流函数-涡量法的二维方腔流数值模拟

The Stream Function-Vorticity Method Used in Two-Dimensional Driven Square Cavity Flow Numerical Simulation

采用流函数-涡量法对粘性不可压缩流体的二维瞬态流动进行模拟计算。对雷诺数为1000的方腔驱动流动进行计算,所得流线图与原始变量法进行对比,基本相似,说明这种方法具有可行性;与其他学者用流函数-涡量法计算的方腔流的结果对比,发现不同的驱动速度将引起漩涡的很大变化。研究过程中发现,壁面涡量的确定方法非常重要,处理不当会引起计算结果发散。

The stream function-vorticity method has been used to simulate two-dimensional transient state of incompressible viscous flow.When the Reynolds number is 1000, the driven square cavity flow has been computed to compare the streamline patterns with the primitive variables numerical method,two methods result was similar illuminating the feasibility of the method used. Compared with the result of other scholar using the same method, huge change of eddy was found to be conduced by different driven velocity.The study found out the mural vorticity to be very important and to have to be wellhandled otherwise the result would not be of convergence.