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

J M López-Herrera (1) , Stéphane Popinet (2) , A A Castrejón-Pita (3)

1 Universidad de Sevilla = University of Seville
2 IJLRDA-FCIH - Fluides Complexes et Instabilités Hydrodynamiques
3 University of Oxford

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 & Kupferman [1, 2] combined with the time-split scheme proposed by Hao & Pan [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 [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 [4] web site [5].

Domaines: Mécanique des fluides [physics.class-ph]; Analyse numérique [math.NA]

J M López-Herrera, Stéphane Popinet, A A Castrejón-Pita. An adaptive solver for viscoelastic incompressible two-phase problems applied to the study of the splashing of weakly viscoelastic droplets. Journal of Non-Newtonian Fluid Mechanics, 2019, 264, pp.144-158. ⟨10.1016/j.jnnfm.2018.10.012⟩. ⟨hal-01912184⟩