On the Stokes flow computation algorithm based on woodbury formula
Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 1, pp. 140-145
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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.
@article{NANO_2015_6_1_a10,
author = {A. I. Popov and I. S. Lobanov and I. Yu. Popov and T. V. Gerya},
title = {On the {Stokes} flow computation algorithm based on woodbury formula},
journal = {Nanosistemy: fizika, himi\^a, matematika},
pages = {140--145},
publisher = {mathdoc},
volume = {6},
number = {1},
year = {2015},
language = {en},
url = {http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a10/}
}
TY - JOUR AU - A. I. Popov AU - I. S. Lobanov AU - I. Yu. Popov AU - T. V. Gerya TI - On the Stokes flow computation algorithm based on woodbury formula JO - Nanosistemy: fizika, himiâ, matematika PY - 2015 SP - 140 EP - 145 VL - 6 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a10/ LA - en ID - NANO_2015_6_1_a10 ER -
%0 Journal Article %A A. I. Popov %A I. S. Lobanov %A I. Yu. Popov %A T. V. Gerya %T On the Stokes flow computation algorithm based on woodbury formula %J Nanosistemy: fizika, himiâ, matematika %D 2015 %P 140-145 %V 6 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a10/ %G en %F NANO_2015_6_1_a10
A. I. Popov; I. S. Lobanov; I. Yu. Popov; T. V. Gerya. On the Stokes flow computation algorithm based on woodbury formula. Nanosistemy: fizika, himiâ, matematika, Tome 6 (2015) no. 1, pp. 140-145. http://geodesic.mathdoc.fr/item/NANO_2015_6_1_a10/