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对原变量的Ｎ－Ｓ方程进行一阶时间离散，采用共轭梯度法解除压强－速度的耦合．对所得的一系列Ｌａｐｌａｃｅ方程、Ｐｏｓｓｉｏｎ方程和Ｈｅｌｍｈｏｔｚ方程均进行边界积分法求解，首次得到了粘性Ｎ－Ｓ方程的边界积分表示式．圆柱的定常、非定常尾迹计算结果表明了本文方法的有效性．
The first-order time dispersion of the original variable N-S equation is used, and the conjugate gradient method is used to release the pressure-velocity coupling. A series of Laplace, Possion and Helmhotz equations are solved by boundary integral method, and the boundary integral expression of viscous N-S equation is obtained for the first time. The steady and unsteady trajectory of the cylinder shows the effectiveness of the proposed method.