Ganesan, Sashikumaar and Tobiska, Lutz (2012) Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants. In: JOURNAL OF COMPUTATIONAL PHYSICS, 231 (9). pp. 3685-3702.
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A finite-element scheme based on a coupled arbitrary Lagrangian-Eulerian and Lagrangian approach is developed for the computation of interface flows with soluble surfactants. The numerical scheme is designed to solve the time-dependent Navier-Stokes equations and an evolution equation for the surfactant concentration in the bulk phase, and simultaneously, an evolution equation for the surfactant concentration on the interface. Second-order isoparametric finite elements on moving meshes and second-order isoparametric surface finite elements are used to solve these equations. The interface-resolved moving meshes allow the accurate incorporation of surface forces, Marangoni forces and jumps in the material parameters. The lower-dimensional finite-element meshes for solving the surface evolution equation are part of the interface-resolved moving meshes. The numerical scheme is validated for problems with known analytical solutions. A number of computations to study the influence of the surfactants in 3D-axisymmetric rising bubbles have been performed. The proposed scheme shows excellent conservation of fluid mass and of the total mass of the surfactant. (C) 2012 Elsevier Inc. All rights reserved.
|Item Type:||Journal Article|
|Additional Information:||Copyright for this article belongs to Elsevier Science|
|Keywords:||Finite-elements;ALE approach;Interfacial fluid flows;Soluble surfactant;Navier-Stokes equations|
|Department/Centre:||Division of Information Sciences > Supercomputer Education & Research Centre|
|Date Deposited:||23 Aug 2012 07:30|
|Last Modified:||23 Aug 2012 07:30|
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