Sharp numerical simulation of incompressible two-phase flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:391

Article

Theillard, Maxime¹  Gibou, Frederic^2,3  Saintillan, David⁴ 

[1] Univ Calif Merced, Sch Nat Sci, Appl Math Unit, Merced, CA 95340 USA

[2] Univ Calif Santa Barbara, Dept Mech Engn, Santa Barbara, CA 93106 USA

[3] Univ Calif Santa Barbara, Dept Comp Sci, Santa Barbara, CA 93106 USA

[4] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

关键词: Two-phase flows;    Incompressible Navier-Stokes;    Projection method;    Sharp jump conditions;    Level-set;    MAC grid;   

DOI  :  10.1016/j.jcp.2019.04.024

来源: Elsevier

【 摘 要 】

We present a numerical method for simulating incompressible immiscible fluids, in two and three spatial dimensions. It is constructed as a modified pressure correction projection method on adaptive non-graded Oc/Quadtree Cartesian grids, using the level-set framework to capture the moving interface between the two fluids. The sharp treatment of the interface position, of the fluid parameter discontinuities, and of the interfacial jump conditions ensures convergence in the L8-norm. Using a novel construction for the pressure guess, we are able to alleviate the standard time step restriction incurred by capillary forces. The solver is validated numerically and employed to simulate the dynamics of physically relevant problems such as rising bubbles and viscous droplets in electric fields. (C) 2019 Published by Elsevier Inc.

【 授权许可】

Free