摘要
通过对一种能解决跨声速有旋流场的数学模型——赝势函数-涡势函数数学模型中的涡势函数进行详细的变分分析,并进一步对涡势函数原方程的数学改造,推导出新型数学模型中涡势函数的几种不同的变分原理,并提出对涡势函数边界条件的处理方法。
The variational analysis of the Pseudo-potential function-vortex-potential function model,a new mathematical model, was developed and by which the flow field with transonic speed and curl was decided, and different sorts of the variational principle for vortex potential function were established by transforming the original equation for vortex-function, the boundary conditions for vortex-potential function was raised.
出处
《应用数学和力学》
EI
CSCD
北大核心
2004年第1期9-13,共5页
Applied Mathematics and Mechanics
基金
博士基金(B0005)
关键词
赝势函数
涡势函数
旋度
拟变分原理
边界条件
pseudo-potential function
vortex-potential function
curl
quasi-variational principle
boundary condition
