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Cubic Gradient-Based Material Interfaces
Oct. 2013 (vol. 19 no. 10)
pp. 1687-1699
I. Prilepov, Comput. Sci. Dept., UC Davis, Davis, CA, USA
H. Obermaier, Comput. Sci. Dept., UC Davis, Davis, CA, USA
E. Deines, CD-adapco, Austin, TX, USA
C. Garth, Tech. Univ. Kaiserslautern, Kaiserslautern, Germany
K. I. Joy, Comput. Sci. Dept., UC Davis, Davis, CA, USA
Multifluid simulations often create volume fraction data, representing fluid volumes per region or cell of a fluid data set. Accurate and visually realistic extraction of fluid boundaries is a challenging and essential task for efficient analysis of multifluid data. In this work, we present a new material interface reconstruction method for such volume fraction data. Within each cell of the data set, our method utilizes a gradient field approximation based on trilinearly blended Coons-patches to generate a volume fraction function, representing the change in volume fractions over the cells. A continuously varying isovalue field is applied to this function to produce a smooth interface that preserves the given volume fractions well. Further, the method allows user-controlled balance between volume accuracy and physical plausibility of the interface. The method works on two- and three-dimensional Cartesian grids, and handles multiple materials. Calculations are performed locally and utilize only the one-ring of cells surrounding a given cell, allowing visualizations of the material interfaces to be easily generated on a GPU or in a large-scale distributed parallel environment. Our results demonstrate the robustness, accuracy, and flexibility of the developed algorithms.
Index Terms:
Materials,Approximation methods,Computational modeling,Visualization,Solid modeling,Accuracy,Approximation algorithms,computational geometry and object modeling,Visualization,boundary representations
Citation:
I. Prilepov, H. Obermaier, E. Deines, C. Garth, K. I. Joy, "Cubic Gradient-Based Material Interfaces," IEEE Transactions on Visualization and Computer Graphics, vol. 19, no. 10, pp. 1687-1699, Oct. 2013, doi:10.1109/TVCG.2013.16
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