The numerical literature for 3D surfactant-laden drops placed in electric fields is extremely limited due to the difficulties associated with the deforming drop surfaces, interface conditions and the multi-physics nature of the problem. Our numerical method is based on a boundary integral formulation of the Stokes equations and the leaky-dieletric model; it is able to simulate multiple drops with different viscosities covered by an insoluble surfactant; it is adaptive in time and uses special quadrature methods to deal with the singular and nearly-singular integrals that appear in the formulation. In this proceeding we will show how the method is able to maintain a high quality representation of the drops even under substantial deformations due to strong electric fields.

Numerical simulation of 3D surfactant-covered drops in a strong electric field / Sorgentone, C.; Tornberg, A. -K.. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - 76:2(2018), pp. 199-206.

Numerical simulation of 3D surfactant-covered drops in a strong electric field

Sorgentone C.
Primo
;
2018

Abstract

The numerical literature for 3D surfactant-laden drops placed in electric fields is extremely limited due to the difficulties associated with the deforming drop surfaces, interface conditions and the multi-physics nature of the problem. Our numerical method is based on a boundary integral formulation of the Stokes equations and the leaky-dieletric model; it is able to simulate multiple drops with different viscosities covered by an insoluble surfactant; it is adaptive in time and uses special quadrature methods to deal with the singular and nearly-singular integrals that appear in the formulation. In this proceeding we will show how the method is able to maintain a high quality representation of the drops even under substantial deformations due to strong electric fields.
2018
boundary integral method; spherical harmonics; strong electric fields
01 Pubblicazione su rivista::01a Articolo in rivista
Numerical simulation of 3D surfactant-covered drops in a strong electric field / Sorgentone, C.; Tornberg, A. -K.. - In: RENDICONTI DEL SEMINARIO MATEMATICO. - ISSN 0373-1243. - 76:2(2018), pp. 199-206.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1552803
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