Moving stone in the Hele-Shaw flow
Fluid Dynamics
2015-05-13 v2 Numerical Analysis
Abstract
Asymptotic analysis of the Hele-Shaw flow with a small moving obstacle is performed. The method of solution utilises the uniform asymptotic formulas for Green's and Neumann functions recently obtained by V. Maz'ya and A. Movchan. Theoretical results of the paper are illustrated by the numerical simulations.
Cite
@article{arxiv.1404.3547,
title = {Moving stone in the Hele-Shaw flow},
author = {Gennady Mishuris and Sergei Rogosin and Michal Wrobel},
journal= {arXiv preprint arXiv:1404.3547},
year = {2015}
}
Comments
29 pages, 14 figures