TY - JOUR
T1 - A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State
AU - Fu , Meiyan
AU - Lu , Tiao
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 4
SP - 1110
EP - 1135
PY - 2021
DA - 2021/09
SN - 14
DO - http://doi.org/10.4208/nmtma.OA-2021-0031
UR - https://global-sci.org/intro/article_detail/nmtma/19532.html
KW - Multi-phase flow, one-fluid cavitation model, approximate Riemann solver, Mie-Grüneisen EOS, underwater explosion.
AB - <p style="text-align: justify;">A general one-fluid cavitation model is proposed for a family of Mie-Grüneisen equations of state (EOS), which can provide a wide application of cavitation flows, such as liquid-vapour transformation and underwater explosion. An
approximate Riemann problem and its approximate solver for the general cavitation
model are developed. The approximate solver, which provides the interface pressure
and normal velocity by an iterative method, is applied in computing the numerical
flux at the phase interface for our compressible multi-medium flow simulation on
Eulerian grids. Several numerical examples, including Riemann problems and underwater explosion applications, are presented to validate the cavitation model and
the corresponding approximate solver.</p>