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Nanosystems: Physics, Chemistry, Mathematics, 2015, Volume 6, Issue 1, Pages 140–145
DOI: https://doi.org/10.17586/2220-8054-2015-6-1-140-145 (Mi nano927) 		 
This article is cited in 3 scientific papers (total in 3 papers)

On the Stokes flow computation algorithm based on woodbury formula

A. I. Popova, I. S. Lobanova, I. Yu. Popova, T. V. Geryab

a ITMO University, Kronverkskiy 49, 197101, St. Petersburg, Russia
b Institute of Geophysics, Department of Earth Sciences, Swiss Federal Instituteof Technology Zurich (ETH), 5 Sonnegstrasse, CH-8092 Zurich, Switzerland
Full-text PDF (207 kB) Citations (3)
DOI: https://doi.org/10.17586/2220-8054-2015-6-1-140-145
Abstract: The Stokes approximation is used for the description of flow in nanostructures. An algorithm for Stokes flow computation in cases when there is great variation in the viscosity over a small spatial region is described. This method allows us to overcome computational di culties of the finite-di fference method. The background of the approach is using the Woodbury formula – a discrete analog of the Krein resolvent formula. The particular example of a rectangular domain is considered in detail. The inversion of the discrete Stokes operator is made in analytic form for the case of constant viscosity.
Keywords: nanotube, Stokes flow, finite-difference method.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 074-U01
14.Z50.31.0031
MK-5001.2015.1
This work was partially financially supported by the Government of the Russian Federation (grant 074-U01), by the Ministry of Science and Education of the Russian Federation (GOSZADANIE 2014/190, Project 14.Z50.31.0031), by grant MK-5001.2015.1 of the President of the Russian Federation.
Received: 01.12.2014
Revised: 04.01.2015
Bibliographic databases:
Document Type: Article
PACS: 47.10.ad, 47.11.Fg
Language: English
Citation: A. I. Popov, I. S. Lobanov, I. Yu. Popov, T. V. Gerya, “On the Stokes flow computation algorithm based on woodbury formula”, Nanosystems: Physics, Chemistry, Mathematics, 6:1 (2015), 140–145
Citation in format AMSBIB
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\by A.~I.~Popov, I.~S.~Lobanov, I.~Yu.~Popov, T.~V.~Gerya
\paper On the Stokes flow computation algorithm based on woodbury formula
\jour Nanosystems: Physics, Chemistry, Mathematics
\yr 2015
\vol 6
\issue 1
\pages 140--145
\mathnet{http://mi.mathnet.ru/nano927}
\crossref{https://doi.org/10.17586/2220-8054-2015-6-1-140-145}
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\elib{https://elibrary.ru/item.asp?id=23028277}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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