Arbitrary Lagrangian-Eulerian finite-element method for computation of two-phase flows with soluble surfactants

作者：Ganesan Sashikumaar^*; Tobiska Lutz

来源：Journal of Computational Physics, 2012, 231(9): 3685-3702.

DOI：10.1016/j.jcp.2012.01.018

• Finite-elements
• ALE approach
• Interfacial fluid flows
• Soluble surfactant
• Navier-Stokes equations

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.

• 出版日期2012-5-1