COMPARATIVE STUDY OF THERMAL FLOWS WITH DIFFERENT FINITE VOLUME AND LATTICE BOLTZMANN SCHEMES

Ahmad Al-Zoubi () and Gunther Brenner ()
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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

International Journal of Modern Physics C (IJMPC), 2004, vol. 15, issue 02, 307-319

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.

Keywords: Lattice Boltzmann; Navier–Stokes; finite volume; heat transfer (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1142/S0129183104005723

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