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An efficient numerical method for the generalised Kolmogorov equation

Gatti, Davide, Remigi, Alberto, Chiarini, Alessandro, Cimarelli, Andrea and Quadrio, Maurizio 2019. An efficient numerical method for the generalised Kolmogorov equation. Journal of Turbulence 20 (8) , pp. 457-480. 10.1080/14685248.2019.1664746
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Abstract

An efficient algorithm for computing the terms appearing in the Generalised Kolmogorov Equation (GKE) written for the indefinite plane channel flow is presented. The algorithm, which features three distinct strategies for parallel computing, is designed such that CPU and memory requirements are kept to a minimum, so that high-Re wall-bounded flows can be afforded. Computational efficiency is mainly achieved by leveraging the Parseval's theorem for the two homogeneous directions available in the plane channel geometry. A speedup of 3-4 orders of magnitude, depending on the problem size, is reported in comparison to a key implementation used in the literature. Validation of the code is demonstrated by computing the residual of the GKE, and example results are presented for channel flows at Re τ =200 Reτ=200 and Re τ =1000 Reτ=1000 , where for the first time they are observed in the whole four-dimensional domain. It is shown that the space and scale properties of the scale-energy fluxes change for increasing values of the Reynolds number. Among all scale-energy fluxes, the wall-normal flux is found to show the richest behaviour for increasing streamwise scales

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Publisher: Taylor & Francis
ISSN: 1468-5248
Date of First Compliant Deposit: 3 October 2019
Date of Acceptance: 8 August 2019
Last Modified: 10 Mar 2020 14:06
URI: http://orca.cf.ac.uk/id/eprint/125804

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