Error Estimates for Lagrangian Flow Field Representations

Hummel, Mathias; Bujack, Roxana; Joy, Kenneth I.; Garth, Christoph

Error Estimates for Lagrangian Flow Field Representations

Files

007-011.pdf (4.25 MB)

short-0134-file1.mov (8.85 MB)

Date

2016

Authors

Hummel, Mathias
Bujack, Roxana
Joy, Kenneth I.
Garth, Christoph

Publisher

The Eurographics Association

Abstract

Computing power outpaces I/O bandwidth in modern high performance computers, which leads to temporal sparsity in flow simulation data. Experiments show that Lagrangian flow representations (where pathlines are retrieved from short-time flow maps using interpolation and concatenation) outperform their Eulerian counterparts in advection tasks under these circumstances. Inspired by these results, we present the theoretical estimate of the Lagrangian error for individual pathlines, depending on the choice of temporal as well as spatial resolution. In-situ, this measure can be used to steer the output resolution and post-hoc, it can be used to visualize the uncertainty of the pathlines. To validate our theoretical bounds, we evaluate the measured and the estimated error for several example flow fields.

        @inproceedings{10.2312:eurovisshort.20161153
,
booktitle = {EuroVis 2016 - Short Papers
},
editor = {Enrico Bertini and Niklas Elmqvist and Thomas Wischgoll
},
title = {{Error Estimates for Lagrangian Flow Field Representations
}},
author = {Hummel, Mathias and 
Bujack, Roxana and 
Joy, Kenneth I. and 
Garth, Christoph
},
year = {2016
},
publisher = {The Eurographics Association
},
ISSN = {-
},
ISBN = {978-3-03868-014-7
},
DOI = {10.2312/eurovisshort.20161153
}
}