Physics of Fluids - Publications

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

arΧiv
Computers & Fluids 166, 30, 1–8 (2018)

Authors

	G.L. Kooij
	M.A. Botchev
	E.M.A. Frederix
	B. J. Geurts
	Susanne Horn
	Detlef Lohse
	Erwin van der Poel
	Olga Shishkina
	Richard Stevens
	Roberto Verzicco

BibTeΧ

@article{Kooij2018,
title = "Comparison of computational codes for direct numerical simulations of turbulent Rayleigh–Bénard convection ",
journal = "Computers & Fluids ",
volume = "",
number = "",
pages = " - ",
year = "2018",
note = "",
issn = "0045-7930",
doi = "https://doi.org/10.1016/j.compfluid.2018.01.010",
url = "https://www.sciencedirect.com/science/article/pii/S0045793018300100",
author = "Gijs L. Kooij and Mikhail A. Botchev and Edo M.A. Frederix and Bernard J. Geurts and Susanne Horn and Detlef Lohse and Erwin P. van der Poel and Olga Shishkina and Richard J.A.M. Stevens and Roberto Verzicco",
keywords = "Direct Numerical Simulations",
keywords = "Rayleigh-Bénard convection",
keywords = "heat transfer ",
abstract = "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 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 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. "
}