二维不可压缩平板边界层的紧致有限差分法

Compact finite difference method of two dimensional incompressible boundary layer on flat plate

针对二维不可压缩平板边界层N-S扰动方程,采用高精度紧致有限差分格式,应用空间模式,直接数值模拟了二维不稳定T-S波传播的过程。该算法的时间离散采用三阶精度混合显隐分裂格式,空间离散采用高精度紧致有限差分逼近。法向采用非等距网格方法,出口边界条件采用嵌边函数法。实例验证,该方法计算结果与流动稳定性分析的结果一致。

Aiming at the N-S disturber equation of 2D incompressible boundary layer on flat plate, a high precision compact finite difference method is proposed, which applied the spatial model. The process of 2D instability T-S wave transmitting is simulated by DNS. In this method, the third order precision mixed explicit-implicit scheme is employed for the time integration, and the space dlscretization is implemented by the high precision compact finite difference. The method of non-uniform meshes is applied in normal direction, and the fringe method is applied as outflow boundary condition. The example reveals that the results are in good agreement with the theoretic data.