Meshless helmholtz-hodge decomposition

Vector fields analysis traditionally distinguishes conservative (curl-free) from mass preserving (divergence-free) components. The Helmholtz-Hodge decomposition allows separating any vector field into the sum of three uniquely defined components: curl free, divergence free and harmonic. This decompo...

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Veröffentlicht in:IEEE transactions on visualization and computer graphics. - 1996. - 16(2010), 2 vom: 15. März, Seite 338-49
1. Verfasser: Petronetto, Fabiano (VerfasserIn)
Weitere Verfasser: Paiva, Afonso, Lage, Marcos, Tavares, Geovan, Lopes, Hélio, Lewiner, Thomas
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2010
Zugriff auf das übergeordnete Werk:IEEE transactions on visualization and computer graphics
Schlagworte:Journal Article
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500 |a Date Completed 02.04.2010 
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500 |a CommentIn: IEEE Trans Vis Comput Graph. 2013 Mar;19(3):527-8. - PMID 22350202 
500 |a Citation Status MEDLINE 
520 |a Vector fields analysis traditionally distinguishes conservative (curl-free) from mass preserving (divergence-free) components. The Helmholtz-Hodge decomposition allows separating any vector field into the sum of three uniquely defined components: curl free, divergence free and harmonic. This decomposition is usually achieved by using mesh-based methods such as finite differences or finite elements. This work presents a new meshless approach to the Helmholtz-Hodge decomposition for the analysis of 2D discrete vector fields. It embeds into the SPH particle-based framework. The proposed method is efficient and can be applied to extract features from a 2D discrete vector field and to multiphase fluid flow simulation to ensure incompressibility 
650 4 |a Journal Article 
700 1 |a Paiva, Afonso  |e verfasserin  |4 aut 
700 1 |a Lage, Marcos  |e verfasserin  |4 aut 
700 1 |a Tavares, Geovan  |e verfasserin  |4 aut 
700 1 |a Lopes, Hélio  |e verfasserin  |4 aut 
700 1 |a Lewiner, Thomas  |e verfasserin  |4 aut 
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