摘要
本文以文献［３］所得正命题变分原理为基础，通过对边界项进行变域变分的详细分析，构造出了未知壁面的自然边界条件，推导出了求解反命题的变域变分原理，这些工作为采用有限元求解气动反命题奠定了完密的数学基础。
On the basis of the variational principles for direct problem in Ref.[3], we extend the results of Ref.[3] to the inverse problem of 2-D transonic rotational flow. By applying the variational theory with variable-domain, all boundary conditions including those on the unknown walls are converted into natural ones. The present work establishes a firm mathematical basis for solving the aerodynamic inverse problem by finite elements.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
2000年第2期166-169,共4页
Journal of Engineering Thermophysics
基金
国家自然科学基金!59876017
关键词
反命题
变分原理
有旋流动
赝势函数
跨声速流动
inverse problem
variational principle
rotational flow, pseudo-potential function
