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

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

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

8 Dyfyniadau (Scopus)
306 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

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 wreiddiolSaesneg
Tudalennau (o-i)1041-1055
Nifer y tudalennau15
CyfnodolynMeccanica
Cyfrol51
Rhif cyhoeddi5
Dyddiad ar-lein cynnar08 Medi 2015
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Mai 2016

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