Mai-Cao, L. and Tran-Cong, T. (2006) A meshless level-set scheme for interfacial flows. In: 2006 International Conference on Nonlinear Analysis & Engineering Mechanics Today, 11-14 Dec 2006, Ho Chi Minh City, Vietnam.
|HTML Citation||EndNote||MODS||Dublin Core||Reference Manager|
Full text available as:
|PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
Official URL: http://www.lms.polytechnique.fr/CONGRES/AN-EMT2006.html
This paper reports a novel meshless scheme for the numerical simulation of bubbles moving in an incompressible viscous fluid. In this paper, the motion of the bubble is modelled on the basis of the level set formulation for capturing the moving interface between the bubbles and the surrounding fluid, and the Navier-Stokes equations (with surface tension taken into account) for the ambient incompressible viscous flow. The new numerical scheme is then devised in which the Integrated Radial Basis Function Network (IRBFN) method is used for spatial discretization of the governing equations and high-order time stepping methods are used for temporal discretization. As a result, the moving interface is captured at all time as the zero contour of a smooth function (known as the level set function) without any explicit computation of the actual front location. A numerical simulation of two bubbles moving, stretching and merging in an incompressible viscous fluid is performed to demonstrate the working of the present scheme.
|Item Type:||Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)|
|Uncontrolled Keywords:||Intehrated radial basis function network, bubble flow, meshless level set method, meshless method for Navier-Stokes equations.|
|Fields of Research (FOR2008):||09 Engineering > 0913 Mechanical Engineering > 091399 Mechanical Engineering not elsewhere classified|
09 Engineering > 0915 Interdisciplinary Engineering > 091504 Fluidisation and Fluid Mechanics
|Subjects:||290000 Engineering and Technology > 291800 Interdisciplinary Engineering > 291801 Fluidization and Fluid Mechanics|
290000 Engineering and Technology > 290500 Mechanical and Industrial Engineering > 290501 Mechanical Engineering
|Socio-Economic Objective (SEO2008):||UNSPECIFIED|
|Deposited On:||11 Oct 2007 10:57|
|Last Modified:||02 Nov 2012 13:03|
Archive Staff Only: edit this record