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Stewart, P. A.; Lay, N.; Sussman, M.; Ohta, M.

An improved sharp interface method for viscoelastic and viscous two-phase flows. (English) Zbl 1203.76120

J. Sci. Comput. 35, No. 1, 43-61 (2008).
Summary: We introduce a robust method for computing viscous and viscoelastic two-phase bubble and drop motions. Our method utilizes a coupled level-set and volume-of-fluid technique for updating and representing the air-water interface. Our method introduces a novel approach for treating the viscous coupling terms at the air-water interface; these improvements result in improved stability for computing two-phase bubble formation solutions. We also present an improved, “positive-preserving” discretization technique for updating the configuration tensor for viscoelastic flows, in the context of computing two-phase bubble and drop motion.

Cited in 10 Documents

MSC:

76M25 Other numerical methods (fluid mechanics) (MSC2010)
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
76A10 Viscoelastic fluids
76T10 Liquid-gas two-phase flows, bubbly flows

Keywords:

level-set method; volume-of-fluid method; two-phase flow; bubbles; drops
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Full Text: DOI

References:

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