Skip to Main content Skip to Navigation
Journal articles

Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields

Patrick Ciarlet 1 Claire Scheid 2, 3
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
Abstract : The electrowetting process is commonly used to handle very small amounts of liquid on a solid surface. This process can be modelled mathematically with the help of the shape optimization theory. However, solving numerically the resulting shape optimization problem is a very complex issue, even for reduced models that occur in simplified geometries. Recently, the second author obtained convincing results in the 2D axisymmetric case. In this paper, we propose and analyze a method that is suitable for the full 3D case. © EDP Sciences, SMAI, 2010.
Document type :
Journal articles
Complete list of metadatas

https://hal-ensta-paris.archives-ouvertes.fr//hal-00873057
Contributor : Aurélien Arnoux <>
Submitted on : Tuesday, October 15, 2013 - 11:43:01 AM
Last modification on : Tuesday, May 26, 2020 - 6:50:52 PM

Links full text

Identifiers

Citation

Patrick Ciarlet, Claire Scheid. Electrowetting of a 3D drop: Numerical modelling with electrostatic vector fields. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2010, 44 (4), pp.647-670. ⟨10.1051/m2an/2010014⟩. ⟨hal-00873057⟩

Share

Metrics

Record views

427