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A pressure correction method for fluid–particle interaction flow: Direct‐forcing method and sedimentation flow
Author(s) -
Lin SanYih,
Chin YaHsien,
Hu JeuJiun,
Chen YiCheng
Publication year - 2010
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.2442
Subject(s) - mechanics , immersed boundary method , forcing (mathematics) , particle (ecology) , compressibility , flow (mathematics) , pressure correction method , incompressible flow , sedimentation , physics , direct numerical simulation , divergence theorem , classical mechanics , boundary (topology) , mathematics , mathematical analysis , turbulence , geology , reynolds number , paleontology , oceanography , sediment , brouwer fixed point theorem , fixed point theorem
Abstract A direct‐forcing pressure correction method is developed to simulate fluid–particle interaction problems. In this paper, the sedimentation flow is investigated. This method uses a pressure correction method to solve incompressible flow fields. A direct‐forcing method is introduced to capture the particle motions. It is found that the direct‐forcing method can also be served as a wall‐boundary condition. By applying Gauss's divergence theorem, the formulas for computing the hydrodynamic force and torque acting on the particle from flows are derived from the volume integral of the particle instead of the particle surface. The order of accuracy of the present method is demonstrated by the errors of velocity, pressure, and wall stress. To demonstrate the efficiency and capability of the present method, sedimentations of many spherical particles in an enclosure are simulated. Copyright © 2010 John Wiley & Sons, Ltd.