3 papers
math.NA2025
An adaptive Hermite spectral method for the Boltzmann equation
Sihong Shao, Yanli Wang, Jie Wu
We propose an adaptive Hermite spectral method for the three-dimensional velocity space of the Boltzmann equation guided by a newly developed frequency indicator. For the homogeneo…
physics.flu-dyn2025
A general kinematic theory of fluid-element rotation and intrinsic vorticity decompositions
Tao Chen, Jie-Zhi Wu, Feng Mao +1
The present study proposes a general kinematic theory for fluid-element rotation and intrinsic vorticity decompositions within the context of vorticity and vortex dynamics. Both th…
physics.flu-dyn2024
Boundary sources of velocity gradient tensor and its invariants
Tao Chen, Jie-Zhi Wu, Tianshu Liu +1
The present work elucidates the boundary behaviors of the velocity gradient tensor () and its principal invariants () for compressible flow in…