An adaptive solver for viscoelastic incompressible two-phase problems applied to the study of the splashing of weakly viscoelastic droplets

Journal article

We propose an adaptive numerical solver for the study of viscoelastic 2D two-phase flows using the volume-of-fluid method. The scheme uses the robust log conformation tensor technique of Fattal and Kupferman (2004, 2005) [1,2] combined with the time-split scheme proposed by Hao and Pan (2007) [3]. The use of such a time-split scheme has been proven to increase the stability of the numerical computation of two-phase flows. We show that the adaptive computational technique can be used to simulate viscoelastic flows efficiently. The solver is coded using the open-source libraries provided by the Basilisk (Popinet, 2018 [4]) platform. In particular, the method is implemented for Oldroyd-B type viscoelastic fluids and related models (FENE-P and FENE-CR). The numerical scheme is then used to study the splashing of weakly viscoelastic drops. The solvers and tests of this work are freely available on the Basilisk (Popinet, 2018 [4]) web site (Lopez-Herrera, 2018 [5]).

Authors: Lopez-Herrera, J; Popinet, S; Castrejon Pita, A

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Elsevier
• Journal: Journal of Non-Newtonian Fluid Mechanics
• Volume: 264
• Pages: 144-158
• Publication date: 2018-11-01
• Acceptance date: 2018-10-30
• DOI: 10.1016/j.jnnfm.2018.10.012
• EISSN: 1873-2631
• ISSN: 0377-0257