Integral Representation in the Hodograph Plane for Compressible flow Problems
Hsiao, George C.
Department of Mathematical Sciences
Compressible flow is considered in the hodograph plane. The fact that the equation for the stream function is linear there is exploited to derive a representation formula for the stream function, involving boundary data only, and a fundamental solution to the equation. For subsonic flow, an efficient algorithm for computation of the fundamental solution is also developed.