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  Comparison of computational codes for direct numerical simulations of turbulent Rayleigh–Bénard convection

Kooij, G. L., Botchev, M. A., Frederix, E. M. A., Geurts, B. J., Horn, S., Lohse, D., et al. (2018). Comparison of computational codes for direct numerical simulations of turbulent Rayleigh–Bénard convection. Computers and Fluids, 166, 1-8. doi:10.1016/j.compfluid.2018.01.010.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-3621-D Version Permalink: http://hdl.handle.net/21.11116/0000-0003-D975-5
Genre: Journal Article

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 Creators:
Kooij, G. L., Author
Botchev, M. A., Author
Frederix, E. M. A., Author
Geurts, B. J., Author
Horn, S., Author
Lohse, Detlef1, Author              
van der Poel, E. P., Author
Shishkina, Olga2, Author              
Stevens, R. J. A. M., Author
Verzicco, R., Author
Affiliations:
1Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063285              
2Laboratory for Fluid Dynamics, Pattern Formation and Biocomplexity, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063287              

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Free keywords: Direct numerical simulations; Rayleigh-Bénard convection; Heat transfer
 Abstract: Computational codes for direct numerical simulations of Rayleigh–Bénard (RB) convection are compared in terms of computational cost and quality of the solution. As a benchmark case, RB convection at and in a periodic domain, in cubic and cylindrical containers is considered. A dedicated second-order finite-difference code (AFID/RBflow) and a specialized fourth-order finite-volume code (Goldfish) are compared with a general purpose finite-volume approach (OpenFOAM) and a general purpose spectral-element code (Nek5000). Reassuringly, all codes provide predictions of the average heat transfer that converge to the same values. The computational costs, however, are found to differ considerably. The specialized codes AFID/RBflow and Goldfish are found to excel in efficiency, outperforming the general purpose flow solvers Nek5000 and OpenFOAM by an order of magnitude with an error on the Nusselt number Nu below 5%. However, we find that Nu alone is not sufficient to assess the quality of the numerical results: in fact, instantaneous snapshots of the temperature field from a near wall region obtained for deliberately under-resolved simulations using Nek5000 clearly indicate inadequate flow resolution even when Nu is converged. Overall, dedicated special purpose codes for RB convection are found to be more efficient than general purpose codes.

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Language(s): eng - English
 Dates: 2018-01-312018-04-30
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: Peer
 Identifiers: DOI: 10.1016/j.compfluid.2018.01.010
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Title: Computers and Fluids
Source Genre: Journal
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Pages: - Volume / Issue: 166 Sequence Number: - Start / End Page: 1 - 8 Identifier: -