Integral representation in the hodograph plane of compressible flow

Erik B. Hansen, George C. Hsiao
2003 Quarterly of Applied Mathematics  
Compressible flow is considered in the hodograph plane. The linearity of the equation determining the stream function is exploited to derive a representation formula involving boundary data only, and a fundamental solution to the adjoint equation. For subsonic flow, an efficient algorithm for computing the fundamental solution is developed.
doi:10.1090/qam/1955224 fatcat:qig2b5oi5ngypdqi5jvy7ncvzq