二维层流边界层流动方程解的一个数值探讨

A Numerical Approach to the Solution of Two Dimensional Laminar Boundary Layer Equations

摘要: 本文讨论了拟线性化方法在求解定常二维层流边界层方程中的应用,并采用有限差分将Falkner-Skan方程的边值问题化为数值方程计算,避免了使用传统的初值方法求解该方程的困难。数值比较表明,拟线性化数值解的结果和文献中的Evans准确解是相当满意地一致。

Abstract: This paper discussed the application of Quasi-Linearized Method in solving the two dimensional steady laminar boundary layer equations.To avoid the difficulty caused due the use of the initial value method,the boundary value problem of Falkner-Skan equation was reduced to the numerical equations by means of the finite difference method.The results obtained by the present method were compared with the accurate solution by Evans.It was shown that both results are satisfactorily consistent.