Comments on the "Meshless Helmholtz-Hodge decomposition"

The Helmholtz-Hodge decomposition (HHD) is one of the fundamental theorems of fluids describing the decomposition of a flow field into its divergence-free, curl-free, and harmonic components. Solving for the HHD is intimately connected to the choice of boundary conditions which determine the uniquen...

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Veröffentlicht in:IEEE transactions on visualization and computer graphics. - 1996. - 19(2013), 3 vom: 06. März, Seite 527-8
1. Verfasser: Bhatia, Harsh (VerfasserIn)
Weitere Verfasser: Norgard, Gregory, Pascucci, Valerio, Bremer, Peer-Timo
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2013
Zugriff auf das übergeordnete Werk:IEEE transactions on visualization and computer graphics
Schlagworte:Journal Article Comment
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245 1 0 |a Comments on the "Meshless Helmholtz-Hodge decomposition" 
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500 |a CommentOn: IEEE Trans Vis Comput Graph. 2010 Mar-Apr;16(2):338-49. doi: 10.1109/TVCG.2009.61. - PMID 20075492 
500 |a Citation Status MEDLINE 
520 |a The Helmholtz-Hodge decomposition (HHD) is one of the fundamental theorems of fluids describing the decomposition of a flow field into its divergence-free, curl-free, and harmonic components. Solving for the HHD is intimately connected to the choice of boundary conditions which determine the uniqueness and orthogonality of the decomposition. This article points out that one of the boundary conditions used in a recent paper "Meshless Helmholtz-Hodge Decomposition" is, in general, invalid and provides an analytical example demonstrating the problem. We hope that this clarification on the theory will foster further research in this area and prevent undue problems in applying and extending the original approach 
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700 1 |a Norgard, Gregory  |e verfasserin  |4 aut 
700 1 |a Pascucci, Valerio  |e verfasserin  |4 aut 
700 1 |a Bremer, Peer-Timo  |e verfasserin  |4 aut 
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