A VARIATIONAL INEQUALITY FORMULATION FOR TRANSONIC COMPRESSIBLE STEADY POTENTIAL FLOWS: RADIALLY SYMMETRIC TRANSONIC SHOCK

作者：Choi Yung Sze^*; Kim Eun Heui

来源：SIAM Journal on Applied Mathematics, 2018, 78(1): 571-590.

DOI：10.1137/17M1123298

• variational inequality
• steady potential flow
• transonic shock
• conservation laws

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.

• 出版日期2018