Lattice Boltzmann models based on Gauss quadratures

Victor E. Ambruş () and Victor Sofonea ()
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Victor E. Ambruş: Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, Timişoara R-300223, Romania
Victor Sofonea: Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, Timişoara R-300223, Romania

International Journal of Modern Physics C (IJMPC), 2014, vol. 25, issue 12, 1-9

Abstract: The Gauss–Laguerre quadrature method is used to construct three-dimensional thermal Lattice Boltzmann models that exactly recover integrals of the equilibrium distribution function over Cartesian octants of the momentum space. We illustrate the capability of these models to exactly implement the diffuse reflection boundary conditions by considering the Couette flow at various values of the Knudsen number.

Keywords: Rarefied gas; lattice Boltzmann modeling; diffuse reflection; ballistic regime; Couette flow; 47.11.-j; 47.61.-k; 51.10.+y (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1142/S0129183114410113

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