跨音速翼型杂交问题的赝势函数变域变分有限元法  

Pseudo-potential variable-domain variational FEM for hybrid problem of transonic airfoil

作　　者：李孝伟[1] 刘高联[1] 

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072

出　　处：《水动力学研究与进展（A辑）》2005年第4期513-517,共5页Chinese Journal of Hydrodynamics

基　　金：国家自然科学基金资助重点项目(50136030);上海市重点学科建设资助项目

摘　　要：本文运用赝势函数变域变分有限元方法进行了跨音速翼型设计。赝势函数的引入既保留了势函数模型在求解方面的优越性,同时又是势函数对有旋流动的一个自然的、物理上相容、数学上求解简便的推广;变域变分是一种处理未知界面的独特工具,极适合于气动外形的设计求解。跨音速翼型设计的实例表明,本文方法是有旋流动翼型设计的有效工具。The variational of finite element method（FEM） using the pseudo-potential function is presented to design the airfoil shape of transonic rotational flows. The pseudo-potential function retains almost all the advantages of the potential function, while removing its restriction to flow potentiality and providing a new physically self-consistent and computationally simple flow model and allowing for the vorticity generated just behind shocks. The variable-domain variation is a specific tool of handling unknown boundaries and suitable for designing airfoil shape. The reasonable and satisfied result presented showed that the current method is effective and robust for designing airfoil shape of transonic rotational flows.

关 键 词：跨音速翼型 变域变分 有限元 赝势函数 

分 类 号：V211.412[航空宇航科学与技术—航空宇航推进理论与工程]