Numerical simulation of Neumann boundary condition in the thermal lattice Boltzmann model

Q. Chen (), X. B. Zhang () and J. F. Zhang ()
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Q. Chen: School of Energy and Power Engineering, Nanjing University of Science & Technology, Jiangsu 210094, P. R. China;
X. B. Zhang: School of Energy and Power Engineering, Nanjing University of Science & Technology, Jiangsu 210094, P. R. China
J. F. Zhang: Bharti School of Engineering, Laurentian University, 935 Ramsey Lake Road, Sudbury, Ontario, Canada P3E 2C6, Canada

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 08, 1-13

Abstract: In this paper, a bilinear interpolation finite-difference scheme is proposed to handle the Neumann boundary condition with nonequilibrium extrapolation method in the thermal lattice Boltzmann model. The temperature value at the boundary point is obtained by the finite-difference approximation, and then used to determine the wall temperature via an extrapolation. Our method can deal with the boundaries with complex geometries, motions and gradient boundary conditions. Several simulations are performed to examine the capacity of this proposed boundary method. The numerical results agree well with the analytical solutions. When compared with a representative boundary method, an improved performance is observed. The results also show that the proposed scheme together with nonequilibrium extrapolation method has second-order accuracy.

Keywords: Lattice Boltzmann method; Neumann boundary; heat transfer (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114500272

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