An Exact Numerical Method for Tracking Bubble Coalescence

In this article, a numerical method based on a combination of the level-set approach and the SIMPLE procedure in the finite-volume framework has been developed to simulate two-dimensional laminar incompressible two-phase flows. A level-set function is used for tracking the gas-liquid interface, and...

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Bibliographic Details
Published in:Heat transfer engineering 2010-01, Vol.31 (12), p.998-1006
Main Authors: Zhang, Yifu, Li, Weizhong, Quan, Shenglin
Format: Article
Language:English
Subjects:
Bubbles
Coalescence
Coalescing
Convection
Dimensional analysis
Exact sciences and technology
Fluid dynamics
Fundamental areas of phenomenology (including applications)
Mathematical analysis
Mathematical models
Multiphase and particle-laden flows
Nonhomogeneous flows
Numerical analysis
Physics
Studies
Tracking
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Summary:In this article, a numerical method based on a combination of the level-set approach and the SIMPLE procedure in the finite-volume framework has been developed to simulate two-dimensional laminar incompressible two-phase flows. A level-set function is used for tracking the gas-liquid interface, and a TVD scheme of second-order upwind coupled with flux limiter is proposed for solving the level-set equation to control the instability caused by nonlinear convection. A modification of Godunov's method of a third-order total variation diminishing (TVD)-Runge-Kutta explicit time-stepping procedure and a fifth-order essentially nonoscillatory (ENO) approximation are presented to re-initialize the level-set function to an exact signed distance function all the time. The governing equations are discretized on the collocated grids in a body-fitted coordinate, and the QUICK scheme with third-order accuracy is used for discretizing the convection terms. A dynamic behavior of a single rising bubble and two bubbles' coalescence in a vertical container is simulated by using this developed code.
ISSN:0145-7632
1521-0537
DOI:10.1080/01457631003639000