Results 1 to 10 of about 495 (113)
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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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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The art of coarse Stokes: Richardson extrapolation improves the accuracy and efficiency of the method of regularized stokeslets. [PDF]
R Soc Open Sci, 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. The standard implementation of the method is subject to high computational cost due to the coupling of the linear system size to ...
Gallagher MT, Smith DJ.
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Impact of Segmented Magnetization on the Flagellar Propulsion of Sperm-Templated Microrobots. [PDF]
Adv Sci (Weinh), 2021 Sperm‐templated flexible magnetic microrobots are categorized based on the location and combination of their magnetic segments. The different magnetization profiles lead to distinct wave patterns once exposed to rotating 3D magnetic fields. This results in a variety of frequency responses, flow fields surrounding the microrobots and propulsive thrust ...
Magdanz V +7 more
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Sharp quadrature error bounds for the nearest-neighbor discretization of the regularized stokeslet boundary integral equation [PDF]
SIAM Journal on Scientific Computing, 2018 The method of regularized stokeslets is a powerful numerical method to solve the Stokes flow equations for problems in biological fluid mechanics. A recent variation of this method incorporates a nearest-neighbor discretization to improve accuracy and ...
Choudhuri, Debajyoti +2 more
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A boundary element regularised Stokeslet method applied to cilia and flagella-driven flow [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2009 A boundary element implementation of the regularised Stokeslet method of Cortez is applied to cilia and flagella-driven flows in biology. Previously-published approaches implicitly combine the force discretisation and the numerical quadrature used to ...
Burgers J. M., Gray J., Sanderson M. J.
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Hybrid modeling frameworks of tumor development and treatment. [PDF]
Wiley Interdiscip Rev Syst Biol Med, 2020 Hybrid modeling framework of cancer combines three classes of mathematical models: data‐driven, physics‐based, and optimization for development of a clinically relevant and quantitative decision‐making system for personalized medicine. Abstract Tumors are complex multicellular heterogeneous systems comprised of components that interact with and modify ...
Chamseddine IM, Rejniak KA.
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Bipolar lophotrichous Helicobacter suis combine extended and wrapped flagella bundles to exhibit multiple modes of motility. [PDF]
Sci Rep, 2018 The swimming strategies of unipolar flagellated bacteria are well known but little is known about how bipolar bacteria swim. Here we examine the motility of Helicobacter suis, a bipolar gastric-ulcer-causing bacterium that infects pigs and humans.
Constantino MA +7 more
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Regularized Stokeslets Lines Suitable for Slender Bodies in Viscous Flow [PDF]
Fluids, 2021 Slender-body approximations have been successfully used to explain many phenomena in low-Reynolds number fluid mechanics. These approximations typically use a line of singularity solutions to represent flow. These singularities can be difficult to implement numerically because they diverge at their origin.
Zhao, Boan, Koens, Lyndon
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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 Stokeslet plus a regularized doublet correction.
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