A multiscale method for producing homogenized drag laws of a permeable medium by conflating experimental data with Lattice-Boltzmann simulations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 16 July 2019
Issue publication date: 17 October 2019
Abstract
Purpose
The purpose of this paper is to obtain a permeability law of a gas flow through a permeable medium using particle image velocimetry experimental data as primal information, which is conflated with numerical calculations by means of a multi-scale method.
Design/methodology/approach
The D2Q9 single-relaxation-time Lattice Boltzmann model (LBM) implemented in GPU is used for the numerical calculations. In a first homogenized micro-scale, the drag forces are emulated by means of an effective Darcy law acting only in the close neighborhood of the solid structures. A second mesoscopic level of homogenization makes use of the effective drag forces resulting from the first-scale model.
Findings
The procedure is applied to an experiment consisting of a regular array of wires. For the first level of homogenization, an effective drag law of the individual elemental obstacles is produced by conflating particle image velocimetry measurements of the flow field around the wires and numerical calculations performed with a GPU implementation of the LBM. In the second homogenization, a Darcy–Forchheimer correlation is produced, which is used in a final homogenized LBM model.
Research limitations/implications
The numerical simulations at the first level of homogenization require a substantial amount of calculations, which in the present case were performed by means of the computational power of a GPU.
Originality/value
The homogenization procedure can be extended to other permeable structures. The micro-scale-level model retrieves the fluid-structure forces between the flow and the obstacles, which are difficult to obtain experimentally either from direct measurement or by indirect assessment from velocity measurements.
Keywords
Acknowledgements
The authors gratefully acknowledge the support of NVIDIA Corporation with the donation of the Titan Xp GPU, which was used to perform all the calculations presented in this work. This project was partially supported by MINCYT through the project PICT-2016-441. They also wish to thank Gustavo Sepúlveda, Ernesto Scerbo and Diego Dalponte for helping with the construction of the experimental device and Javier Dottori for his helpful assistance in the GPU implementation.
Citation
Clausse, A., Silin, N. and Boroni, G. (2019), "A multiscale method for producing homogenized drag laws of a permeable medium by conflating experimental data with Lattice-Boltzmann simulations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 29 No. 11, pp. 4394-4407. https://doi.org/10.1108/HFF-01-2019-0058
Publisher
:Emerald Publishing Limited
Copyright © 2019, Emerald Publishing Limited