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Lattice Boltzmann simulation of flows in a three‐dimensional porous structure
Author(s) -
Inamuro Takaji,
Yoshino Masato,
Ogino Fumimaru
Publication year - 1999
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/(sici)1097-0363(19990415)29:7<737::aid-fld813>3.0.co;2-h
Subject(s) - lattice boltzmann methods , reynolds number , mechanics , vortex , pressure drop , mathematics , statistical physics , physics , geometry , thermodynamics , turbulence
The lattice Boltzmann method (LBM) with the fifteen‐velocity model is applied to simulations of isothermal flows in a three‐dimensional porous structure. A periodic boundary condition with a pressure difference at the inlet and outlet is presented. Flow characteristics at a pore scale and pressure drops through the porous structure are calculated for various Reynolds numbers. It is found that at high Reynolds numbers, unsteady vortices appear behind bodies and the flow field becomes time‐dependent. Calculated pressure drops through the structure are compared with well‐known empirical equations based on experimental data. The results agree well with the Blake–Kozeny equation for low Reynolds numbers and with the Ergun equation for high Reynolds numbers. Copyright © 1999 John Wiley & Sons, Ltd.