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  • 1
    Electronic Resource
    Electronic Resource
    Accuracy of the lattice Boltzmann method for small Knudsen number with finite Reynolds number (1997)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 9 (1997), S. 3535-3542 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: The asymptotic theory proposed by Sone [in Rarefied Gas Dynamics, edited by D. Dini (Editrice Tecnico Scientifica, Pisa, 1971), p. 737] is applied to the investigation of the accuracy of the lattice Boltzmann method (LBM) for small Knudsen number with finite Reynolds number. The S-expansion procedure of the asymptotic theory is applied to LBM with the nine-velocity model and fluid-dynamic type equations are obtained. From the fluid-dynamic type equations it is found that by using the LBM we can obtain the macroscopic flow velocities and the pressure gradient for incompressible fluid with relative errors of O(cursive-epsilon′2) where cursive-epsilon′ is a modified Knudsen number which is of the same order as the lattice spacing and is related to a dimensionless relaxation time. In two problems, the Couette flow with flow injection and suction through porous walls and a three-dimensional flow through a square duct, the accuracy of LBM is examined for relaxation times between 0.8 and 1.7 and the validity of the asymptotic theory for LBM is shown. © 1997 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869426
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  • 2
    Electronic Resource
    Electronic Resource
    Numerical study of discrete-velocity gases (1990)
    New York, NY : American Institute of Physics (AIP)
    Physics of Fluids 2 (1990), S. 2196-2203 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A finite-difference method for solving the discrete Boltzmann equations, which are the governing equations for a model gas in which molecules have many discrete velocities, is developed. The method is applied to three fundamental problems in rarefied gas flow to study the features of discrete-velocity gases: normal shock wave structure, heat transfer between two parallel plates, and two-dimensional vapor deposition. Two different discrete-velocity gas models are used.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.857825
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  • 3
    Electronic Resource
    Electronic Resource
    Erratum: "A non-slip boundary condition for lattice Boltzmann simulations'' [Phys. Fluids 7, 2928 (1995)] (1996)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 8 (1996), S. 1124-1124 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.869134
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  • 4
    Electronic Resource
    Electronic Resource
    A non-slip boundary condition for lattice Boltzmann simulations (1995)
    [S.l.] : American Institute of Physics (AIP)
    Physics of Fluids 7 (1995), S. 2928-2930 
    Details
    ISSN: 1089-7666
    Source: AIP Digital Archive
    Topics: Physics
    Notes: A non-slip boundary condition at a wall for the lattice Boltzmann method is presented. In the present method unknown distribution functions at the wall are assumed to be an equilibrium distribution function with a counter slip velocity which is determined so that fluid velocity at the wall is equal to the wall velocity. Poiseuille flow and Couette flow are calculated with the nine-velocity model to demonstrate the accuracy of the present boundary condition. © 1995 American Institute of Physics.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1063/1.868766
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  • 5
    Electronic Resource
    Electronic Resource
    Analysis of shear layers based on the lattice gas model (1995)
    Chichester : Wiley-Blackwell
    International Journal for Numerical Methods in Fluids 21 (1995), S. 967-972 
    Details
    ISSN: 0271-2091
    Keywords: lattice gas model ; cellular automaton ; shear layer ; diffusion ; Kelvin-Helmholtz instability ; Engineering ; Engineering General
    Source: Wiley InterScience Backfile Collection 1832-2000
    Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics
    Notes: The ‘two-colour lattice gas model’ is applied to the analysis of shear layers between two parallel flows with different velocities U1 and U2. Two cases, (a) U1 = 0.4, U2 = 0.2 and (b) U1 = 0.4, U2 = 0.0, are calculated and compared with the theoretical solutions. We obtain good agreement between theory and calculations in the velocity profiles of the shear layers. It is found that this model can simulate complicated physical phenomena of shear layers at the microscopic level.
    Additional Material: 5 Ill.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1002/fld.1650211013
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