A new IRBFN scheme for the numerical simulation of interfacial flows

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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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: Yes
Item Status: Live Archive
Additional Information: No evidence of copyright restrictions preventing deposit.
Faculty / Department / School: Historic - Faculty of Engineering and Surveying - Department of Mechanical and Mechatronic Engineering
Date Deposited: 14 Apr 2013 23:47
Last Modified: 14 Oct 2014 23:55
Uncontrolled Keywords: IRBFN; meshless method; level set method; interfacial flow; front capturing
Fields of Research : 01 Mathematical Sciences > 0103 Numerical and Computational Mathematics > 010302 Numerical Solution of Differential and Integral Equations
09 Engineering > 0915 Interdisciplinary Engineering > 091508 Turbulent Flows
09 Engineering > 0913 Mechanical Engineering > 091307 Numerical Modelling and Mechanical Characterisation
Socio-Economic Objective: E Expanding Knowledge > 97 Expanding Knowledge > 970109 Expanding Knowledge in Engineering
E Expanding Knowledge > 97 Expanding Knowledge > 970101 Expanding Knowledge in the Mathematical Sciences
URI: http://eprints.usq.edu.au/id/eprint/23077

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