Curvature Calculations for the Level-Set Method

K. Y. Lervåg () and Å. Ervik ()
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K. Y. Lervåg: Norwegian University of Science and Technology, Department of Energy and Process Engineering
Å. Ervik: SINTEF Energy Research

A chapter in Numerical Mathematics and Advanced Applications 2011, 2013, pp 209-217 from Springer

Abstract: Abstract The present work illustrates a difficulty with the level-set method to accurately capture the curvature of interfaces in regions that are of equal distance to two or more interfaces. Such regions are characterized by kinks in the level-set function where the derivative is discontinuous. Thus the standard discretization scheme is not suitable. Three discretization schemes are outlined that are shown to perform better than the standard discretization on two selected test cases.

Keywords: Quality Function; Capillary Number; Discretization Scheme; WENO Scheme; Hermite Spline (search for similar items in EconPapers)
Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-33134-3_23

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DOI: 10.1007/978-3-642-33134-3_23

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