Mathematical foundation of Liutex theory
作者机构:Department of MathematicsUniversity of Texas at ArlingtonArlingtonTexas76019USA
出 版 物:《Journal of Hydrodynamics》 (水动力学研究与进展B辑(英文版))
年 卷 期:2022年第34卷第6期
页 面:981-993页
核心收录:
学科分类:07[理学] 0805[工学-材料科学与工程(可授工学、理学学位)] 0802[工学-机械工程] 0701[理学-数学] 0702[理学-物理学] 0812[工学-计算机科学与技术(可授工学、理学学位)] 0801[工学-力学(可授工学、理学学位)] 070101[理学-基础数学]
基 金:The current development of Liutex theory and application is under support by US National Science Foundation(Grant No.2300052) the University of Texas at Arlington for providing financial support
主 题:Liutex mathematical foundation tensor matrix velocity gradient fluid dynamics
摘 要:Liutex is a mathematical definition of vortex,which is called the third generation of vortex definition and *** paper introduces the mathematical foundation of the Liutex theoretical system including differences in definition and operations between tensor/vector and *** 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 *** mathematical foundation for Liutex definition is *** coordinate rotation(Q-and P-rotation)for principal coordinate system and principal matrix is derived,which is the key issue of the new fluid *** divergence of velocity gradient tensor is given in different forms which may be beneficial in developing new governing equations for fluid dynamics.