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arXiv · 1709.09958

A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock

Yung-Sze Choi·Eun Heui Kim
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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.

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Yung-Sze Choi, Eun Heui Kim. 2017-09-25. A variational inequality formulation for transonic compressible steady potential flows: Radially symmetric transonic shock. https://arxiv.org/abs/1709.09958

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