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Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data
November/December 2009 (vol. 15 no. 6)
pp. 1243-1250
ASCII Text
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Benjamin Schindler, Raphael Fuchs, John Biddiscombe, Ronald Peikert, "Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data," IEEE Transactions on Visualization and Computer Graphics, vol. 15, no. 6, pp. 1243-1250, November/December, 2009.
 
 
BibTex
x
 
@article{ 10.1109/TVCG.2009.173,
author = {Benjamin Schindler and Raphael Fuchs and John Biddiscombe and Ronald Peikert},
title = {Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data},
journal ={IEEE Transactions on Visualization and Computer Graphics},
volume = {15},
number = {6},
issn = {1077-2626},
year = {2009},
pages = {1243-1250},
doi = {http://doi.ieeecomputersociety.org/10.1109/TVCG.2009.173},
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 - Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data
IS - 6
SN - 1077-2626
SP1243
EP1250
EPD - 1243-1250
A1 - Benjamin Schindler,
A1 - Raphael Fuchs,
A1 - John Biddiscombe,
A1 - Ronald Peikert,
PY - 2009
KW - Smoothed particle hydrodynamics
KW - flow visualization
KW - unsteady flow
KW - feature extraction
KW - vortex core lines
VL - 15
JA - IEEE Transactions on Visualization and Computer Graphics
ER -
 
Benjamin Schindler, ETH Zurich
Raphael Fuchs, ETH Zurich
John Biddiscombe, CSCS Manno
Ronald Peikert, ETH Zurich
In this paper we present a method for vortex core line extraction which operates directly on the smoothed particle hydrodynamics (SPH) representation and, by this, generates smoother and more (spatially and temporally) coherent results in an efficient way. The underlying predictor-corrector scheme is general enough to be applied to other line-type features and it is extendable to the extraction of surfaces such as isosurfaces or Lagrangian coherent structures. The proposed method exploits temporal coherence to speed up computation for subsequent time steps. We show how the predictor-corrector formulation can be specialized for severalvariants of vortex core line definitions including two recent unsteady extensions, and we contribute a theoretical and practical comparison of these. In particular, we reveal a close relation between unsteady extensions of Fuchs et al. and Weinkauf et al. and we give a proof of the Galilean invariance of the latter.When visualizing SPH data, there is the possibility to use the same interpolation method for visualization as has been used for the simulation. This is different from the case of finite volume simulation results, where it is not possible to recover from the results the spatial interpolation that was used during the simulation. Such data are typically interpolated using the basic trilinear interpolant, and if smoothness is required, some artificial processing is added. In SPH data, however, the smoothing kernels are specified from the simulation, and they provide an exact and smooth interpolation of data or gradients at arbitrary points in the domain.

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Index Terms:
Smoothed particle hydrodynamics, flow visualization, unsteady flow, feature extraction, vortex core lines
Citation:
Benjamin Schindler, Raphael Fuchs, John Biddiscombe, Ronald Peikert, "Predictor-Corrector Schemes for Visualization ofSmoothed Particle Hydrodynamics Data," IEEE Transactions on Visualization and Computer Graphics, vol. 15, no. 6, pp. 1243-1250, Nov.-Dec. 2009, doi:10.1109/TVCG.2009.173
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