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Journal of Computational Physics
Volume 169, Issue 2, 20 May 2001, Pages 708-759
 
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doi:10.1006/jcph.2001.6726    How to Cite or Link Using DOI (Opens New Window)
Copyright © 2001 Academic Press. All rights reserved.

Regular Article

A Front-Tracking Method for the Computations of Multiphase Flow

G. Tryggvasona, 1, B. Bunnerb, A. Esmaeelic, D. Juricd, N. Al-Rawahic, W. Tauberc, J. Hanc, S. Nase and Y. -J. Janc

a Mechanical Engineering Department, Worcester Polytechnic Institute, 100 Institute Road, Worcester, Massachusetts, 01609-2280 b Coventor, Inc. Cambridge, Massachusetts, 02142 c Department of Mechanical Engineering, University of Michigan, Ann Arbor, Michigan, 48109 d The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, 30332, Georgia e Department of Aeronautics and Astronautics, Istanbul Technical University, Maslak, Istanbul, 80626, Turkey

Received 8 July 2000; 
revised 5 January 2001. 
Available online 12 March 2002.

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Abstract

Direct numerical simulations of multiphase flows, using a front-tracking method, are presented. The method is based on writing one set of governing equations for the whole computational domain and treating the different phases as one fluid with variable material properties. Interfacial terms are accounted for by adding the appropriate sources as δ functions at the boundary separating the phases. The unsteady Navier–Stokes equations are solved by a conventional finite volume method on a fixed, structured grid and the interface, or front, is tracked explicitly by connected marker points. Interfacial source terms such as surface tension are computed on the front and transferred to the fixed grid. Advection of fluid properties such as density is done by following the motion of the front. The method has been implemented for fully three-dimensional flows, as well as for two-dimensional and axisymmetric ones. First, the method is described for the flow of two or more isothermal phases. The representation of the moving interface and its dynamic restructuring, as well as the transfer of information between the moving front and the fixed grid, are discussed. Applications and extensions of the method to homogeneous bubbly flows, atomization, flows with variable surface tension, solidification, and boiling are then presented.


 
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