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- Anna-Karin Tornberg, Michael J Shelley, M J Shelley
- 2004

The dynamics of slender filaments or fibers suspended in Stokesian fluids are fundamental to understanding many flows arising in physics, biology and engineering. Such filaments can have aspect ratios of length to radius ranging from a few tens to several thousands. Full discretizations of such 3D flows are very costly. Instead, we employ a non-local… (More)

a r t i c l e i n f o a b s t r a c t Keywords: Soluble surfactants Embedded boundary method Interface tracking Two-phase flows Strang splitting Marangoni forces Surfactants, surface reacting agents, lower the surface tension of the interface between fluids in multiphase flow. This capability of surfactants makes them ideal for many applications, including… (More)

Motivated by the locomotion of flagellated microorganisms and by recent experiments of chemically driven nanomachines, we study the dynamics of bodies of simple geometric shape that are propelled by specified tangential surface stresses. We develop a mathematical description of the body dynamics based on a mixed-type boundary integral formulation. We also… (More)

- Ludvig Af Klinteberg, Anna-Karin Tornberg
- 2014

We present a numerical method for suspensions of spheroids of arbitrary aspect ratio which sediment under gravity. The method is based on a periodized boundary integral formulation using the Stokes double layer potential. The resulting discrete system is solved iteratively using GMRES accelerated by the spectral Ewald (SE) method, which reduces the… (More)