摘要
研究了粘性流体绕流楔型物体的Falkner-Skan边界层方程求解问题。利用Adomian拆分方法,通过引入Crocco变量变换将无穷区间的边界值问题转为初值问题并利用Padé逼近技巧确定初值,给出了一种有效的解析分解方法。进一步,本文设计了一种数值解法,将本文得到的近似解析解及数值结果与早期研究者Hartree等人的结果进行了比较,证明了本文提出的解法的有效性和可靠性。
The Falkner-Skan boundary layer equation is reduced to a nonlinear boundary value problem when Crocco variables transformation is introduced. The approximate analytical solutions are presented by using Adomian decomposition method. Furthermore, a numerical method is designed to give the numerical results to the equation and a comparison is made with Hartree＇s result. The reliability and efficiency of solution are verified by the numerical results in the literature in close agreement.
出处
《计算力学学报》
EI
CAS
CSCD
北大核心
2008年第4期506-510,共5页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金(50476083)资助项目
