模拟给定压强边界流动的HSMAC方法

采用HSMAC(Highly Simplified Marker And Cell,HSMAC)数值模拟方法对物理模型给定进出口压力边界的流体问题进行数值模拟研究.对压力边界的处理有两种方法.第一种方法是采用线性外推来联系物理模型内部区域与边界压力关系的.第二种方法是通过给定边界压力解关于边界速度的动量方程、质量守恒方程来求出边界速度从而进行计算.通过两种不同的方法解得的结果不同.第一种方法得到一个流体从非充分发展到充分发展的流场,但第二种方法流体是完全充分发展的流场.进一步分析表明,第一种方法适合于发展段流动的计算,第二种方法适合于充分发展段流动的计算.

HSMAC Methods for Simulation of Given Pressure Boundary Flow

The HSMAC （Highly Simplified Marker and Cell） numerical simulation method was used to research fluid flow on given pressure boundaries of flow inlet and outlet. There are mainly two methods to treat pressure boundary conditions. The first is to use the liner extrapolation of the pressure to transfer the boundary conditions to the inner region of fluid flow. The second is to use the momentum equation and mass conservation equation to obtain the velocity on the boundary where the pressure is prescribed. The results obtained by the two methods were different. By the first an approximately develo ping flow field near the inlet boundary was obtained,but by the second a fully developed flow field was ob rained. Further analysis shows that the first method applies to the developing fluid flow, and the second method applies to the fully developed fluid flow.