@Article{AAMM-2-6,
author = {Jin, Changqiu and Xu, Kun and Songze, Chen},
title = {A Three Dimensional Gas-Kinetic Scheme with Moving Mesh for Low-Speed Viscous Flow Computations},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2010},
volume = {2},
number = {6},
pages = {746--762},
abstract = {<p style="text-align: justify;">The paper introduces the gas-kinetic scheme for three-dimensional 
(3D) flow simulation. First, under a unified coordinate 
transformation, the 3D gas-kinetic BGK equation is transformed into
a computational space with arbitrary mesh moving velocity. Second,
based on the Chapman-Enskog expansion of the kinetic equation, a
local solution of gas distribution function is constructed and used
in a finite volume scheme. As a result, a Navier-Stokes flow solver
is developed for the low speed flow computation with dynamical mesh
movement. Several test cases are used to validate the 3D gas-kinetic
method. The first example is a 3D cavity flow with up-moving
boundary at Reynolds number $3200$, where the periodic solutions are
compared with the experimental measurements. Then, the flow
evolution inside a rotating 3D cavity is simulated with the moving
mesh method, where the solution differences between 2D and 3D
simulation are explicitly presented. Finally, the scheme is applied
to the falling plate study, where the unsteady plate tumbling motion
inside water tank has been studied and compared with the
experimental measurements.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.09-m09112},
url = {https://global-sci.com/article/73666/a-three-dimensional-gas-kinetic-scheme-with-moving-mesh-for-low-speed-viscous-flow-computations}
}