TY - JOUR
T1 - A Two-Stage Fourth-Order Gas-Kinetic Scheme for Compressible Multicomponent Flows
AU - Liang Pan, Junxia Cheng, Shuanghu Wang & Kun Xu
JO - Communications in Computational Physics
VL - 4
SP - 1123
EP - 1149
PY - 2017
DA - 2017/10
SN - 22
DO - http://doi.org/10.4208/cicp.OA-2017-0023
UR - https://global-sci.org/intro/article_detail/cicp/9996.html
KW - 
AB - <p style="text-align: justify;">With the use of temporal derivative of flux function, a two-stage temporal
discretization has been recently proposed in the design of fourth-order schemes based
on the generalized Riemann problem (GRP) [21] and gas-kinetic scheme (GKS) [28].
In this paper, the fourth-order gas-kinetic scheme will be extended to solve the compressible
multicomponent flow equations, where the two-stage temporal discretization
and fifth-order WENO reconstruction will be used in the construction of the scheme.
Based on the simplified two-species BGK model [41], the coupled Euler equations for
individual species will be solved. Each component has its individual gas distribution
function and the equilibrium states for each component are coupled by the physical
requirements of total momentum and energy conservation in particle collisions. The
second-order flux function is used to achieve the fourth-order temporal accuracy, and
the robustness is as good as the second-order schemes. At the same time, the source
terms, such as the gravitational force and the chemical reaction, will be explicitly included
in the two-stage temporal discretization through their temporal derivatives.
Many numerical tests from the shock-bubble interaction to ZND detonative waves are
presented to validate the current approach.</p>