Stability of Dissipation Elements: A Case Study in Combustion

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dc.contributor.authorGyulassy, Attilaen_US
dc.contributor.authorBremer, Peer-Timoen_US
dc.contributor.authorGrout, Rayen_US
dc.contributor.authorKolla, Hemanthen_US
dc.contributor.authorChen, Jacquelineen_US
dc.contributor.authorPascucci, Valerioen_US
dc.contributor.editorH. Carr, P. Rheingans, and H. Schumannen_US
dc.date.accessioned2015-03-03T12:33:43Z
dc.date.available2015-03-03T12:33:43Z
dc.date.issued2014en_US
dc.description.abstractRecently, dissipation elements have been gaining popularity as a mechanism for measurement of fundamental properties of turbulent flow, such as turbulence length scales and zonal partitioning. Dissipation elements segment a domain according to the source and destination of streamlines in the gradient flow field of a scalar function f :M!R. They have traditionally been computed by numerically integrating streamlines from the center of each voxel in the positive and negative gradient directions, and grouping those voxels whose streamlines terminate at the same extremal pair. We show that the same structures map well to combinatorial topology concepts developed recently in the visualization community. Namely, dissipation elements correspond to sets of cells of the Morse- Smale complex. The topology-based formulation enables a more exploratory analysis of the nature of dissipation elements, in particular, in understanding their stability with respect to small scale variations. We present two examples from combustion science that raise significant questions about the role of small scale perturbation and indeed the definition of dissipation elements themselves.en_US
dc.description.seriesinformationComputer Graphics Forumen_US
dc.identifier.doi10.1111/cgf.12361en_US
dc.identifier.issn1467-8659en_US
dc.identifier.urihttps://doi.org/10.1111/cgf.12361en_US
dc.publisherThe Eurographics Association and John Wiley and Sons Ltd.en_US
dc.titleStability of Dissipation Elements: A Case Study in Combustionen_US
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EuroVis14: Eurographics Conference on Visualization