Study Of The Navier-stokes Equation, Numerical Simulation And Turbulence Models

In this thesis a strategy for the generation of hexahedron structured viscous grid on three-dimensional configurations has been introduced, based on the method. We made the code to calculate the 3-D N-S equation using Runge-Kutta time stepping scheme, and viscous flows around M6 wing and F4 wing-body configuration are simulated to test the applicability of the code.Solving the elliptic grid generation together with an algebraic method , we generate 2-D grid along the meridian of the body used Higenstock source correct technical. and adjust them to be 3-D grid smoothly using an algebraic method. Though viscous grids around the geometries are generated. The advantage of the method is easy and it can keep the grid as rigid as possible in the near-wall regions.In order to simulate the flow field, 3-D N-S equations are solved using the cell-centered finite volume spatial discritization and four-stage Runge-kutta time stepping scheme on structured viscous mesh with standard convergence acceleration techniques such as local time stepping and implicit residual smoothing. In this paper, an correctional press sensor and anisotropy artificial viscosity was used to reduce the affect of the physical viscosity that traditional artificial viscosity do. We use the B-L and S-A turbulent model to simulate the viscous affect, and the two different result was compared in the end, Based on the above work, structured laminar solutions on the M6 wing and wing-body configuration have been achieved.The results of grid generation indicate that the gird generation approach is reasonable in handling three-dimensional configurations. The results of flow field computation are in good agreement with the experiments, which show that the numerical solution method is correct and robust.