A PARALLEL THERMAL LATTICE BOLTZMANN MODEL WITH FLUX LIMITERS FOR MICROSCALE FLOW

M. Botti (), G. Gonnella (), A. Lamura (), F. Massaioli () and V. Sofonea ()
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M. Botti: CASPUR, Via dei Tizii 6/b, 00185 Rome, Italy
G. Gonnella: Dipartimento di Fisica, Università di Bari, Via Amendola 173, 70126 Bari, Italy;
A. Lamura: Istituto Applicazioni Calcolo, CNR, Via Amendola 122/D, 70126 Bari, Italy
F. Massaioli: CASPUR, Via dei Tizii 6/b, 00185 Rome, Italy
V. Sofonea: Center for Fundamental and Advanced Technical Research, Romanian Academy, Bd. Mihai Viteazul 24, 300223 Timişoara, Romania

International Journal of Modern Physics C (IJMPC), 2008, vol. 19, issue 12, 1847-1861

Abstract: We propose a thermal lattice Boltzmann model to study gaseous flow in microcavities. The model relies on the use of a finite difference scheme to solve the set of evolution equations. By adopting diffuse reflection boundary conditions to deal with flows in the slip regime, we study the micro-Couette flow in order to select the best numerical scheme in terms of accuracy. The scheme based on flux limiters is then used to simulate a micro-lid-driven cavity flow by using an efficient and parallel implementation. The numerical results are in very good agreement with the available results recovered with different methods.

Keywords: Thermal lattice Boltzmann method; numerical scheme; microfluidics; 47.11.-j; 05.70.Ln; 51.10.+y (search for similar items in EconPapers)
Date: 2008
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DOI: 10.1142/S0129183108013308

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