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Simulation of weak‐inertia single‐phase flow in porous materials using Smoothed Particle Hydrodynamics
Author(s) -
Krach David,
Steeb Holger
Publication year - 2021
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.202000289
Subject(s) - inertia , smoothed particle hydrodynamics , mechanics , porous medium , nonlinear system , stokes number , compressibility , stokes flow , reynolds number , permeability (electromagnetism) , scaling , physics , classical mechanics , flow (mathematics) , statistical physics , porosity , materials science , mathematics , turbulence , geometry , chemistry , composite material , biochemistry , quantum mechanics , membrane
Intrinsic permeability of a porous material is a crucial material parameter in various application fields like e.g. geosciences, materials science, biological sciences and mechanical engineering. In contrast to the permeability often used in purely linear models, however, it is also a (nonlinear) function of the Reynolds number (Re) with the onset of the influence of inertial forces. In coarse‐grained continuum models the Forchheimer equation describes this incipient influence of viscous momentum exchange but it is based on the adaptation of experimentally obtained data and its range of validity remains a subject for discussion. Performing three‐dimensional Direct Numerical Simulations for single‐phase flow through porous media this work aims to show a smooth transition of effective intrinsic permeability within the interval 0.1 < Re < 1000. We use the fully‐Lagrangian meshless Smoothed Particle Hydrodynamics method (SPH) to solve the weakly compressible Navier‐Stokes equations for pore‐scale resolved flow in the so‐called weak‐inertia regime. Our implementation utilizes HOOMD‐blue thus allows us to perform massively parallel computations which are crucial for these applications.