Transport Coordinate (TC) Method for the Dynamics of Multiple Materials

[+] Author and Article Information
Wei Jia

Department of Mechanical Systems Engineering, Yamagata University, Yonezawa 9928510, Japane-mail: th107@dip.yz.yamagata-u.ac.jp

J. Fluids Eng 122(1), 125-133 (Dec 06, 1999) (9 pages) doi:10.1115/1.483234 History: Received August 24, 1998; Revised December 06, 1999
Copyright © 2000 by ASME
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Comparison of fluid interface and pressure contours of a moving droplet (a) without and (b) with restriction operation
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Contours of ρ (bold line), and ρ̄ of a circle object
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Conception of semi-Lagrangian method applied to solve advection equation
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Evolution of (a) contours of x0, (b) circle object, (c) needle object by TC method, and (d) needle object by VOF method. t=0, maximum deformation, and recovery instants from the left to the right.
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Fluid interface and pressure contours, and deformed base coordinates at t=5 from the left to the right. Re=200,σ=0,ρball=1,ρwall=0.5,ρair=0.1,ν=1/ρ. The results are calculated (a) without, and (b) with remeshing operation.
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Conceptions of VOF, LS, and transport coordinate methods
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Mass center velocity uMC of the ball against time
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Time series of deformations of fluid interface where there exists large density differences. Re=200,σ=0,ρball=1,ρwall=0.1,ρair=0.001,νballwall=1, and νair=10.
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Plots of (a) density, (b) smoothed density, (c) curvature, and (d) pressure along the midline of a rod. ρair=0.001,ρrod=1,σ=1. The computation is done on a 41×41 uniform grid.
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Kinetic energy of an oscillating droplet against time. ρair=0.001,ρdrop=1,νair=10,νdrop=1,σ=0.1, and Redrop=500.
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Velocity vectors and droplet shape of an oscillating droplet at typical time instants. ρair=0.001,ρdrop=1,νair=10,νdrop=1,σ=0.1, and Redrop=500.
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A 2D air bubble of diameter 5 mm rising in water
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Computation on dam breaking process in a 10 cm square box



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