This article is cited in 3 papers

On the Stokes flow computation algorithm based on woodbury formula

A. I. Popov^a, I. S. Lobanov^a, I. Yu. Popov^a, T. V. Gerya<sup>b

a</sup> 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

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.

PACS: 47.10.ad, 47.11.Fg

Received: 01.12.2014
Revised: 04.01.2015

Language: English

DOI: 10.17586/2220-8054-2015-6-1-140-145

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