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Research Papers: Heat Transfer Enhancement

An Improved Volume of Fluid Method for Two-Phase Flow Computations on Collocated Grid System

[+] Author and Article Information
Dong-Liang Sun, Yong-Ping Yang

Beijing Key Laboratory of New and Renewable Energy, North China Electric Power University, Beijing 102206, P.R. China

Jin-Liang Xu1

Beijing Key Laboratory of New and Renewable Energy, North China Electric Power University, Beijing 102206, P.R. Chinaxjl@ncepu.edu.cn

Wen-Quan Tao

School of Power and Energy Engineering, Xi’an Jiaotong University, Xi’an, Shaanxi 710049, P.R. China

1

Corresponding author.

J. Heat Transfer 133(4), 041901 (Jan 11, 2011) (8 pages) doi:10.1115/1.4002981 History: Received December 08, 2009; Revised October 11, 2010; Published January 11, 2011; Online January 11, 2011

An improved volume of fluid method called the accurate density and viscosity volume of fluid (ADV-VOF) method is proposed to solve two-phase flow problems. The method has the following features: (1) All operations are performed on a collocated grid system. (2) The piecewise linear interface calculation is used to capture interfaces and perform accurate estimations of cell-edged density and viscosity. (3) The conservative Navier–Stokes equations are solved with the convective term discretized by a second and third order interpolation for convection scheme. (4) A fractional-step method is applied to solve the conservative Navier–Stokes equations, and the BiCGSTAB algorithm is used to solve the algebraic equations by discretizing the pressure-correction equation. The above features guarantee a simple, stable, efficient, and accurate simulation of two-phase flow problems. The effectiveness of the ADV-VOF method is verified by comparing it with the conventional volume of fluid method with rough treatment of cell-edged density and viscosity. It is found that the ADV-VOF method could successfully model the two-phase problems with large density ratio and viscosity ratio between two phases and is better than the conventional volume of fluid method in this respect.

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Copyright © 2011 by American Society of Mechanical Engineers
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Figures

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Figure 1

Distribution of dispersed phase, continuous phase, and their interface

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Figure 2

The collocated grid system and the relative variables

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Figure 3

Physical model of dam break problem

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Figure 4

History of fluid front marching along the ground surface

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Figure 5

Droplet shapes at t=0.1 s at the ratio 1000:1

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Figure 6

Droplet falling velocity with time

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Figure 7

Droplet falling velocity field at the ratio 100:1 computed by the ADV-VOF and IDV-VOF methods

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Figure 8

Rising velocity of the single gas bubble with time for case 3 at the ratio 1000:1

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Figure 9

Bubble terminal shapes computed by the ADV-VOF method

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Figure 10

Air bubble shapes at t=0.05 s on the computational grids 160×240 and 320×480

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