinchao Xu, Stephanie Zerby, Xiantao Li, Yuxi Zheng, Hope Shaffer.

Title:New numerical solvers for Hydro- and Magnetohydrodynamics using the relaxation approach
Seminar:Computational and Applied Mathematics Colloquium
Speaker:Christian Klingenberg, Wuerzburg University, Germany
Abstract:
We present a relaxation system for the Euler equations and for ideal MHD, from which one may derive approximate Riemann solvers. The solvers satisfy a discrete entropy inequality, and preserve positivity of density and pressure under a subcharacteristic condition. Next we consider the practical implementation, and derive explicit wave speed estimates satisfying the stability conditions. We put this into an astrophysical application by comparing our new positive and entropy stable approximate Riemann solver with state-of the-art algorithms for astrophysical fluid dynamics. We show some of the astrophysics applications that have been computed with our method. This is joint work with F. Bouchut and K. Waagan.

Room Reservation Information

Room Number:MB106
Date:10 / 19 / 2012
Time:03:35pm - 04:25pm