A volume-of-fluid method for incompressible free surface flows

2009 ◽  
Vol 61 (12) ◽  
pp. 1331-1362 ◽  
Author(s):  
I. R. Park ◽  
K. S. Kim ◽  
J. Kim ◽  
S. H. Van
Keyword(s):  
Free Surface ◽  
Volume Of Fluid ◽  
Free Surface Flows ◽  
Volume Of Fluid Method ◽  
Surface Flows

An Improved Anti-Diffusive VOF Method to Predict Two-Fluid Free Surface Flows

2011 ◽  
Author(s):  
Y. G. Chen ◽  
W. G. Price ◽  
P. Temarel
Keyword(s):  
Free Surface ◽  
Diffusion Processes ◽  
Volume Fraction ◽  
Volume Of Fluid ◽  
Free Surface Flows ◽  
Vof Method ◽  
Advection Equation ◽  
Diffusion Term ◽  
Surface Flows ◽  
Two Fluid

This investigation continues the development of an anti-diffusive volume of fluid method [1] by improving accuracy through the addition of an artificial diffusion term, with a negative diffusion coefficient, to the original advection equation describing the evolution of the fluid volume fraction. The advection and diffusion processes are split into a set of two partial differential equations (PDEs). The improved anti-diffusive Volume of Fluid (VOF) method is coupled with a two-fluid flow solver to predict free surface flows and illustrated by examples given in two-dimensional flows. The first numerical example is a solitary wave travelling in a tank. The second example is a plunging wave generated by flow over a submerged obstacle of prescribed shape on a horizontal floor. The computational results are validated against available experimental data.

Volume of fluid methods for immiscible-fluid and free-surface flows

2008 ◽  
Vol 141 (1-3) ◽  
pp. 204-221 ◽  
Author(s):  
Vinay R. Gopala ◽  
Berend G.M. van Wachem
Keyword(s):  
Free Surface ◽  
Volume Of Fluid ◽  
Free Surface Flows ◽  
Immiscible Fluid ◽  
Surface Flows

scholarly journals A Novel Algorithm of Advection Procedure in Volume of Fluid Method to Model Free Surface Flows

2012 ◽  
Vol 2012 ◽  
pp. 1-16 ◽  
Author(s):  
M. J. Ketabdari ◽  
H. Saghi
Keyword(s):  
Free Surface ◽  
Volume Of Fluid ◽  
Free Surface Flows ◽  
Navier Stokes ◽  
Adjacent Cell ◽  
Volume Of Fluid Method ◽  
Governing Equations ◽  
Model Free ◽  
Coarse Grids ◽  
Fluid Cell

In this study, the developed procedure of advection in volume of fluid (VOF) method is presented for free surface modeling. The fluid is assumed to be incompressible and viscous and therefore, Navier-Stokes and continuity are considered as governing equations. Applying Youngs’ algorithm in staggered grids, it is assumed that fluid particles in the cell have the same velocity of the cell faces. Therefore, fluxes to neighboring cells are estimated based on cell face velocities. However, these particles can show different velocities between two adjacent cell faces. In developed model, the velocity in mass center of fluid cell is evaluated to calculate fluxes from cell faces. The performance of the model is evaluated using some alternative schemes such as translation, rotation, shear test, and dam break test. These tests showed that the developed procedure improves the results when using coarse grids. Therefore, the Modified Youngs-VOF (MYV) method is suggested as a new VOF algorithm which models the free surface problems more accurately.

scholarly journals Viscous free-surface flows past cylinders

2020 ◽  
Vol 5 (8) ◽  
Author(s):  
Edward M. Hinton ◽  
Andrew J. Hogg ◽  
Herbert E. Huppert
Keyword(s):  
Free Surface ◽  
Free Surface Flows ◽  
Surface Flows
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