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Comparative Study Of Thermal Flows With Different Finite Volume And Lattice Boltzmann Schemes

Author

Listed:
  • AHMAD AL-ZOUBI

    (Institute of Technical Mechanics, University of Clausthal, Adolph-Roemer-Str. 2A, D–38678 Clausthal-Zellerfeld, Germany)

  • GUNTHER BRENNER

    (Institute of Technical Mechanics, University of Clausthal, Adolph-Roemer-Str. 2A, D–38678 Clausthal-Zellerfeld, Germany)

Abstract

In the present paper, a comparative study of numerical solutions for steady flows with heat transfer based on the finite volume method (FVM) and the relatively new lattice Boltzmann method (LBM) is presented. In the last years, the LB methods have challenged the classical FV methods to solve the Navier–Stokes equations and have proven to be superior in accuracy and efficiency for certain applications. Most of these studies were related to the transport of mass and momentum. In the meantime, significant effort has been invested in the application of the LBM to simulate flows including heat transfer. The studies in the present paper are the analysis of performance and accuracy aspects of LBM applied to the prediction of these flows. For a fully developed laminar flow between parallel plates, analytical solutions for the heat transfer in fully developed thermal boundary layers are available and may be compared with the respective numerical results. Finally, a hybrid approach is proposed to circumvent numerical problems of the thermal LB methods.

Suggested Citation

  • Ahmad Al-Zoubi & Gunther Brenner, 2004. "Comparative Study Of Thermal Flows With Different Finite Volume And Lattice Boltzmann Schemes," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 307-319.
    • Handle: RePEc:wsi:ijmpcx:v:15:y:2004:i:02:n:s0129183104005723
    DOI: 10.1142/S0129183104005723
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