Mai-Cao, L. and Tran-Cong, T. (2012) A new IRBFN scheme for the numerical simulation of interfacial flows. In: 4th International Conference on Computational Methods (ICCM 2012), 25-28 Nov 2012, Gold Coast, Australia.
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Abstract
This paper reports a new meshless scheme for the numerical simulation of interfacial flows in which the motion and deformation of the interface between two immiscible fluids are fully investigated. Unlike the passive transport problems studied in (L. Mai-Cao and T. Tran-Cong, 2008) where the influence of the moving interface on the surrounding fluid is ignored, the interfacial flows are studied in this paper with the surface tension taken into account. As a result, not only the position and shape of the moving interface but also the ambient flow variables (velocity field and pressure) change when the interface moves. In other words, a two-way interaction between the moving interface and the ambient flow is fully investigated. In this paper, the moving interface is captured by the level set method and the Navier-Stokes equations (with the surface tension embedded into the momentum equation) are used to model the ambient incompressible viscous flow in the meshless framework of the IRBFN method. A numerical simulation of two bubbles moving, stretching and merging in an incompressible viscous fluid is performed for verification purpose.
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