TY - JOUR
T1 - An Improved Gas-Kinetic Scheme for Multimaterial Flows
AU - Li , Qibing
JO - Communications in Computational Physics
VL - 1
SP - 145
EP - 166
PY - 2019
DA - 2019/10
SN - 27
DO - http://doi.org/10.4208/cicp.OA-2018-0297
UR - https://global-sci.org/intro/article_detail/cicp/13317.html
KW - Gas-kinetic scheme, non-mixing interface model, stiffened equation of state, improved Aitken method, tangent of hyperbola for interface capturing.
AB - <p style="text-align: justify;">The efficiency of recently developed gas-kinetic scheme for multimaterial
flows is increased through the adoption of a new iteration method in the kinetic non-mixing Riemann solver and an interface sharpening reconstruction method at a cell
interface. The iteration method is used to determine the velocity of fluid interface,
based on the force balance between both sides due to the incidence and bounce back
of particles at the interface. An improved Aitken method is proposed with a simple
hybrid of the modified Aitken method (Aitken-Chen) and the Steffensen method. Numerical tests validate its efficiency with significantly less calls to the function not only
for the average number but also for the maximum. The new reconstruction is based
on the tangent of hyperbola for interface capturing (THINC) but applied only to the
volume fraction, which is very simple to be implemented under the stratified framework and capable of resolving fluid interface in mixture. Furthermore, the directional
splitting is adopted rather than the previous quasi-one-dimensional method. Typical
numerical tests, including several water-gas shock tube flows, and the shock-water
cylinder interaction flow show that the improved gas-kinetic scheme can capture fluid
interfaces much sharper, while preserving the advantages of the original one.</p>