典型文献
Mathematical foundation of Liutex theory
文献摘要：
Liutex is a mathematical definition of vortex, which is called the third generation of vortex definition and identification. This paper introduces the mathematical foundation of the Liutex theoretical system including differences in definition and operations between tensor/vector and matrix. The right version of velocity gradient tensor matrix is given to correct the old version which has been widely distributed by many mathematics and fluid dynamics textbooks. A unique velocity gradient principal matrix is provided. The mathematical foundation for Liutex definition is given. The coordinate rotation ( Q- and P-rotation) for principal coordinate system and principal matrix is derived, which is the key issue of the new fluid kinematics. The divergence of velocity gradient tensor is given in different forms which may be beneficial in developing new governing equations for fluid dynamics.
文献关键词：
中图分类号：
作者姓名：
Chaoqun Liu;Yifei Yu
作者机构：
Department of Mathematics,University of Texas at Arlington,Arlington,Texas 76019,USA
文献出处：
引用格式：
[1]Chaoqun Liu;Yifei Yu-.Mathematical foundation of Liutex theory)[J].水动力学研究与进展B辑,2022(06):981-993
A类：
B类：
Mathematical,foundation,Liutex,theory,mathematical,definition,vortex,which,called,third,generation,identification,This,paper,introduces,theoretical,system,including,differences,operations,between,tensor,vector,matrix,right,version,velocity,gradient,given,correct,old,has,been,widely,distributed,by,many,mathematics,fluid,dynamics,textbooks,unique,principal,provided,coordinate,rotation,derived,key,issue,new,kinematics,divergence,different,forms,may,beneficial,developing,governing,equations
AB值：
0.511941
相似文献
机标中图分类号，由域田数据科技根据网络公开资料自动分析生成，仅供学习研究参考。
