Uniform decomposition of velocity gradient tensor

作     者：Chenxi Ma Chaoqun Liu Chenxi Ma;Chaoqun Liu

作者机构：Department of MathematicsUniversity of Texas at ArlingtonArlingtonTXUSA 

出 版 物：《Journal of Hydrodynamics》 (水动力学研究与进展B辑（英文版）)

年 卷 期：2024年第36卷第1期

页      面：24-34页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The DNS data used in this paper is computed by Texas Advanced Computing Center (TACC) 

主　　题：Velocity gradient Liutex resistance fluid kinematics 

摘      要：In this paper,the principal decomposition of the velocity gradient tensor[∇v]is discussed in 3 cases based on the discriminant∆:∆0 with 3 distinct real eigen values,and∆=0 with 1 or 2 distinct real eigen *** velocity gradient tensor can also be classified as rotation point,which can be decomposed into three parts,i.e.,rotation[R],shear[S]and stretching/compression[SC],and non-rotation point,we defined a new resistance term[L],and the tensor can be decomposed into three parts,i.e.,resistance[L],shear[S]and stretching/compression[SC].Example matric are also displayed to demonstrate the new *** of principal decomposition between 3 different cases,and between Resistance and Liutex will also be discussed.