Speaker: Helen Yee
Title: Entropy Splitting and Numerical Dissipation.
Affiliation: NASA Ames Research Center.
Date: Friday, March 3.
Place and Time: Room 101 - Love Building, 3:35-4:35 pm.
Refreshments: Room 204 - Love Building, 3:00 pm.

Abstract. Due to some of the unique properties of the compressible Euler equations for a perfect gas, a special way to split the flow derivative, known as "entropy splitting", is possible. There are several potential desirable attributes and side benefits of the entropy splitting. They will be discussed. These include the effects on the nonlinear stability of central finite difference schemes especially for long time integrations in unsteady flows. Extensive numerical study on the vortex preservation capability of the splitting in conjunction with central schemes for long time integration will be presented. The effect of the non-conservative portion of the splitting in obtaining the correct shock location for high speed complex shock-turbulence interaction will be examined. Finally, the possibility of extending the method to other physical equations of state and other evolutionary equations are explored.