典型文献
Liutex based new fluid kinematics
文献摘要：
The traditional Cauchy-Stokes(C-S)decomposition states that the velocity gradient tensor can be decomposed into a symmetric tensor and an anti-symmetric tensor,namely the strain-rate tensor and the vorticity tensor.However,there are two problems with the C-S decomposition.One is that the anti-symmetric(vorticity)tensor cannot represent the fluid rotation or vortex.Another is that the symmetric(strain-rate)tensor cannot distinguish the stretching/compression and shear.Since vorticity cannot distinguish between the non-rotational shear and the rigid rotation,vorticity has been decomposed into a rigid rotation part called"Liutex"and an anti-symmetric shear in our previous work.A Liutex-based principal coordinate system has been proposed,and the corresponding velocity gradient tensor decomposition,called the principal decomposition,is presented in this principal coordinate system,which results in:(1)a Liutex tensor that represents rigid rotation,(2)a tensor that represents pure shear and(3)a tensor that represents stretching/compression.However,each point has its own principal coordinate system,which implies that the principal decomposition is performed in different principal coordinate systems,not the original(global)coordinate system.To address this issue,the principal decomposition in the original coordinate system is derived in this paper,and,therefore,provides a new kinematic approach to study the local rigid rotation,pure shear,and stretching/compression.The principal decomposition is unique,Galilean invariant and has clear physical meaning.The new velocity gradient tensor decomposition could become a foundation for new fluid kinematics.
文献关键词：
中图分类号：
作者姓名：
Chaoqun Liu;Yifei Yu;Yi-sheng Gao
作者机构：
Department of Mathematics,University of Texas at Arlington,Arlington,Texas 76019,USA;College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China
文献出处：
引用格式：
[1]Chaoqun Liu;Yifei Yu;Yi-sheng Gao-.Liutex based new fluid kinematics)[J].水动力学研究与进展B辑,2022(03):355-371
A类：
Galilean
B类：
Liutex,new,fluid,kinematics,traditional,Cauchy,Stokes,decomposition,states,that,velocity,gradient,tensor,decomposed,into,symmetric,anti,namely,strain,rate,vorticity,However,are,two,problems,One,cannot,vortex,Another,distinguish,stretching,compression,shear,Since,between,rotational,rigid,has,been,part,called,our,previous,work,principal,coordinate,proposed,corresponding,presented,this,which,results,represents,pure,each,point,its,own,implies,performed,different,systems,original,global,To,address,issue,derived,paper,therefore,provides,approach,study,local,unique,invariant,clear,physical,meaning,could,become,foundation
AB值：
0.369067
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