TY - JOUR
T1 - Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)
AU - Feng , Chengliang
AU - Liu , Tiegang
AU - Xu , Liang
AU - Yu , Changsheng
JO - Communications in Computational Physics
VL - 2
SP - 621
EP - 660
PY - 2020
DA - 2020/06
SN - 28
DO - http://doi.org/10.4208/cicp.OA-2019-0056
UR - https://global-sci.org/intro/article_detail/cicp/16943.html
KW - Multi-medium compressible flow, axisymmetric flow, ghost fluid method, modified
ghost fluid method, generalized multi-medium Riemann problem.
AB - <p style="text-align: justify;">In this work, we show that the modified ghost fluid method might suffer
pressure mismatch at material interfaces and thus leads to inaccurate numerical results when directly applied to long term simulations of multi-medium flow problems
with an axisymmetric source term. We disclose the underlying reason and then develop a technique of linear distribution to take into account the effect of the axisymmetric source on the definition of ghost fluid states. In order to faithfully consider the
effect of the source term, the interfacial conditions related to derivatives are derived
and linear distributions of ghost fluid states are constructed based on a generalized
axisymmetric multi-medium Riemann problem. Theoretical analysis and numerical
results show that the modified ghost fluid method with axisymmetric source correction (MGFM/ASC) can effectively eliminate the pressure error.</p>