Wing Numerical Optimization And Efficient Aerodynamic Design Calculation Method

Aerodynamic optimization design technology based on CFD becomes a very active object in the CFD field. Many optimization methods had been introduced in aerodynamic optimization design. For the practical application to the engineering problems, the computation efficiency of solving the flow equation must be significantly improved besides of the accuracy of solver and the accuracy of methods itself. Most of the aerodynamic optimization design technologies need to solve the Euler/Navier-Stokes equations by hundreds times, which limits the development of the design method and its application. Two efficient methods, multigrid method and parallel computation, were studied in present work. The main aspects of this dissertation are as follows:1. The 2D and 3D multigrid methods for compressible Euler and Navier-Stokes equations were studied. The Jameson's finite volume method and Runge-Kutta time stepping scheme were employed to obtain a convergent steady solution on structural grid. Algebraic Baldwin-Lomax model was applied to simulate turbulent flows2. The effect of two prolongation operators and the V/W type cycles on the multigrid method were analyzed. And an effective multigrid formulation was presented;3. The 3D Parallel computing code for solving Navier-Stokes equations based on MPI was developed; and the Parallel computing efficiency was studied.The numerical examples show that the current multigrid method is efficient and robust for solving of both 2D and 3D flow equations in inviscid and viscous flows. The parallel-computation example also indicated a high parallel computing efficiency was achieved.