Numerical Computation of Doubly-Periodic Stokes Flow Bounded by a Plane with Applications to Nodal Cilia

DOI10.4208/cicp.OA-2016-0151zbMath1488.76033OpenAlexW2730728977MaRDI QIDQ5159016

Franz Hoffmann, Ricardo Cortez

Publication date: 26 October 2021

Published in: Communications in Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/cicp.oa-2016-0151

zbMATH Keywords

Stokes flowFFTEwald summation

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Biological fluid mechanics (76Z99) Computational methods for problems pertaining to biology (92-08)

Related Items (4)

BIOLOGICAL FLUID MECHANICS UNDER THE MICROSCOPE: A TRIBUTE TO JOHN BLAKE ⋮ Fast algorithms for large dense matrices with applications to biofluids ⋮ Universal image systems for non-periodic and periodic Stokes flows above a no-slip wall ⋮ Simulation study on the mass transport based on the ciliated dynamic system of the respiratory tract

Uses Software

• SciPy
• Matplotlib

Cites Work

• Unnamed Item
• A fast numerical method for computing doubly-periodic regularized Stokes flow in 3D
• Slender body theory for Stokes flows with regularized forces
• A general system of images for regularized stokeslets and other elements near a plane wall
• The method of images for regularized Stokeslets
• Computation of the singular and regularized image systems for doubly-periodic Stokes flow in the presence of a wall
• Discrete cilia modelling with singularity distributions: Application to the embryonic node and the airway surface liquid
• The Method of Regularized Stokeslets
• Microfluidic propulsion by the metachronal beating of magnetic artificial cilia: a numerical analysis
• The method of regularized Stokeslets in three dimensions:  Analysis, validation, and application to helical swimming
• The discrete-cilia approach to propulsion of ciliated micro-organisms
• Cilia internal mechanism and metachronal coordination as the result of hydrodynamical coupling
• Energetic considerations of ciliary beating and the advantage of metachronal coordination
• A spherical envelope approach to ciliary propulsion
• A model for the micro-structure in ciliated organisms

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