Sonic-point capturingA prototype scheme that produces perfectly smooth transonic solutions to nozzle-flow problems is derived and tested. The basic upwind scheme is described as well as satisfying the entropy condition, treatment of the source term, and numerical verification. The analysis yielded a numerical flux function for use near a sonic point, which is based on a full model of a transonic expansion wave, and a matched treatment for the source term.
Document ID
19890054421
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Van Leer, Bram (Michigan Univ. Ann Arbor, MI, United States)
Lee, Wen-Tzong (Michigan Univ. Ann Arbor, MI, United States)
Powell, Kenneth G. (Michigan, University Ann Arbor, United States)