INTERFACE TREATMENT OF A THREE-DIMENSIONAL HYBRID INVISCID/VISCOUS FLOW PROBLEM

Abstract

In Ref. 13, an interface treatment for two-dimensional hybrid inviscid/viscous flow problem has been discussed and the linear well-posedness is proved. The interface treatment is uniformly valid for problems with smooth and discontinuous solutions at the interface. It satisfies the requirement of conservation and nonlinear uniqueness for cases where the interface coincides with a shock. In this paper we extend the results to three-dimensional problems. For smooth solutions, the interface conditions are exactly the same as the Gastaldi and Quarteroni interface condition based on variational analysis. We shall prove that the three-dimensional interface problem with the Gastaldi and Quarteroni interface condition is linearly well-posed for gas dynamic equations.