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.
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.|
|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
|Depositing User:||Prof Thanh Tran-Cong|
|Date Deposited:||11 Oct 2007 00:57|
|Last Modified:||02 Jul 2013 22:42|
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