Discrete unified gas kinetic scheme for continuum compressible flows

Guo, Zhaoli1; Wang, Lian-Ping2; Qi, Yiming3

2023-02-10

10.1103/PhysRevE.107.025304

PHYSICAL REVIEW E   影响因子和分区

2470-0045

2470-0053

In this paper, a discrete unified gas kinetic scheme (DUGKS) is proposed for continuum compressible gas flows based on the total energy kinetic model [Guo et al., Phys. Rev. E 75, 036704 (2007)]. The proposed DUGKS can be viewed as a special finite-volume lattice Boltzmann method for the compressible Navier-Stokes equations in the double distribution function formulation, in which the mass and momentum transport are described by the kinetic equation for a density distribution function (g), and the energy transport is described by the other one for an energy distribution function (h). To recover the full compressible Navier-Stokes equations ex-actly, the corresponding equilibrium distribution functions geq and heq are expanded as Hermite polynomials up to third and second orders, respectively. The velocity spaces for the kinetic equations are discretized according to the seventh and fifth Gauss-Hermite quadratures. Consequently, the computational efficiency of the present DUGKS can be much improved in comparison with previous versions using more discrete velocities required by the ninth Gauss-Hermite quadrature.

SCI ; EI

英语

其他

National Natural Science Foundation of China["11988102","91852205"]

Physics

Physics, Fluids & Plasmas ; Physics, Mathematical

WOS:000932669400006

AMER PHYSICAL SOC

20231113697848

Compressibility of gases ; Compressible flow ; Distribution functions ; Integral equations ; Kinetic energy ; Kinetic theory of gases ; Kinetics ; Navier Stokes equations ; Polynomials ; Viscous flow

Fluid Flow, General:631.1 ; Algebra:921.1 ; Calculus:921.2 ; Probability Theory:922.1 ; Classical Physics; Quantum Theory; Relativity:931 ; Physical Properties of Gases, Liquids and Solids:931.2

PHYSICS

Web of Science

1.Huazhong Univ Sci & Technol, Inst Multidisciplinary Res Math & Appl Sci, Wuhan 430074, Peoples R China
2.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
3.Peking Univ, Coll Engn, State Key Lab Turbulence & Complex Syst, Beijing 100871, Peoples R China

Guo, Zhaoli,Wang, Lian-Ping,Qi, Yiming. Discrete unified gas kinetic scheme for continuum compressible flows[J]. PHYSICAL REVIEW E,2023,107(2).

Guo, Zhaoli,Wang, Lian-Ping,&Qi, Yiming.(2023).Discrete unified gas kinetic scheme for continuum compressible flows.PHYSICAL REVIEW E,107(2).

Guo, Zhaoli,et al."Discrete unified gas kinetic scheme for continuum compressible flows".PHYSICAL REVIEW E 107.2(2023).