摘要
推导了可压缩流动旋涡动力学基本方程，并分析了其基本性质。如同不可压流动，在可压缩流动中旋涡同样具有场与物质两重特征。得出了可压缩流中的旋涡诱导速度公式，对Ｂｉｏｔ－Ｓａｖａｒｔ方程进行了可压缩修正。基于Ｌａｇｒａｎｇｉａｎ框架下的粒子方法，求解可压缩流中的胀量项，从而用离散涡模型求解了非定常、不稳定、可压缩流场。数值实验验证了提议的计算方法有效性。并分析了可压缩流动中旋涡运动的特征，与不可压流动的差别。
The Vortex Dynamics Equation is developed for compressible flow and its characteristics are analyzed. As in the incompressible flow, the Field and Matter Bicharacteristics of Vortex also have been demonstrated. The solution for the velocity induced by the vortices is formulated and used to correct the Blot-Savart Equation. The Discrete Vortex Method for compressible flow is then proposed, in which the dilation term is solved by the Particle Method within the Lagrangian framework. As a numerical validation, the compressible flow past a cylinder is simulated. Based on the results the characteristics of the vortices in compressible flow are analyzed.
出处
《工程热物理学报》
EI
CAS
CSCD
北大核心
2001年第2期163-166,共4页
Journal of Engineering Thermophysics
基金
国家自然科学基金资助项目!(No.59876023)
关键词
可压缩流动
离散涡方法
动力学
compressible flow
vortex
discrete vortex method
