Application of Fixed Point Method to Obtain a Semi-Analytical Solution of Stagnation Flow

摘要：

　　In this paper,a semi-analytical solution of stagnation flow is obtained by a newly developed method,namely the fixed point method (FPM),which is based on the Banach fixed point theorem in functional analysis.The present semi-analytical solution is uniformly valid in the whole region without using matching procedure,which is different from the existing perturbation solutions.Moreover,the asymptotic property of stagnation flow is automatically and correctly predicted by the present result.The comparison between the present and numerical result is carried out,which reveals that FPM is an accurate and convenient method for nonlinear problems,and therefore could be applied to handle other flows.

作者: X.GUO D.XU

作者单位: Xian Research Institute of China Coal Technology & Engineering Group Corp., Xian 710054, China State Key Laboratory for Strength and Vibration of Mechanical Structures, School of Aerospace, Xian

会议类型: 国际会议

会议名称: Sixth International Conference on Nonlinear Mechanics(第六届国际非线性力学会议)(ICNM-VI)

会议地点: 上海

会议语种:英文

页码: 249-252

在线出版日期: 2013-08-01（万方平台首次上网日期，不代表论文的发表时间）