通过对二维不可压缩N-S方程的涡量-流函数方程组消去涡量而得到仅以流函数为求解变量的控制方程,从而使不可压N-S方程的求解个数减到最少.求解方法采用本文提出的二阶精度的九节点紧致差分格式,因此无须对靠近边界的网格点作特殊处理.为了加快迭代收敛速度,采用多重网格加速技术.数值实验结果验证了方法的精确性和可靠性.
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