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

Gennady Mishuris; Sergei Rogosin; Michal Wrobel

doi:10.1112/S0025579314000461

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

Gennady Mishuris, Sergei Rogosin, Michal Wrobel

Department of Mathematics

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

102 Downloads (Pure)

Abstract

Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilizes the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. The theoretical results of the paper are illustrated by numerical simulations.

Original language	English
Pages (from-to)	457-474
Number of pages	18
Journal	Mathematika
Volume	61
Issue number	2
DOIs	https://doi.org/10.1112/S0025579314000461
Publication status	Published - May 2015

Keywords

UNIFORM ASYMPTOTICS
BOUNDARY-PROBLEM
GREENS KERNELS
TOOLBOX
DOMAINS
MATLAB

Access to Document

10.1112/S0025579314000461

Simulating the Hele-Shaw flow in the presence of various obstacles and moving particlesAccepted author manuscript, 1.08 MB

Permanent link

Persistent link

Cite this

@article{2d927ae0409c4c0a864477e484b1195e,

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

abstract = "Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilizes the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. The theoretical results of the paper are illustrated by numerical simulations.",

keywords = "UNIFORM ASYMPTOTICS, BOUNDARY-PROBLEM, GREENS KERNELS, TOOLBOX, DOMAINS, MATLAB",

author = "Gennady Mishuris and Sergei Rogosin and Michal Wrobel",

year = "2015",

month = may,

doi = "10.1112/S0025579314000461",

language = "English",

volume = "61",

pages = "457--474",

journal = "Mathematika",

issn = "0025-5793",

publisher = "University College London",

number = "2",

}

TY - JOUR

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

AU - Mishuris, Gennady

AU - Rogosin, Sergei

AU - Wrobel, Michal

PY - 2015/5

Y1 - 2015/5

N2 - Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilizes the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. The theoretical results of the paper are illustrated by numerical simulations.

AB - Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilizes the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. The theoretical results of the paper are illustrated by numerical simulations.

KW - UNIFORM ASYMPTOTICS

KW - BOUNDARY-PROBLEM

KW - GREENS KERNELS

KW - TOOLBOX

KW - DOMAINS

KW - MATLAB

UR - http://hdl.handle.net/2160/30502

U2 - 10.1112/S0025579314000461

DO - 10.1112/S0025579314000461

M3 - Article

SN - 0025-5793

VL - 61

SP - 457

EP - 474

JO - Mathematika

JF - Mathematika

IS - 2

ER -

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

Abstract

Keywords

Access to Document

Permanent link

Other files and links

Fingerprint

Cite this