Time-Marching Method for Computations of High-Speed Compressible Flow on Structured and Unstructured Grid

The development of Computational Fluid Dynamics (CFD) compressible codes for 2D structured quadrilateral grid and 3D unstructured hexahedral grid is described. The high-speed flow in a nozzle blade cascade is predicted numerically by solving the 2D/3D Euler Equations in a coupled manner. The new finite volume CFD solvers employ second-order accurate central differencing scheme for spatial discretization and multi-stage Runge-Kutta technique for temporal integration with flow variables stored at the vertices. Artificial dissipations with pressure sensors are introduced to control solution stability and capture shock discontinuity. The predictions have been compared with experimental measurements and good agreement has been found.