A finite volume method is used to simulate the shock train flows in a generic two-dimensional constant area isolator. Isolator is an important components of Dual-Mode scramjet. The interaction between a normal shock wave and a boundary layer along a wall surface in isolator compressible flows causes a very complicated flow. The interaction region including a shock train and a mixing region in it is referred to as “pseudo-shock”. The finite volume method is used to solve the 2D Reynolds-averaged Navier-Stokes equation coupling the Baldwin-Lomax zero-equation turbulence model. In the numerical procedure, LUSGS method and TVD scheme are used. The numerical results simulate commendably the topology structure of the flows.