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The extended finite element method for rigid particles in Stokes flow
Author(s) -
Wagner G. J.,
Moës N.,
Liu W. K.,
Belytschko T.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.169
Subject(s) - finite element method , extended finite element method , discrete element method , boundary knot method , mixed finite element method , flow (mathematics) , particle (ecology) , partition of unity , simple (philosophy) , finite element limit analysis , mechanics , smoothed finite element method , mathematics , mathematical analysis , geometry , boundary element method , physics , engineering , structural engineering , geology , philosophy , oceanography , epistemology
A new method for the simulation of particulate flows, based on the extended finite element method (X‐FEM), is described. In this method, the particle surfaces need not conform to the finite element boundaries, so that moving particles can be simulated without remeshing. The near field form of the fluid flow about each particle is built into the finite element basis using a partition of unity enrichment, allowing the simple enforcement of boundary conditions and improved accuracy over other methods on a coarse mesh. We present a weak form of the equations of motion useful for the simulation of freely moving particles, and solve example problems for particles with prescribed and unknown velocities. Copyright © 2001 John Wiley & Sons, Ltd.