The art of coarse Stokes: Richardson extrapolation improves the accuracy and efficiency of the method of regularized stokeslets [PDF]
Royal Society Open Science, 2021 The method of regularized stokeslets is widely used in microscale biological fluid dynamics due to its ease of implementation, natural treatment of complex moving geometries, and removal of singular functions to integrate.
M. T. Gallagher, D. J. Smith
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Squirmer hydrodynamics near a periodic surface topography [PDF]
Frontiers in Cell and Developmental Biology, 2023 The behaviour of microscopic swimmers has previously been explored near large-scale confining geometries and in the presence of very small-scale surface roughness.
Kenta Ishimoto +2 more
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Remarks on Regularized Stokeslets in Slender Body Theory [PDF]
Fluids, 2021 We remark on the use of regularized Stokeslets in the slender body theory (SBT) approximation of Stokes flow about a thin fiber of radius ϵ>0. Denoting the regularization parameter by δ, we consider regularized SBT based on the most common regularized ...
Laurel Ohm
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Passively parallel regularized stokeslets. [PDF]
Philos Trans A Math Phys Eng Sci, 2020 Stokes flow, discussed by G.G. Stokes in 1851, describes many microscopic biological flow phenomena, including cilia-driven transport and flagellar motility; the need to quantify and understand these flows has motivated decades of mathematical and computational research.
Gallagher MT, Smith DJ.
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A Framework for Generating Radial and Surface-Oriented Regularized Stokeslets. [PDF]
Fluids (Basel), 2022 Error in the method of regularized Stokeslets is highly dependent on the choice of the blob or regularization function that is utilized to handle singularities in the flow. In this work, we develop a general framework to choose regularizations at the level of the vector potential via smoothing factors.
Chisholm NG, Olson SD.
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On the limitations of some popular numerical models of flagellated microswimmers: importance of long-range forces and flagellum waveform [PDF]
Royal Society Open Science, 2019 For a sperm-cell-like flagellated swimmer in an unbounded domain, several numerical models of different fidelity are considered based on the Stokes flow approximation.
C. Rorai, M. Zaitsev, S. Karabasov
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Axisymmetric flow due to a Stokeslet near a finite-sized elastic membrane [PDF]
Journal of the Physical Society of Japan, 2019 Elastic confinements play an important role in many soft matter systems and affect the transport properties of suspended particles in viscous flow. On the basis of low-Reynolds-number hydrodynamics, we present an analytical theory of the axisymmetric ...
Daddi-Moussa-Ider, Abdallah +2 more
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Quasi-stokeslet induced by thermoplasmonic Marangoni effect around a water vapor microbubble. [PDF]
Sci Rep, 2017 AbstractRapid Marangoni flows around a water vapor microbubble (WVMB) is investigated using the thermoplasmonic effect of a gold nanoisland film (GNF). By focusing a laser onto the GNF, a stable WVMB with a diameter of ~10 μm is generated in degassed water, while an air bubble generated in non-degassed water is larger than 40 μm.
Namura K, Nakajima K, Suzuki M.
europepmc +4 more sources
The use of dual reciprocity method for 2D laminar viscous flow [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the dual reciprocity multidomain singular boundary method (SBMDR) for the solution of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj
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Lid-driven cavity flow using dual reciprocity [PDF]
MATEC Web of Conferences, 2020 The paper presents the use of the multi-domain dual reciprocity method of fundamental solutions (MD-MFSDR) for the analysis of the laminar viscous flow problem described by Navier-Stokes equations.
Mužík Juraj, Bulko Roman
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