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Numerical simulation of interfacial flows

In: Numerical Mathematics and Advanced Applications

Author

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  • A. Smolianski

    (Zurich University, Institute of Mathematics)

Abstract

Summary The present work is devoted to the study of unsteady flows of two immiscible viscous fluids separated by a free moving interface. A unified strategy for the numerical modelling of two-fluid interfacial flows is elaborated, including flows with possible changes of interface topology (like mergers or breakups). The computational approach presented essentially relies on three basic components: the finite element method for spatial approximation, operator-splitting for temporal discretization and the level-set method for interface representation. This enables us to cover a wide range of interfacial flow regimes with high accuracy. The numerical simulations of bubble dynamics phenomena are presented to validate the proposed computational method.

Suggested Citation

  • A. Smolianski, 2003. "Numerical simulation of interfacial flows," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 173-178, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_16
    DOI: 10.1007/978-88-470-2089-4_16
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