An accurate integral equation method for simulating multi-phase Stokes flow
2015 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 298, 145-160 p.Article in journal (Refereed) Published
We introduce a numerical method based on an integral equation formulation for simulating drops in viscous fluids in the plane. It builds upon the method introduced by Kropinski in 2001 , but improves on it by adding an interpolatory quadrature approach for handling near-singular integrals. Such integrals typically arise when drop boundaries come close to one another, and are difficult to compute accurately using standard quadrature rules. Adapting the interpolatory quadrature method introduced by Helsing and Ojala in 2008  to the current application, very general drop configurations can be handled while still maintaining stability and high accuracy. The performance of the new method is demonstrated by some challenging numerical examples.
Place, publisher, year, edition, pages
2015. Vol. 298, 145-160 p.
Integral equations, Specialized quadrature, Near singular integrals, Immiscible fluids, Stokes flow
Computational Mathematics Fluid Mechanics and Acoustics
IdentifiersURN: urn:nbn:se:kth:diva-173127DOI: 10.1016/j.jcp.2015.06.002ISI: 000358796700009ScopusID: 2-s2.0-84935025405OAI: oai:DiVA.org:kth-173127DiVA: diva2:855092
FunderSwedish Research Council, 2011-3178
QC 201509182015-09-182015-09-072015-09-18Bibliographically approved