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Symmetry-Preserving Discretization of Heat Transfer in a Complex Turbulent Flow

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Abstract

Convective and diffusive operators are discretized such that their symmetries are preserved. The resulting discretization inherits all symmetry-related properties of the continuous formulation. It is shown that a symmetry-preserving discretization is unconditionally stable and conservative. A fourth-order, symmetry-preserving discretization method is developed and tested for the numerical simulation of turbulent (flow and) heat transfer in a channel with surface-mounted cubes, where the temperature is treated as a passive scalar. The Reynolds number (based on the channel width and the mean bulk velocity) is Re=13,000. The results of the numerical simulation agree well with available experimental data.

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Authors and Affiliations

  1. Institute of Mathematics and Computing Science, University of Groningen, P.O.Box 800, 9700 AV, Groningen, The Netherlands

    R. W. C. P. Verstappen & R. M. Van Der Velde

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  1. R. W. C. P. Verstappen
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  2. R. M. Van Der Velde
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Correspondence to R. W. C. P. Verstappen.

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Verstappen, R.W.C.P., Van Der Velde, R.M. Symmetry-Preserving Discretization of Heat Transfer in a Complex Turbulent Flow. J Eng Math 54, 299–318 (2006). https://doi.org/10.1007/s10665-006-9035-4

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  • DOI: https://doi.org/10.1007/s10665-006-9035-4

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