A hybrid grid method to solve the Navier-Stokes equations is applied to three-dimensional flowfields of crossing shock wave/boundary layer interaction caused by asymmetric double fin. The numerical method on hybrid unstructured grid is developed using a finite volume cell vertex scheme and the LU-SGS implicit time integration algorithm. Two kinds of one-equation turbulence models are implemented and evaluated for their accuracy by comparing with experiments and structured grid computations. The present numerical method is also applied to an inside flowfield of a real scramjet engine inlet configuration to demonstrate the capability of the method.