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Intercomparison of boundary schemes in Lattice Boltzmann method for flow simulation in porous media
Author(s) -
Chen Yilin,
Jin Guangqiu,
Zhang Pei,
GalindoTorres S. A.,
Scheuermann Alexander,
Li Ling
Publication year - 2020
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.4858
Subject(s) - lattice boltzmann methods , porous medium , dimensionless quantity , mechanics , immersed boundary method , rate of convergence , permeability (electromagnetism) , porosity , boundary value problem , spheres , flow (mathematics) , volumetric flow rate , materials science , boundary (topology) , mathematics , physics , engineering , mathematical analysis , chemistry , composite material , aerospace engineering , channel (broadcasting) , biochemistry , membrane , electrical engineering
The Lattice Boltzmann method has been widely adopted to simulate flow in porous media. The choice of appropriate boundary schemes is essential to achieve simulation accuracy; however, the criteria for the most suitable boundary treatment in the simulation of flow in porous media flow remain unresolved. Here, three types of the most commonly used boundary conditions are tested: interpolation bounce back (IBB), partial saturated method (PSM), and immersed boundary method (IBM). The dimensionless drag of face‐centered cubic (FCC) sphere array and the dimensionless permeability of a random closely packed (RCP) sphere array are calculated and compared at different viscosities and resolutions. In the FCC sphere array case where spheres are not contacted, the IBB and PSM exhibit the same accuracy and both are of the second‐order convergence rate. The IBM is less accurate and is of the first‐order convergence rate. In the RCP sphere array case where the spheres are contacted, the IBB shows finer results and a second‐order convergence rate. PSM underestimates the dimensionless permeability and increases resolution only slightly improved the results of PSM. The IBM overestimates the dimensionless permeability. These results indicate that among the three methods, the IBB is the most accurate. The PSM has the same accuracy as the IBB when sediments are not contacted; however, it loses its accuracy in the simulation of flow in closely packed porous media. This work could serve as a benchmark for further research in choosing the most appropriate method in the simulation of flow in porous media.