Sports Wing Flow Field Euler Equation

The purpose of this dissertation is to calculate the unsteady flow around the moving wing by solving the three dimensions unsteady Euler' equations. As the computational results are in good agreement with experimental data, the method given in present dissertation is correct and reliable.The main aspects of this dissertation are as follows:1. The description of moving grid-strategy used in the calculation is described. Based on the transfmite interpolation, The O-H type grids around the moving wing are generated. The calculated results show that the moving grid-strategy is feasible and effective.2. The governing equations of the unsteady flow Euler equations for moving wing been derived in this dissertation. The calculation of the unsteady flow around the moving wing is carried out. Because of the unsteady motion of the wing, the governing equations are recast in absolute frame, but the flux is calculated in the relative frame. Based on the solution of Euler equations using an explicit time stepping scheme, a code with an implicit time discretization scheme using dual-time stepping method for calculation of unsteady flow is developed.3. The solution of unsteady flow employs a finite-volume method and 5-step Rung-Kutta scheme. The technique of artificial dissipation, enthalpy damping and implicit residual smoothing are used to increase the convergence rate. In dealing with deforming grids as the wing moves, care need to exercise such that space conservation law is satisfied. The calculated results are in good agreement with the experimental data or previous computational results.