TY - JOUR
T1 - Remapping-Free Adaptive GRP Method for Multi-Fluid Flows I: One Dimensional Euler Equations
AU - Jin Qi, Yue Wang & Jiequan Li
JO - Communications in Computational Physics
VL - 4
SP - 1029
EP - 1044
PY - 2014
DA - 2014/04
SN - 15
DO - http://doi.org/10.4208/cicp.140313.111013s
UR - https://global-sci.org/intro/article_detail/cicp/7126.html
KW - 
AB - <p style="text-align: justify;">In this paper, a remapping-free adaptive GRP method for one dimensional
(1-D) compressible flows is developed. Based on the framework of finite volume
method, the 1-D Euler equations are discretized on moving volumes and the resulting
numerical fluxes are computed directly by the GRP method. Thus the remapping
process in the earlier adaptive GRP algorithm [17,18] is omitted. By adopting a flexible
moving mesh strategy, this method could be applied for multi-fluid problems. The interface
of two fluids will be kept at the node of computational grids and the GRP solver
is extended at the material interfaces of multi-fluid flows accordingly. Some typical numerical
tests show competitive performances of the new method, especially for contact
discontinuities of one fluid cases and the material interface tracking of multi-fluid
cases.</p>