期刊
COMPUTERS & FLUIDS
卷 166, 期 -, 页码 1-8出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.compfluid.2018.01.010
关键词
Direct numerical simulations; Rayleigh-Benard convection; Heat transfer
资金
- Foundation for Fundamental Research on Matter (FOM), part of the Netherlands Organization for Scientific Research (NWO) [142]
- Netherlands Center for Multiscale Catalytic Energy Conversion (MCEC), an NWO Gravitation program - Ministry of Education, Culture and Science of the government of the Netherlands
- Deutsche Forschungsgemeinschaft (DFG) [Sh 405/4-2, Ho 5890/1-1]
- DFG [SPP 1881]
- Dutch Supercomputing Consortium SURFsara [SH-061, SH-015]
- Leibniz Rechenzentrum (LRZ) [pr84pu]
Computational codes for direct numerical simulations of Rayleigh-Benard (RB) convection are compared in terms of computational cost and quality of the solution. As a benchmark case, RB convection at Ra = 10(8) and Pr = 1 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 OFENFOAM 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. (C) 2018 Published by Elsevier Ltd.
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