Hele-Shaw flow with a small obstacle

Gennady Mishuris; Sergei Rogosin; Michal Wrobel

doi:10.1007/s11012-014-9919-8

Hele-Shaw flow with a small obstacle

Gennady Mishuris, Sergei Rogosin^*, Michal Wrobel

^*Corresponding author for this work

Department of Mathematics

Belarusian State University

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

8 Citations (Scopus)

227 Downloads (Pure)

Abstract

Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.

Original language	English
Pages (from-to)	2037-2047
Number of pages	11
Journal	Meccanica
Volume	49
Issue number	9
Early online date	15 May 2014
DOIs	https://doi.org/10.1007/s11012-014-9919-8
Publication status	Published - 01 Sept 2014

Keywords

Hele-Shaw flow
Obstacle
Green's function
Neumann function
Asymptotic analysis
MOVING BOUNDARY-PROBLEM
UNIFORM ASYMPTOTICS
NUMERICAL TREATMENT
PERFORATED DOMAINS
GREENS KERNELS
REGULARIZATION
TOOLBOX
MODELS
MATLAB
PLANE

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AU - Mishuris, Gennady

AU - Rogosin, Sergei

AU - Wrobel, Michal

PY - 2014/9/1

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N2 - Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.

AB - Asymptotic analysis of the flow passing over a small obstacle in the Hele-Shaw cell is performed. The results are based on the asymptotic formulas for Green's and Neumann functions recently obtained by Maz'ya and Movchan. Theoretical results are illustrated by the numerical simulations.

KW - Hele-Shaw flow

KW - Obstacle

KW - Green's function

KW - Neumann function

KW - Asymptotic analysis

KW - MOVING BOUNDARY-PROBLEM

KW - UNIFORM ASYMPTOTICS

KW - NUMERICAL TREATMENT

KW - PERFORATED DOMAINS

KW - GREENS KERNELS

KW - REGULARIZATION

KW - TOOLBOX

KW - MODELS

KW - MATLAB

KW - PLANE

UR - http://hdl.handle.net/2160/30080

U2 - 10.1007/s11012-014-9919-8

DO - 10.1007/s11012-014-9919-8

M3 - Article

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VL - 49

SP - 2037

EP - 2047

JO - Meccanica

JF - Meccanica

IS - 9

ER -

Hele-Shaw flow with a small obstacle

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Keywords

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