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Simulation of Suspensions of Curved Fibers.
KTH, School of Computer Science and Communication (CSC).
2012 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

Yazid Al-Hassan

Simulation of Suspensions of Curved Fibers

The thesis at hand presents a numerical method for simulations of the dynamics of slender rigid fibers immersed in an incompressible fluid. The underlying mathematical formulation is based on a slender body approximation as applied to a boundary integral equation for Stokes flow. The curvature and torsion of the fibers can be arbitrarily specified, and we consider fiber shapes ranging from moderately bent to high curvature helical shapes. Two different settings are considered; naturally buoyant fibers in shear flow and heavier fibers sedimenting due to gravity. The dynamics show a very rich behavior, with fiber trajectories that display a very different degree of regularity depending on the initial conditions and fiber shape.

Abstract [sv]

Yazid Al-Hassan

Simulering av Suspensioner av Böjda fibrer

Detta examensarbete beskriver en numerisk metod för simulering av stela, slanka fibrer i en inkompressibel vätska. Den underliggande matematiska formuleringen är en randintegral formulering för slanka objekt i Stokes flöden. Kurvatur och vridning av fibrerna kan fritt specificeras, och vi inkluderar varierande fiber former, från något böjda till helix formade fibrer med hög kurvatur. Vi studerar två olika situationer; fibrer i skjuvströming och tyngre fibrer som sedimenterar under gravitation. Resultat från simuleringarna visar ett dynamiskt väldigt rikt beteende, med fiber trajektorier som uppvisar mycket olika grad av regularitet beroende på initial konfiguration och fiber form.

Place, publisher, year, edition, pages
Trita-CSC-E, ISSN 1653-5715 ; 2012:027
National Category
Computational Mathematics
URN: urn:nbn:se:kth:diva-130911OAI: diva2:654357
Educational program
Master of Science - Mathematics
Physics, Chemistry, Mathematics
Available from: 2013-10-07 Created: 2013-10-07

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