Abstract: 3D time-accurate Euler/Navier-Stocks equations for a cell with moving boundaries are established in a Cartesian framework. Based on the two-order Godunov scheme, numerical simulation methods on dynamic grids are established. To avoid grid motion induced error, the geometric conservation law (GCL) is satisfied numerically. The method is applied to simulate unsteady transonic flow about an oscillating airfoil (2-D) and an oscillating rigid rectangular wing (3-D). Computational results are in good agreement with the experimental data. The methods are effective and can be used to solve multi-body separate problems.

Key words: dynamic grids, moving boundary, Godunov method