TY - JOUR
T1 - An Improved Modified Ghost Fluid Method for Compressible Multi-Medium Fluid Flows
AU - Zhang , Xiaotao
AU - Feng , Chengliang
AU - Yu , Changsheng
AU - Wang , Yibo
AU - Liu , Tiegang
JO - Communications in Computational Physics
VL - 5
SP - 1339
EP - 1377
PY - 2024
DA - 2024/12
SN - 36
DO - http://doi.org/10.4208/cicp.OA-2023-0259
UR - https://global-sci.org/intro/article_detail/cicp/23611.html
KW - Multi-medium compressible flows, radially symmetric flows, modified ghost fluid method, balanced boundary conditions.
AB - <p style="text-align: justify;">Pressure dislocation might be observed when the modified ghost fluid
method (MGFM) is applied to simulate radially symmetric multi-medium fluid flows
for a long time. We disclose the insightful reason that the MGFM cannot satisfy balanced boundary conditions when applied to simulate the radially symmetric compressible multi-medium flows, resulting in a first-order temporal error in the interface region. To impose these balanced boundary conditions, we develop an improved
MGFM in this work. The reconstruction for the initial value of the multi-medium
Riemann problem at the interface is specially designed in combination with these
balanced boundary conditions. In addition, the predicted instantaneous interface
states and balanced boundary conditions are then utilized to define the ghost fluid
states. Theoretical analysis shows that the improved MGFM can satisfy these balanced
boundary conditions and effectively eliminate the first-order temporal error at the interface. Its extension to two dimensions is also presented. Numerical results show that
the proposed improved MGFM can restraint pressure dislocation and overheating at
the material interface very well and effectively improve mass conservation.</p>