This Article 
   
 Share 
   
 Bibliographic References 
   
 Add to: 
 
Digg
Furl
Spurl
Blink
Simpy
Google
Del.icio.us
Y!MyWeb
 
 Search 
   
Comments on the "Meshless Helmholtz-Hodge Decomposition"
March 2013 (vol. 19 no. 3)
pp. 527-528
ASCII Text
x 
 
H. Bhatia, G. Norgard, V. Pascucci, P. Bremer, "Comments on the "Meshless Helmholtz-Hodge Decomposition"," IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 3, pp. 527-528, March, 2013.
 
 
BibTex
x
 
@article{ 10.1109/TVCG.2012.62,
author = {H. Bhatia and G. Norgard and V. Pascucci and P. Bremer},
title = {Comments on the "Meshless Helmholtz-Hodge Decomposition"},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {19},
number = {3},
issn = {1077-2626},
year = {2013},
pages = {527-528},
doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2012.62},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Visualization and Computer Graphics
TI - Comments on the "Meshless Helmholtz-Hodge Decomposition"
IS - 3
SN - 1077-2626
SP527
EP528
EPD - 527-528
A1 - H. Bhatia,
A1 - G. Norgard,
A1 - V. Pascucci,
A1 - P. Bremer,
PY - 2013
KW - Helmholtz equations
KW - decomposition
KW - boundary conditions
KW - meshless Helmholtz-Hodge decomposition
KW - HHD
KW - flow field
KW - divergence-free
KW - curl-free
KW - harmonic components
KW - Boundary conditions
KW - Vectors
KW - Harmonic analysis
KW - Visualization
KW - Computational modeling
KW - Fluids
KW - Educational institutions
KW - Helmholtz-Hodge decomposition.
KW - Vector fields
KW - boundary conditions
VL - 19
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 
H. Bhatia, Sci. Comput. & Imaging Inst., Univ. of Utah, Salt Lake City, UT, USA
G. Norgard, Numerica, Fort Collins, CO, USA
V. Pascucci, Sci. Comput. & Imaging Inst., Univ. of Utah, Salt Lake City, UT, USA
P. Bremer, Center of Appl. Sci. Comput., Lawrence Livermore Nat. Lab., Livermore, CA, USA
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” [5] 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.
Index Terms:
Helmholtz equations,decomposition,boundary conditions,meshless Helmholtz-Hodge decomposition,HHD,flow field,divergence-free,curl-free,harmonic components,Boundary conditions,Vectors,Harmonic analysis,Visualization,Computational modeling,Fluids,Educational institutions,Helmholtz-Hodge decomposition.,Vector fields,boundary conditions
Citation:
H. Bhatia, G. Norgard, V. Pascucci, P. Bremer, "Comments on the "Meshless Helmholtz-Hodge Decomposition"," IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 3, pp. 527-528, March 2013, doi:10.1109/TVCG.2012.62
Usage of this product signifies your acceptance of the Terms of Use.