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A highly accurate boundary integral equation method for surfactant-laden drops in 3D
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.). KTH, Skolan för teknikvetenskap (SCI), Centra, Linné Flow Center, FLOW. KTH, Centra, SeRC - Swedish e-Science Research Centre.
KTH, Skolan för teknikvetenskap (SCI), Matematik (Inst.). KTH, Skolan för teknikvetenskap (SCI), Centra, Linné Flow Center, FLOW. KTH, Centra, SeRC - Swedish e-Science Research Centre.
2018 (engelsk)Inngår i: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 360, s. 167-191Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

The presence of surfactants alters the dynamics of viscous drops immersed in an ambient viscous fluid. This is specifically true at small scales, such as in applications of droplet based microfluidics, where the interface dynamics become of increased importance. At such small scales, viscous forces dominate and inertial effects are often negligible. Considering Stokes flow, a numerical method based on a boundary integral formulation is presented for simulating 3D drops covered by an insoluble surfactant. The method is able to simulate drops with different viscosities and close interactions, automatically controlling the time step size and maintaining high accuracy also when substantial drop deformation appears. To achieve this, the drop surfaces as well as the surfactant concentration on each surface are represented by spherical harmonics expansions. A novel reparameterization method is introduced to ensure a high-quality representation of the drops also under deformation, specialized quadrature methods for singular and nearly singular integrals that appear in the formulation are evoked and the adaptive time stepping scheme for the coupled drop and surfactant evolution is designed with a preconditioned implicit treatment of the surfactant diffusion.

sted, utgiver, år, opplag, sider
Academic Press, 2018. Vol. 360, s. 167-191
Emneord [en]
Boundary integral method, Spherical harmonics, Stokes flow, Surfactant
HSV kategori
Identifikatorer
URN: urn:nbn:se:kth:diva-227585DOI: 10.1016/j.jcp.2018.01.033ISI: 000428966300010Scopus ID: 2-s2.0-85041629805OAI: oai:DiVA.org:kth-227585DiVA, id: diva2:1205843
Forskningsfinansiär
Knut and Alice Wallenberg Foundation, KAW 2013.0339Swedish e‐Science Research Center
Merknad

QC 20180515

Tilgjengelig fra: 2018-05-15 Laget: 2018-05-15 Sist oppdatert: 2018-05-15bibliografisk kontrollert

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Tornberg, Anna-Karin

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