Special Session 143: 

A variational inequality formulation for transonic compressible steady potential flows

Eun Heui Kim
California State University Long Beach
USA
Co-Author(s):    Yung-Sze Choi
Abstract:
We present a variational inequality formulation for a steady compressible potential flow. Its critical point satisfies the transonic equation and the associated jump conditions across its free boundary match the usual Rankine-Hugoniot jump conditions for a transonic shock. By means of example we validate our formulation, and establish the necessary and sufficient condition for the existence of a transonic shock.