ON THE STOKES FLOW COMPUTATION ALGORITHM BASED ON WOODBURY FORMULA

被引：5
|
作者：
Popov, A. I. [1 ]
Lobanovi, I. S. [1 ]
Popov, I. Yu. [1 ]
Gerya, T. V. [2 ]
机构：
[1] ITMO Univ, Kronverkskiy 49, St Petersburg 197101, Russia
[2] Swiss Fed Inst Technol Zurich ETH, Inst Geophys, Dept Earth Sci, CH-8092 Zurich, Switzerland
来源：
NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2015年 / 6卷 / 01期
关键词：
nanotube; Stokes flow; finite-difference method;
D O I：
10.17586/2220-8054-2015-6-1-140-145
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
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 difficulties of the finite-difference 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.
引用
收藏
页码：140 / 145
页数：6
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