N-S方程的拟序扰动序列与改善的渐近展开匹配法  

Series Perturbations Approximate Solutions to N-S Equations and Modification to Asymptotic Expansion Matched Method

作　　者：李大鸣[1] 张红萍[1] 高永祥[2] 

机构地区：[1]天津大学建筑工程学院,天津300072 [2]天津大学机械工程学院,天津300072

出　　处：《应用数学和力学》2002年第8期855-863,共9页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目 (2 96 76 0 30 )

摘　　要：提出了以拟序扰动序列逼近N_S方程定解问题渐近解的一种方法·　对N_S方程及其边界条件的渐近拟序扰动序列解进行了讨论 ,并应用此方法对球坐标系中的圆球绕流进行求解 ,改善了渐近展开匹配方法 ,使匹配函数更容易确定·　改善后的阻力曲线与实测资料相比在雷诺数小于等于 4× 10 4 以前完全吻合·A method that series perturbations approximate solutions to N_S equations with boundary conditions was discussed and adopted. Then the method was proved in which the asymptotic solutions of viscous fluid flow past a sphere were deducted. By the ameliorative asymptotic expansion matched method, the matched functions are determined easily and the ameliorative curve of drag coefficient is coincident well with measured data in the case that Reynolds number is less than or equal to 40 000.

关 键 词：渐近展开匹配法 拟序扰动 N-S方程 圆球绕流 

分 类 号：O29[理学—应用数学] TB126[理学—数学]