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Simulation and validation of surfactant-laden drops in two-dimensional Stokes flow
KTH, School of Engineering Sciences (SCI), Centres, Linné Flow Center, FLOW.
New Jersey Inst Technol, Dept Math Sci, Newark, NJ 07102 USA..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Numerical Analysis, NA.
2019 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 386, p. 218-247Article in journal (Refereed) Published
Abstract [en]

Performing highly accurate simulations of droplet systems is a challenging problem. This is primarily due to the interface dynamics which is complicated further by the addition of surfactants. This paper presents a boundary integral method for computing the evolution of surfactant-covered droplets in 2D Stokes flow. The method has spectral accuracy in space and the adaptive time-stepping scheme allows for control of the temporal errors. Previously available semi-analytical solutions (based on conformal-mapping techniques) are extended to include surfactants, and a set of algorithms is introduced to detail their evaluation. These semi-analytical solutions are used to validate and assess the accuracy of the boundary integral method, and it is demonstrated that the presented method maintains its high accuracy even when droplets are in close proximity. 

Place, publisher, year, edition, pages
ACADEMIC PRESS INC ELSEVIER SCIENCE , 2019. Vol. 386, p. 218-247
Keywords [en]
Insoluble surfactants, Stokes flow, Validation, Integral equations, Two-phase flow, Drop deformation, Special quadrature
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-251466DOI: 10.1016/j.jcp.2018.12.044ISI: 000464675600011Scopus ID: 2-s2.0-85062883114OAI: oai:DiVA.org:kth-251466DiVA, id: diva2:1316037
Note

QC 20190515

Available from: 2019-05-15 Created: 2019-05-15 Last updated: 2019-05-29Bibliographically approved

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Pålsson, SaraTornberg, Anna-Karin

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