Numerical solution of two-dimensional stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates

A. S. Dvinsky; A. S. Popel

doi:10.1016/0021-9991(86)90116-6

Numerical solution of two-dimensional stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates

A. S. Dvinsky, A. S. Popel

School of Medicine

Research output: Contribution to journal › Article › peer-review

7 Scopus citations

Abstract

A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the cases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.

Original language	English (US)
Pages (from-to)	73-90
Number of pages	18
Journal	Journal of Computational Physics
Volume	67
Issue number	1
DOIs	https://doi.org/10.1016/0021-9991(86)90116-6
State	Published - Nov 1986

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

Access to Document

10.1016/0021-9991(86)90116-6

Cite this

@article{1674ed11e964475ab6bd75f9d946b44f,

title = "Numerical solution of two-dimensional stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates",

abstract = "A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the cases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.",

author = "Dvinsky, {A. S.} and Popel, {A. S.}",

year = "1986",

month = nov,

doi = "10.1016/0021-9991(86)90116-6",

language = "English (US)",

volume = "67",

pages = "73--90",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Numerical solution of two-dimensional stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates

AU - Dvinsky, A. S.

AU - Popel, A. S.

PY - 1986/11

Y1 - 1986/11

N2 - A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the cases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.

AB - A numerical scheme is proposed for the solution of two-dimensional Stokes equations in a multiconnected domain. The numerical procedure is based on a finite-difference solution of the governing equations in general curvilinear coordinates. Several examples of calculations are presented for a circular particle in a plane channel; the results are compared to known analytical solutions. The proposed scheme is applicable to the cases of flow around multiple stationary or moving particles of arbitrary shape in channels of arbitrary shape.

UR - http://www.scopus.com/inward/record.url?scp=46149134561&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=46149134561&partnerID=8YFLogxK

U2 - 10.1016/0021-9991(86)90116-6

DO - 10.1016/0021-9991(86)90116-6

M3 - Article

AN - SCOPUS:46149134561

SN - 0021-9991

VL - 67

SP - 73

EP - 90

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 1

ER -

Numerical solution of two-dimensional stokes equations for flow with particles in a channel of arbitrary shape using boundary-conforming coordinates

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this