Reduction of parasitic currents in level-set calculations with a consistent discretization of the surface-tension force for the CSF model

Meland, R., Gran, I. R., Olsen, R. and Munkejord, S. T. (2007). Reduction of parasitic currents in level-set calculations with a consistent discretization of the surface-tension force for the CSF model. In: Peter Jacobs, Tim McIntyre, Matthew Cleary, David Buttsworth, David Mee, Rose Clements, Richard Morgan and Charles Lemckert, 16th Australasian Fluid Mechanics Conference (AFMC). 16th Australasian Fluid Mechanics Conference (AFMC), Gold Coast, Queensland, Australia, (862-865). 3-7 December, 2007.

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Author Meland, R.
Gran, I. R.
Olsen, R.
Munkejord, S. T.
Title of paper Reduction of parasitic currents in level-set calculations with a consistent discretization of the surface-tension force for the CSF model
Conference name 16th Australasian Fluid Mechanics Conference (AFMC)
Conference location Gold Coast, Queensland, Australia
Conference dates 3-7 December, 2007
Proceedings title 16th Australasian Fluid Mechanics Conference (AFMC)
Place of Publication Brisbane, Australia
Publisher School of Engineering, The University of Queensland
Publication Year 2007
Year available 2007
Sub-type Fully published paper
ISBN 978-1-864998-94-8
Editor Peter Jacobs
Tim McIntyre
Matthew Cleary
David Buttsworth
David Mee
Rose Clements
Richard Morgan
Charles Lemckert
Start page 862
End page 865
Total pages 4
Collection year 2007
Language eng
Abstract/Summary Parasitic currents may develop in grid-based interface simulations because of inaccurate representation of the surface forces in the discretized equations. This is due to two causes : firstly, inconsistent discretization of the surface tension force and the pressure gradient, such that the force balance is not fulfilled for a drop or a bubble at rest. Secondly, the problem is inaccurate approximation of the curvature. The least you should demand from a discretization is that it preserves a stationary solution. In this article, it is shown that this can be accomplished by rewriting the interfacial force term in the momentum equation. Using exact curvature, the exact solution for a drop is preserved to machine accuracy. In general, with this discretization, the calculation of the curvature is the only remaining source of spurious currents. Contrary to common practice for the level-set method, we stress that the curvature should be evaluated at the point on the interface whose normal cross the discretization point, and not at the gridpoint in the smeared-out region outside the interface. In 2D, a simple geometrical argument may be used to find the curvature at the interface, whereas in 3D we use extrapolation normal to the interface to create the correct curvature field in a small region around the interface.
Subjects 290000 Engineering and Technology
Keyword Parasitic currents
grid-based interface simulations
discretized equations
surface tension force
geometrical argument
Q-Index Code E1
Q-Index Status Provisional Code
Institutional Status Unknown

 
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Created: Wed, 19 Dec 2007, 15:50:57 EST by Bikash Das on behalf of School of Engineering