Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf
An accurate integral equation method for simulating multi-phase Stokes flow
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA. KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, 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
Abstract [en]

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 [17], 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 [11] 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.
Keyword [en]
Integral equations, Specialized quadrature, Near singular integrals, Immiscible fluids, Stokes flow
National Category
Computational Mathematics Fluid Mechanics and Acoustics
Identifiers
URN: urn:nbn:se:kth:diva-173127DOI: 10.1016/j.jcp.2015.06.002ISI: 000358796700009Scopus ID: 2-s2.0-84935025405OAI: oai:DiVA.org:kth-173127DiVA: diva2:855092
Funder
Swedish Research Council, 2011-3178
Note

QC 20150918

Available from: 2015-09-18 Created: 2015-09-07 Last updated: 2017-12-04Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full textScopus

Search in DiVA

By author/editor
Ojala, RikardTornberg, Anna-Karin
By organisation
Mathematics (Dept.)Linné Flow Center, FLOWNumerical Analysis, NA
In the same journal
Journal of Computational Physics
Computational MathematicsFluid Mechanics and Acoustics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 59 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf