579 citations · 748 across the 8 of their papers we have counts for
8 papers
Principal Decomposition of Velocity Gradient Tensor in the Cartesian Coordinates
Chaoqun Liu, Yifei Yu, Yisheng Gao
Traditional Cauchy-Stokes decomposition of velocity gradient tensor gives a symmetric and an anti-symmetric subtensors which are called the strain-rate and vorticity tensors. There…
Liutex-based Modified Navier-Stokes Equation
Yifei Yu, Jianming Liu, Yonghua Yan +3
The Navier-Stokes (NS) partial differential equations, as the governing equation of fluid dynamics, are based on particles with zero volume. In such a condition, conservation law o…
Letter: Mathematical Foundation of Turbulence Generation-Symmetric to Asymmetric Liutex/Rortex
Jian-ming Liu, Yue Deng, Yi-sheng Gao +2
Vortex has been considered as the building block and muscle of turbulence for long time. A new physical quantity called Liutex (previously named Rortex) has been defined as the rig…
A Liutex based definition of vortex axis line
Chaoqun Liu, Yi-sheng Gao, Jian-ming Liu +1
Eulerian local region-type vortex identification criteria, including the criterion, the criterion and the criterion et al., are widely used for vortex identification due to the sim…
Physical meaning of vorticity based on the RS decomposition and an explicit formula for the Liutex vector
Yiqian Wang, Yisheng Gao, Chaoqun Liu
In the present study, the physical meaning of vorticity is revisited based on the RS decomposition proposed by Liu et al. in the framework of Liutex (previously named Rortex), a vo…
Rortex and comparison with eigenvalue-based vortex identification criteria
Yisheng Gao, Chaoqun Liu
Most of the currently popular Eulerian vortex identification criteria, including the Q criterion, the Delta criterion and the Lambda_ci criterion, are based on the analysis of the…
Rortex A New Vortex Vector Definition and Vorticity Tensor and Vector Decompositions
Chaoqun Liu, Yisheng Gao, Shuling Tian +1
A vortex is intuitively recognized as the rotational/swirling motion of the fluids. However, an unambiguous and universally-accepted definition for vortex is yet to be achieved in…
A Definition of Vortex Vector and Vortex
Shuling Tian, Yisheng Gao, Xiangrui Dong +1
Vortex is ubiquitous in nature. However, there is not a consensus on the vortex definition in fluid dynamics. Lack of mathematical definition has caused considerable confusions in…