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Accurate Adaptive Level Set Method and Sharpening Technique for Three Dimensional Deforming InterfacesIn this paper, we demonstrate improved accuracy of the level set method for resolving deforming interfaces by proposing two key elements: (1) accurate level set solutions on adapted Cartesian grids by judiciously choosing interpolation polynomials in regions of different grid levels and (2) enhanced reinitialization by an interface sharpening procedure. The level set equation is solved using a fifth order WENO scheme or a second order central differencing scheme depending on availability of uniform stencils at each grid point. Grid adaptation criteria are determined so that the Hamiltonian functions at nodes adjacent to interfaces are always calculated by the fifth order WENO scheme. This selective usage between the fifth order WENO and second order central differencing schemes is confirmed to give more accurate results compared to those in literature for standard test problems. In order to further improve accuracy especially near thin filaments, we suggest an artificial sharpening method, which is in a similar form with the conventional re-initialization method but utilizes sign of curvature instead of sign of the level set function. Consequently, volume loss due to numerical dissipation on thin filaments is remarkably reduced for the test problems
Document ID
20110008755
Acquisition Source
Glenn Research Center
Document Type
Reprint (Version printed in journal)
Authors
Kim, Hyoungin
(NASA Glenn Research Center Cleveland, OH, United States)
Liou, Meng-Sing
(NASA Glenn Research Center Cleveland, OH, United States)
Date Acquired
August 25, 2013
Publication Date
May 1, 2011
Publication Information
Publication: Computers and Fluids
Publisher: Elsevier Ltd
Volume: 44
Issue: 1
ISSN: 0045-7930
Subject Category
Mathematical And Computer Sciences (General)
Report/Patent Number
E-17724
Funding Number(s)
WBS: WBS 984754.02.07.03.12.04
Distribution Limits
Public
Copyright
Other

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