@Article{AAMM-8-5,
author = {Yu, Sun and Shu, Chang and Yang, Liming and Teo, J., C.},
title = {A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {5},
pages = {703--721},
abstract = {<p style="text-align: justify;">In this paper, a switch function-based gas-kinetic scheme (SF-GKS) is presented
for the simulation of inviscid and viscous compressible flows. With the finite
volume discretization, Euler and Navier-Stokes equations are solved and the SF-GKS
is applied to evaluate the inviscid flux at cell interface. The viscous flux is obtained by
the conventional smooth function approximation. Unlike the traditional gas-kinetic
scheme in the calculation of inviscid flux such as Kinetic Flux Vector Splitting (KFVS),
the numerical dissipation is controlled with a switch function in the present scheme.
That is, the numerical dissipation is only introduced in the region around strong shock
waves. As a consequence, the present SF-GKS can well capture strong shock waves
and thin boundary layers simultaneously. The present SF-GKS is firstly validated by
its application to the inviscid flow problems, including 1-D Euler shock tube, regular
shock reflection and double Mach reflection. Then, SF-GKS is extended to solve viscous
transonic and hypersonic flow problems. Good agreement between the present
results and those in the literature verifies the accuracy and robustness of SF-GKS.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2015.m1071},
url = {https://global-sci.com/article/73355/a-switch-function-based-gas-kinetic-scheme-for-simulation-of-inviscid-and-viscous-compressible-flows}
}