A high-order generalized differential quadrature method with lattice Boltzmann flux solver for simulating incompressible flows

Liu, Yaguang1,2; Shu, Chang1; Yu, Peng2,3,4; Liu, Yangyang1; Zhang, Hua1; Lu, Chun2

2023-04-01

10.1063/5.0146130

PHYSICS OF FLUIDS   影响因子和分区

1070-6631

1089-7666

This paper presents a high-order generalized differential quadrature method with lattice Boltzmann flux solver (LBFS-GDQ) for simulating incompressible isothermal flows. In this method, high-order polynomials are adopted to approximate both the solution and fluxes globally across the computational domain. Solution derivatives and flux divergence are conveniently computed by the GDQ method. At the interior solution points, the viscous and inviscid fluxes are evaluated simultaneously via LBFS. Treatments to prevent the global accuracy from being contaminated by the streaming error of LBFS are proposed and studied, including the choice for the local streaming spacing and interpolation methods for the local reconstruction. The present method inherits the advantages of both GDQ and LBFS, i.e., global spectral accuracy, direct evolution of macroscopic variables, and convenient implementation of boundary conditions. Numerical experiments with a wide selection of incompressible flow problems confirm the excellent accuracy, efficiency, and flexibility of the proposed method.

SCI ; EI

英语

通讯

National Science and Technology Major Project["J2019-II-0006-0026","J2019-II-0013-0033"]

Mechanics ; Physics

Mechanics ; Physics, Fluids & Plasmas

WOS:000969142200007

AIP Publishing

20231713955032

Differentiation (calculus) ; Numerical methods ; Polynomials

Algebra:921.1 ; Calculus:921.2 ; Numerical Methods:921.6

PHYSICS

Web of Science

1.Natl Univ Singapore, Dept Mech Engn, 10 Kent Ridge Crescent, Singapore 119260, Singapore
2.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
3.Southern Univ Sci & Technol, Ctr Complex Flows & Soft Matter Res, Shenzhen 518055, Peoples R China
4.Southern Univ Sci & Technol, Guangdong Prov Key Lab Turbulence Res & Applicat, Shenzhen 518055, Peoples R China

Liu, Yaguang,Shu, Chang,Yu, Peng,et al. A high-order generalized differential quadrature method with lattice Boltzmann flux solver for simulating incompressible flows[J]. PHYSICS OF FLUIDS,2023,35(4).

Liu, Yaguang,Shu, Chang,Yu, Peng,Liu, Yangyang,Zhang, Hua,&Lu, Chun.(2023).A high-order generalized differential quadrature method with lattice Boltzmann flux solver for simulating incompressible flows.PHYSICS OF FLUIDS,35(4).

Liu, Yaguang,et al."A high-order generalized differential quadrature method with lattice Boltzmann flux solver for simulating incompressible flows".PHYSICS OF FLUIDS 35.4(2023).