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Numerical Simulations of Rigid Fiber Suspensions
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0002-8998-985X
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2008 (English)Conference paper (Refereed)
Abstract [en]

In this paper, we present a numerical method designed to simulate the

challenging problem of the dynamics of slender fibers immersed in an incompressible

fluid. Specifically, we consider microscopic, rigid fibers, that

sediment due to gravity. Such fibers make up the micro-structure of many

suspensions for which the macroscopic dynamics are not well understood.

Our numerical algorithm is based on a non-local slender body approximation

that yields a system of coupled integral equations, relating the forces

exerted on the fibers to their velocities, which takes into account the hydrodynamic

interactions of the fluid and the fibers. The system is closed by

imposing the constraints of rigid body motions.

The fact that the fibers are straight have been further exploited in the

design of the numerical method, expanding the force on Legendre polynomials

to take advantage of the specific mathematical structure of a finite-part

integral operator, as well as introducing analytical quadrature in a manner

possible only for straight fibers.

We have carefully treated issues of accuracy, and present convergence

results for all numerical parameters before we finally discuss the results from

simulations including a larger number of fibers.

Place, publisher, year, edition, pages
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-59503OAI: diva2:475618
MicroFluidics, Bologna, Italy, December 10-12, 2008
QC 20120125Available from: 2012-01-11 Created: 2012-01-11 Last updated: 2012-02-26Bibliographically approved

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Gustavsson, KatarinaTornberg, Anna Karin
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