Applied Math/PDE Seminar: Christian Klingenberg (Würzburg), 'New numerical solvers for Hydro- and Magnetohydrodynamics using the relaxation approach'

Event Date: 

Tuesday, October 30, 2012 - 3:00pm to 4:00pm

Event Location: 

  • 6617 South Hall

Event Contact: 

Carlos Garcia-Cervera

(Host: C. Garcia-Cervera)

"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. This is joint work with F. Bouchut and K. Waagan."