A multiscale method for producing homogenized drag laws of a permeable medium by conflating experimental data with Lattice-Boltzmann simulations
| Autor: | G. Boroni, Alejandro Clausse, Nicolas Silin |
|---|---|
| Rok vydání: | 2019 |
| Předmět: |
Physics
Mesoscopic physics Darcy's law Applied Mathematics Mechanical Engineering Lattice Boltzmann methods Experimental data 02 engineering and technology Drag law 01 natural sciences Homogenization (chemistry) 010305 fluids & plasmas Computer Science Applications 020303 mechanical engineering & transports 0203 mechanical engineering Particle image velocimetry Mechanics of Materials Drag Law 0103 physical sciences |
| Zdroj: | International Journal of Numerical Methods for Heat & Fluid Flow. 29:4394-4407 |
| ISSN: | 0961-5539 |
| DOI: | 10.1108/hff-01-2019-0058 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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