Numerical study of flows of two immiscible liquids at low Reynolds number. (English) Zbl 0981.76062

Li, Jie; Renardy, Yuriko

SIAM Rev. 42, No. 3, 417-439 (2000).

Summary: We review our recent results on fingering, bamboo waves, and drop breakup in low Reynolds number flows composed of two viscous liquids under shear.

MSC:

76M20	Finite difference methods applied to problems in fluid mechanics
76E17	Interfacial stability and instability in hydrodynamic stability
76D05	Navier-Stokes equations for incompressible viscous fluids
76D50	Stratification effects in viscous fluids
76-02	Research exposition (monographs, survey articles) pertaining to fluid mechanics

Keywords:

volume-of-fluid scheme; interface tracking; semi-implicit Stokes solver; two-layer viscous flows; low Reynolds number flows; fingering; bamboo waves; drop breakup; projection method; MAC method

Software:

KRAKEN