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International Journal for Uncertainty Quantification

Impact factor: 1.000

ISSN Print: 2152-5080
ISSN Online: 2152-5099

Open Access

International Journal for Uncertainty Quantification

DOI: 10.1615/Int.J.UncertaintyQuantification.2012003960
pages 255-270

UNCERTAINTY IN THE DEVELOPMENT AND USE OF EQUATION OF STATE MODELS

V. Gregory Weirs
Sandia National Laboratories, P. O. Box 5800, Albuquerque, New Mexico 87185, USA
Nathan Fabian
Sandia National Laboratories, P. O. Box 5800, Albuquerque, New Mexico 87185, USA
Kristin Potter
Scientific Computing and Imaging Institute, University of Utah, Salt Lake City, Utah, 84112, USA
Laura McNamara
Sandia National Laboratories, P. O. Box 5800, Albuquerque, New Mexico 87185, USA
Thomas Otahal
Sandia National Laboratories, P. O. Box 5800, Albuquerque, New Mexico 87185, USA

ABSTRACT

In this paper we present the results from a series of focus groups on the visualization of uncertainty in equation-of-state (EOS) models. The initial goal was to identify the most effective ways to present EOS uncertainty to analysts, code developers, and material modelers. Four prototype visualizations were developed to present EOS surfaces in a three-dimensional, thermodynamic space. Focus group participants, primarily from Sandia National Laboratories, evaluated particular features of the various techniques for different use cases and discussed their individual workflow processes, experiences with other visualization tools, and the impact of uncertainty on their work. Related to our prototypes, we found the 3D presentations to be helpful for seeing a large amount of information at once and for a big-picture view; however, participants also desired relatively simple, two-dimensional graphics for better quantitative understanding and because these plots are part of the existing visual language for material models. In addition to feedback on the prototypes, several themes and issues emerged that are as compelling as the original goal and will eventually serve as a starting point for further development of visualization and analysis tools. In particular, a distributed workflow centered around material models was identified. Material model stakeholders contribute and extract information at different points in this workflow depending on their role, but encounter various institutional and technical barriers which restrict the flow of information. An effective software tool for this community must be cognizant of this workflow and alleviate the bottlenecks and barriers within it. Uncertainty in EOS models is defined and interpreted differently at the various stages of the workflow. In this context, uncertainty propagation is difficult to reduce to the mathematical problem of estimating the uncertainty of an output from uncertain inputs.