Meshfree method based on discrete gas-kinetic scheme to simulate incompressible/compressible flows

2021 ◽  
Vol 33 (1) ◽  
pp. 017112
Author(s):  
Ningyu Zhan ◽  
Rongqian Chen ◽  
Yancheng You
Keyword(s):  
Compressible Flows ◽  
Kinetic Scheme ◽  
Meshfree Method

A Switch Function-Based Gas-Kinetic Scheme for Simulation of Inviscid and Viscous Compressible Flows

2016 ◽  
Vol 8 (5) ◽  
pp. 703-721 ◽  
Author(s):  
Yu Sun ◽  
Chang Shu ◽  
Liming Yang ◽  
C. J. Teo
Keyword(s):  
Shock Waves ◽  
Compressible Flows ◽  
Stokes Equations ◽  
Mach Reflection ◽  
Strong Shock ◽  
Kinetic Scheme ◽  
Numerical Dissipation ◽  
Flow Problems ◽  
Viscous Compressible Flows ◽  
Strong Shock Waves

AbstractIn 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.

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