The extended finite element method for rigid particles in Stokes flow | Zendy

Wagner G. J. | Zendy; Moës N. | Zendy; Liu W. K. | Zendy; Belytschko T. | Zendy

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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 , flow (mathematics) , particle (ecology) , simple (philosophy) , partition of unity , mechanics , mixed finite element method , computer science , mathematics , 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.

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