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A Parallel Thermal Lattice Boltzmann Model With Flux Limiters For Microscale Flow

Author

Listed:
  • 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;
    INFN, Sezione 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)

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.

Suggested Citation

  • M. Botti & G. Gonnella & A. Lamura & F. Massaioli & V. Sofonea, 2008. "A Parallel Thermal Lattice Boltzmann Model With Flux Limiters For Microscale Flow," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 19(12), pages 1847-1861.
    • Handle: RePEc:wsi:ijmpcx:v:19:y:2008:i:12:n:s0129183108013308
    DOI: 10.1142/S0129183108013308
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