TY - JOUR
T1 - A Sharp Interface Method for Compressible Multi-Phase Flows Based on the Cut Cell and Ghost Fluid Methods
AU - Bai , Xiao
AU - Deng , Xiaolong
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 1052
EP - 1075
PY - 2018
DA - 2018/05
SN - 9
DO - http://doi.org/10.4208/aamm.2015.m1283
UR - https://global-sci.org/intro/article_detail/aamm/12189.html
KW - Compressible multi-phase flows, cut cell method, level set method, ghost fluid method, interfacial dynamics.
AB - <p style="text-align: justify;">A new sharp interface method with the combination of Ghost Fluid Method
(GFM) and Cut Cell scheme is developed to study compressible multi-phase flows
with clear interfaces. Straight-line cutting is applied on the cells passed by the interface.
A new real-ghost mixing method is presented and applied around the cut cells to
deal with very small cut cells. A cut face reconstruction method similar to volume of
fluid is applied to deal with topological change problems. A high order Level Set (LS)
method is applied to evolve the free interface, with the Level Set velocities from exact
Riemann solver on the cut faces. Various 1D and 2D numerical examples are tested to
show the robustness and ability of the present method in wide flow variable domains.
This method benefits from cut cell on the sharp interface description, shows good conservation
performance, and does not have the topological change difficulty of the full
cut cell method presented in Chang, Deng &amp; Theofanous, J. Comput. Phys., 242 (2013),
pp. 946–990.</p>