@Article{CiCP-25-416,
author = {Qibing Li},
title = {A Gas-Kinetic Riemann Solver for Stiffened Gas Interface and Its Application in Multimaterial Flows},
journal = {Communications in Computational Physics},
year = {2018},
volume = {25},
number = {2},
pages = {416--447},
abstract = {<p style="text-align: justify;">A new kinetic model is proposed to solve the Riemann problem for stiffened
gas interface from piecewise linear discontinuous initial distributions. In the model
gas particles on each side of the fluid interface are reflected back from the interface,
respectively, which is moving with a velocity to achieve the force balance between
both sides. Compared with the existing Riemann solver, the present model can keep
second order accuracy in both space and time. It is also capable of eliminating the
numerical mixing at the fluid interface which is different from existing kinetic models.
The new model is applied to the numerical flux calculation at a cell interface and
with the help of homogeneous equilibrium mixture assumption within a cell, a new
gas-kinetic scheme is developed for multimaterial flow with stiffened equation of state.
The scheme is tested with several typical high-speed multifluid flows, including the
water-gas shock tube flows and the shock-water cylinder interaction. The computed
results are in good agreement with other numerical and experimental studies. Fluid
interfaces as well as shock waves are sharply captured, free of numerical oscillation
near the interface, even for density ratio up to about one thousand, which validate its
high accuracy, strong robustness and good parallel performance.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2017-0201},
url = {http://global-sci.org/intro/article_detail/cicp/12757.html}
}