Coffee Break and Poster Session
Monday, July 27, 2009 - 10:00am - 11:00am
- Rarefaction wave interaction for the unsteady transonic small
Katarina Jegdic (University of Houston-Downtown)
We study a Riemann problem for the unsteady transonic small
disturbance equation that results in a diverging rarefaction problem. We
write the problem in self-similar coordinates and obtain a free boundary
value problem with equations that change type (hyperbolic-elliptic). We
summarize the main ideas and present the main features of the problem.
The flow in the hyperbolic part can be described as a solution of a
degenerate Goursat boundary problem, the interaction of the rarefaction
wave with the subsonic region is illustrated and the subsonic flow is
shown to satisfy a second order degenerate elliptic boundary problem
with mixed boundary conditions. This is joint work with Jun Chen and
Cleopatra Christoforou (University of Houston).