粘性不可压流体流动问题用直角坐标网格的贴体解法

Full Body Fitted Method with Cartesian Coordinates for Solving Incompressible Viscous Fluid Flow Problems

研究一种新的全贴体的求解粘性不可压流体流动问题的非结构化直角坐标网格方法.该方法在于利用直角坐标网格但通过在边界附近保留不规则控制体,使得算法是完全贴体的.这有别于目前流行的各种非结构化直角坐标网格方法.通过对两个典型流动问题的计算对该数值方法进行验证.对比结果表明,本方法计算的结果与精确解和STAR CD的结果在一定Re数和网格数时是很接近的,可以满足一定的精度要求,说明该数值计算方法是可行的.还对二维钝头体周围的流场进行了计算,计算的流场与STAR CD的结果相当吻和,说明该算法还可计算较复杂的流动现象.

A novel body fitted numerical method with Cartesian coordinates for solving incompressible viscous fluid flow problems is studied. This method takes advantage of Cartesian coordinates and reserves irregular control volumes near boundaries, so this scheme is full body fitted method. It is different from all other Cartesian grid methods. To test the accuracy of this approach, it is applied to two benchmark cases. Agreement is found with analytical, numerical benchmark, and STAR-CD results. The flow field around a 2-D blunt body is simulated which is quite similar to that of STAR-CD. All these show that this method is validated and can also be used for simulating complex flow phenomena.