@Article{CiCP-14-328,
author = {J. G. Zheng, B. C. Khoo and Z. M. Hu},
title = {Simulation of Wave-Flow-Cavitation Interaction Using a Compressible Homogenous Flow Method},
journal = {Communications in Computational Physics},
year = {2014},
volume = {14},
number = {2},
pages = {328--354},
abstract = {<p style="text-align: justify;">A numerical method based on a homogeneous single-phase flow model is
presented to simulate the interaction between pressure wave and flow cavitation. To
account for compressibility effects of liquid water, cavitating flow is assumed to be
compressible and governed by time-dependent Euler equations with proper equation
of state (EOS). The isentropic one-fluid formulation is employed to model the cavitation inception and evolution, while pure liquid phase is modeled by Tait equation
of state. Because of large stiffness of Tait EOS and great variation of sound speed in
flow field, some of conventional compressible gasdynamics solvers are unstable and
even not applicable when extended to calculation of flow cavitation. To overcome
the difficulties, a Godunov-type, cell-centered finite volume method is generalized to
numerically integrate the governing equations on triangular mesh. The boundary is
treated specially to ensure stability of the approach. The method proves to be stable,
robust, accurate, time-efficient and oscillation-free.<br/>Novel numerical experiments are designed to investigate unsteady dynamics of
the cavitating flow impacted by pressure wave, which is of great interest in engineering applications but has not been studied systematically so far. Numerical simulation
indicates that cavity over cylinder can be induced to collapse if the object is accelerated suddenly and extremely high pressure pulse results almost instantaneously. This,
however, may be avoided by changing the traveling speed smoothly. The accompanying huge pressure increase may damage underwater devices. However, cavity formed
at relatively high upstream speed may be less distorted or affected by shock wave and
can recover fully from the initial deformation. It is observed that the cavitating flow
starting from a higher freestream velocity is more stable and more resilient with respect to perturbation than the flow with lower background speed. These findings may
shed some light on how to control cavitation development to avoid possible damage
to operating devices.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.050412.140812a},
url = {http://global-sci.org/intro/article_detail/cicp/7162.html}
}