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Zbl 0979.76069
Guo, Zhaoli; Shi, Baochang; Wang, Nengchao
Lattice BGK model for incompressible Navier-Stokes equation. (English)
[J] J. Comput. Phys. 165, No.1, 288-306 (2000). ISSN 0021-9991

Summary: Most of the existing lattice Boltzmann BGK models (LBGK) can be viewed as compressible schemes to simulate incompressible fluid flows. The compressible effect might lead to some undesirable errors in numerical simulations. In this paper we design a LBGK model without compressible effect for simulating incompressible flows. The incompressible Navier-Stokes equations are exactly recovered from this incompressible LBGK model. Numerical simulations of plane Poiseuille flow, unsteady two-dimensional shear decaying flow, driven cavity flow, and flow around circular cylinder are performed. The results agree well with analytic solutions and with numerical results of previous studies.

MSC 2000:: *76M28 Particle methods and lattice-gas methods
76D05 Navier-Stokes equations (fluid dynamics)

Keywords: lattice Boltzmann BGK models; incompressible Navier-Stokes equations; plane Poiseuille flow; unsteady two-dimensional shear decaying flow; driven cavity flow; flow around circular cylinder

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