Free-Surface Flows
Basic
Algorithms
-
Volume-of-Fluid (VOF) methods (Hirt
& Nichols (1981), Youngs (1982))
-
Example 1: Breaking Waves (Ji, 2001)
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Example 2: Droplet (Ji, 2000)
-
Example 3: Rayleigh-Taylor instability
(Gromadzki, 2000)
-
VOF-Youngs method
-
density ratio: 1.2
-
Froude number: 0.5
-
Reynolds number: 500
-
sinusoidal perturbation of amplitude
0.02
-
movie
(QuickTime)
-
Example 4: Bubble (Gromadzki, 2000)
-
Example 5: Shearing flow (Gromadzki,
2000)
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Youngs-VOF method
-
velocity field: u(x,y)=cos(x) sin(y),
v(x,y)=-sin(x) cos(y)
-
movie
(QuickTime)

-
Marker-And-Cell (MAC) and Simplied
Marker-And-Cell (SMAC) methods (Welch
et al (1966), Amsden & Harlow (1971), Tome & McKee (1994))
-
Example 1: filling process into
a cubic container (Ji, 2000)
-
Example 2: Newtonian jet (Ji, 2000)
-
Example 3: non-Newtonian jet (Ji,
2000)
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