针对二维边界层方程,提出了分析积分迭代法。首先将该方法应用于Blasius方程和Falkner-Skan方程的求解,数值计算结果稳定,计算精度高;然后对外部有势流不能达到自相似要求、必须二维求解的二维层流边界层问题,在分析积分迭代法中加上计算力学的松弛迭代法,形成了一套有效的算法。数值结果表明该方法用于层流边界层的计算是很有效的。
An new analysis integration iterative method is proposed with the two-dimensional boundary layer equations.Firstly,the method is applied to get to the solutions of Blasius equation and Falkner-Skan equation,and the results are stable and accurate.Then for the two-dimensional boundary layer problem,which the outer flow can not be self-similarity,we use the analysis integration iterative method,together with relaxation iterative method,and formulate an effective algorithm.The results show it is very useful to the laminar boundary layer problem.