A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock
Analysis of PDEs
2017-09-29 v1
Abstract
We establish a variational inequality formulation that captures the transonic shock for a steady compressible potential flow. Its critical point satisfies the transonic equation; moreover the associated jump conditions across its free boundary match the usual Rankine-Hugoniot jump conditions for a shock. By means of example we validate our formulation, and establish the necessary and sufficient condition for the existence of a transonic shock. Numerical results are also discussed.
Keywords
Cite
@article{arxiv.1709.09958,
title = {A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock},
author = {Yung-Sze Choi and Eun Heui Kim},
journal= {arXiv preprint arXiv:1709.09958},
year = {2017}
}