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Journal of Scientific Computing

Erschienen in:

01.04.2014

Hydrodynamics in Porous Media: A Finite Volume Lattice Boltzmann Study

verfasst von: Ahad Zarghami, Chiara Biscarini, Sauro Succi, Stefano Ubertini

Erschienen in: Journal of Scientific Computing | Ausgabe 1/2014

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Abstract

Fluid flow through porous media is of great importance for many natural systems, such as transport of groundwater flow, pollution transport and mineral processing. In this paper, we propose and validate a novel finite volume formulation of the lattice Boltzmann method for porous flows, based on the Brinkman–Forchheimer equation. The porous media effect is incorporated as a force term in the lattice Boltzmann equation, which is numerically solved through a cell-centered finite volume scheme. Correction factors are introduced to improve the numerical stability. The method is tested against fully porous Poiseuille, Couette and lid-driven cavity flows. Upon comparing the results with well-documented data available in literature, a satisfactory agreement is observed. The method is then applied to simulate the flow in partially porous channels, in order to verify its potential application to fractured porous conduits, and assess the influence of the main porous media parameters, such as Darcy number, porosity and porous media thickness.

Vorheriger Artikel Constraint-Free Adaptive FEMs on Quadrilateral Nonconforming Meshes

Nächster Artikel Error Analysis of a Compact ADI Scheme for the 2D Fractional Subdiffusion Equation

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Titel: Hydrodynamics in Porous Media: A Finite Volume Lattice Boltzmann Study
verfasst von: Ahad Zarghami
Chiara Biscarini
Sauro Succi
Stefano Ubertini
Publikationsdatum: 01.04.2014
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 1/2014
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-013-9754-4

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