Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles

D. Peck; Sergei Rogosin; Michal Wrobel; Gennady Mishuris

doi:10.1007/s11012-015-0271-4

Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles

D. Peck, Sergei Rogosin, Michal Wrobel, Gennady Mishuris

Adran Mathemateg

Belarusian State University

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

8 Dyfyniadau (Scopus)

347 Wedi eu Llwytho i Lawr (Pure)

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A generalization of the approach developed in the recent papers by the authors is presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple small obstacles/moving particles. We perform an asymptotic analysis of the dynamics of the moving boundary and the moving particles. For this, a modification of Maz'ya-Movchan-Nieves uniform asymptotic formula for the Green's function of the mixed boundary value problem for the Laplace equation in a multiply connected domain is utilized. The paper contains extensive numerical analysis, accounting for various physical mechanisms of particle movement in the Hele-Shaw flow.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	1041-1055
Nifer y tudalennau	15
Cyfnodolyn	Meccanica
Cyfrol	51
Rhif cyhoeddi	5
Dyddiad ar-lein cynnar	08 Medi 2015
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1007/s11012-015-0271-4
Statws	Cyhoeddwyd - 01 Mai 2016

Mynediad at Ddogfen

10.1007/s11012-015-0271-4

Simulating the Hele-Shaw flow in the presence of various obstacles and moving particlesLlawysgrif awdur wedi’i dderbyn, 1.08 MB

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http://hdl.handle.net/2160/43020

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title = "Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles",

abstract = "A generalization of the approach developed in the recent papers by the authors is presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple small obstacles/moving particles. We perform an asymptotic analysis of the dynamics of the moving boundary and the moving particles. For this, a modification of Maz'ya-Movchan-Nieves uniform asymptotic formula for the Green's function of the mixed boundary value problem for the Laplace equation in a multiply connected domain is utilized. The paper contains extensive numerical analysis, accounting for various physical mechanisms of particle movement in the Hele-Shaw flow.",

keywords = "Hele-Shaw flow, Point source/sink, Moving obstacles, Green's function, Neumann function, Mixed boundary value problem, Asymptotic analysis, Numerical simulation, UNIFORM ASYMPTOTICS, HYDRAULIC FRACTURE, GREENS KERNELS, TOOLBOX, DOMAINS, MATLAB",

author = "D. Peck and Sergei Rogosin and Michal Wrobel and Gennady Mishuris",

note = "This is the author accepted manuscript. The final version is available from Springer via http://dx.doi.org/10.1007/s11012-015-0271-4",

year = "2016",

month = may,

day = "1",

doi = "10.1007/s11012-015-0271-4",

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T1 - Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles

AU - Peck, D.

AU - Rogosin, Sergei

AU - Wrobel, Michal

AU - Mishuris, Gennady

N1 - This is the author accepted manuscript. The final version is available from Springer via http://dx.doi.org/10.1007/s11012-015-0271-4

PY - 2016/5/1

Y1 - 2016/5/1

N2 - A generalization of the approach developed in the recent papers by the authors is presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple small obstacles/moving particles. We perform an asymptotic analysis of the dynamics of the moving boundary and the moving particles. For this, a modification of Maz'ya-Movchan-Nieves uniform asymptotic formula for the Green's function of the mixed boundary value problem for the Laplace equation in a multiply connected domain is utilized. The paper contains extensive numerical analysis, accounting for various physical mechanisms of particle movement in the Hele-Shaw flow.

AB - A generalization of the approach developed in the recent papers by the authors is presented. It aims to provide a description of the Hele-Shaw cell in the presence of multiple small obstacles/moving particles. We perform an asymptotic analysis of the dynamics of the moving boundary and the moving particles. For this, a modification of Maz'ya-Movchan-Nieves uniform asymptotic formula for the Green's function of the mixed boundary value problem for the Laplace equation in a multiply connected domain is utilized. The paper contains extensive numerical analysis, accounting for various physical mechanisms of particle movement in the Hele-Shaw flow.

KW - Hele-Shaw flow

KW - Point source/sink

KW - Moving obstacles

KW - Green's function

KW - Neumann function

KW - Mixed boundary value problem

KW - Asymptotic analysis

KW - Numerical simulation

KW - UNIFORM ASYMPTOTICS

KW - HYDRAULIC FRACTURE

KW - GREENS KERNELS

KW - TOOLBOX

KW - DOMAINS

KW - MATLAB

UR - http://hdl.handle.net/2160/43020

U2 - 10.1007/s11012-015-0271-4

DO - 10.1007/s11012-015-0271-4

M3 - Article

SN - 0025-6455

VL - 51

SP - 1041

EP - 1055

JO - Meccanica

JF - Meccanica

IS - 5

ER -

Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles

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