中文摘要：

发展了一种不可压N—S方程的有限体积边界嵌入解法并将其推广到求解三维复杂几何外形的动边界绕流问题。数值计算中，所有网格点分为解域内部的计算点和边界嵌入点以及不参与计算的解域外的点。通过与无滑移边界条件和当地简化动量方程相关的物面法向上的二次多项式近似，确定边界嵌入点上的流动变量值。当模拟包含运动边界的流场时，网格可以是固定的，无需进行网格的实时更新，计算效率获得了提高。采用Galer—kin有限体积近似进行控制方程的空间离散。为验证该方法的可靠性，模拟了圆柱、圆球等固定物体的绕流以及自由来流中垂直振荡圆柱和游动的类鱼体等运动物体的绕流，并将计算结果与参考文献的结果进行了比较。

英文摘要：

A finite volume immersed boundary method for incom is developed and extended to solve three-dimensional geometrica pressible Navier-Stokes （N-S） equations lly complex moving-boundary problems. All mesh nodes are classified into the three categories： internal computed points, immersed boundary points and external points that are blanked out of computation. The flow-variables at an immersed boundary point are evaluated via an approximation of quadratic polynomial in normal direction to wall, which is associated with no-slip boundary condition and the simplified local momentum equation. In the simulation of flow-field containing moving boundaries, the grid can be fixed and there is no need to up- date it. Therefore, the computational efficiency can be improved significantly. Spatial discretization is a- chieved with the help of Galerkin finite volume approximation. In order to validate the present method, two groups of flow phenomena are simulated. （1） flows over a stationary circular cylinder and a station- ary sphere; （2） a transversely oscillating cylinder in uniform flow and a fish-like swimming. The predic- tions show good agreement with the reference results.