The authors are thankful for the support by the UTA Department of Mathematics which houses the UTA Vortex and Turbulence Research Team.The authors are also grateful to Texas Advanced Computing Center(TACC)for providing computation time.The DNSUTA code was released by Chaoqun Liu in 2009 and the Liutex code was released by Chaoqun Liu in 2018 which can be downloaded from the UTA web site at https://www.uta.edu/math/cnsm/public_html/cnsm/cnsm.html.
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.Ho...
Helmholtz velocity decomposition and Cauchy-Stokes tensor decomposition have been widely accepted as the foundation of fluid kinematics for a long time.However,there are some problems with these decompositions which c...
supported by the Ministry of Industry and Infor-mation Technology of China(Grant No.[2012]533);the Chinese Government Key Research Knowledge-based Ship Design Hyper-Integrated Platform(Grant No.201335)
The parametric rolling(PR) in the head or following waves has been considered as one of the main stability failure modes in the development of the 2nd generation Intact Stability criterion by the International Marit...
the National Natural Science Foundation of China(Grant No: 10272096)
A numerical study was conducted for the fully developed laminar flow in rotating curved elliptical pipe. Due to the rotation, the Coriolis force can also contribute to the secondary flow. The interaction of rotation a...
The 3-D turbulent flows in a valve pipe were described by the incompressibleReynolds-averaged Navier-Stokes equations with an RNG k-ε turbulence model. With the finite volumemethod and a body-fitted coordinate system...
In this paper a three-dimensional turbulence model equation with irregular domain and variable density of incompressible flow in general curvilinear coordinates is developed by the tensor analysis. The equations can b...