papers

Publications (17)

physics.flu-dyn2022

Boundary vorticity dynamics of two-phase viscous flow

Tao Chen, Tianshu Liu

From the Navier-Stokes-Korteweg (NSK) equations, the exact relations between the fundamental surface physical quantities for two-phase viscous flow with diffuse interface are deriv…

hep-th2020

Correspondences among CFTs with different W-algebra symmetry

Thomas Creutzig, Naoki Genra, Yasuaki Hikida +1

W-algebras are constructed via quantum Hamiltonian reduction associated with a Lie algebra and an -embedding into . We derive corresp…

physics.flu-dyn2026

Quadruple decomposition of boundary vorticity flux

Tao Chen, Tianshu Liu

First introduced by Lighthill in 1963 for two-dimensional flows and later generalized by Jie-Zhi Wu to three-dimensional scenarios since 1986, the boundary vorticity flux (BVF) is…

physics.flu-dyn2016

Optical-flow-based background-oriented schlieren technique for measuring a laser-induced underwater shock wave

Keisuke Hayasaka, Yoshiyuki Tagawa, Tianshu Liu +1

The background-oriented schlieren (BOS) technique with the physics-based optical flow method (OF-BOS) is developed for measuring the pressure field of a laser-induced underwater sh…

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…

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…