Fully implicit interface tracking for a viscous drop under simple shear. (30th April 2019)

• Record Type: Journal Article
• Authors: Mitrias, Christos; Hulsen, Martien A.; Anderson, Patrick D.
• Is Part Of: Computers & fluids. Volume 184(2019)
• Page Start: 91
• Page End: 98
• Publication Date: 2019-04-30
• Subjects: Finite element method -- Sharp interface -- Surface tension -- Fully implicit; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2019.03.016
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: A novel 3D implicit interface tracking method for sharp interfaces. Remeshing avoided by moving nodes in normal direction of the drop interface. Good agreement with literature for the deformation and inclination of a drop in shear. Abstract: In this article we present a novel 3D implicit interface tracking method for sharp interfaces with interfacial tension in the creeping flow regime, employing the finite element method. The interface nodes are allowed to move only in the normal direction and thus remeshing can be avoided, most of the times. The implicit method allows us to overcome certain time step limitations imposed by the mesh capillary time. To validate our method, we use a fairly simple and very well understood problem of a single viscous drop suspended in a viscous matrix that deforms under an applied shear rate. This problem was first studied by Taylor [1] and has been extensively reviewed by Rallison [2] and Stone [3]. The second moment of inertia tensor was used to compute the deformation parameter D and the inclination angle θ and the results are compared to the theory for small deformations of Taylor [1].