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The extended finite element method for rigid particles in Stokes flow. (English) Zbl 0998.76054
Summary: We describe a new method for simulation of particulate flows, based on the extended finite element method. In this method, the particle surfaces need not conform to 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 a simple enforcement of boundary conditions and improved accuracy over other methods on a coarse mesh. We present a weak form of equations of motion useful for the simulation of freely moving particles, and solve example problems for particles with prescribed and unknown velocities.

MSC:
76M10Finite element methods (fluid mechanics)
76T20Suspensions
76D07Stokes and related (Oseen, etc.) flows
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