Coupling Simulation and Mesh Generation using
Computational Topology



Many simulation algorithms depend on an underlying spatial discretization---a mesh that decomposes the domain into a finite set of elements that can be analyzed by a computer. The quality of the simulation is, in part, determined by the quality of the mesh. However, in the past, mesh generation and simulation were done as separate processes. Better results can be achieved by tightly integrating simulation with mesh generation and recent advices in computational topology provide the key to doing so. Computational topology allows for the analysis of the structure of data---in this case simulation variables. By understanding the structure of the simulation the mesh generation algorithms can adapt to it, providing meshes that are closely linked to the actual simulation.

Because simulation is a powerful tool for discovery throughout computational science, this research has the potential to have broad impact across all fields of science and enable new scientific breakthroughs that could have tremendous societal impact. This research will also produce open-source software, short courses, and workshops around the topic of coupling simulation and meshing. The interdisciplinary nature of this project will lead to a rich educational and research environment for graduate and undergraduate students.

Team Members

Principal Investigators

Adam Bargteil, University of Maryland - Baltimore County
Joshua A. Levine, Clemson University
Valerio Pascucci, University of Utah
Tamar Shinar, University of California - Riverside

Senior Personnel

Peer-Timo Bremer, University of Utah
Attila Gyulassy, University of Utah

Graduate Students

Muzaffer Akbay, University of California - Riverside
Laura Lediaev, University of Utah

Undergraduate Students

April Martin, University of Utah

Former Students

John Edwards, Post-doc, University of Utah
Harsh Bhatia, PhD, University of Utah
Haimasree Bhattacharya, PhD, University of Utah
Dan Gerszewski, PhD, University of Utah
Ben Jones, PhD, University of Utah
Wojciech Karas, MS, University of California - Riverside
Alex Stuart, MS, University of Utah

Publications


Books and Chapters

J. Bennett, F. Vivodtzev, V. Pascucci
Topological and Statistical Methods for Complex Data: Tackling Large-Scale, High-Dimensional, and Multivariate Data Spaces
Springer Berlin Heidelberg, 2015.

H. Bhatia, A. Gyulassy, H. Wang, P.-T. Bremer, V. Pascucci
Robust Detection of Singularities in Vector Fields
Topological Methods in Data Analysis and Visualization III, Springer, 2014.

J. A. Levine, D. Thompson, J. C. Bennett, P.-T. Bremer, A. Gyulassy, V. Pascucci, P. Pebay
Analysis of Uncertain Scalar Data with Hixels
Scientific Visualization: Uncertainty, Multifield, Biomedical, and Scalable Visualization, Springer, 2014.

Journal Articles

B. Jones, N. Thuerey, T. Shinar, and A. W. Bargteil
Example-based Plastic Deformation of Rigid Bodies.
ACM Transactions on Graphics, July 2016, Vol. 35, No 4.

A. Gyulassy, A. Knoll, K. C. Lau, B. Wang, P.-T. Bremer, M. E. Papka, L. A. Curtiss, V. Pascucci
Interstitial and Interlayer Ion Diffusion Geometry Extraction in Graphitic Nanosphere Battery Materials
IEEE Transactions on Visualization and Computer Graphics, 2016, Vol. 22, No. 1.

P.-T. Bremer, D. Maljovec, A. Saha, B. Wang, J. Gaffney, B. K. Spears, V. Pascucci
ND2AV: N-dimensional data analysis and visualization analysis for the National Ignition Campaign
Computat. and Visualiz. in Science, 2015, Vol. 17, No. 1.

S. Liu, B. Wang, J. J. Thiagarajan, P.-T. Bremer, V. Pascucci
Visual Exploration of High-Dimensional Data through Subspace Analysis and Dynamic Projections
Comput. Graph. Forum, 2015, Vol. 34, No. 3.

B. Summa, A. A. Gooch, G. Scorzelli, V. Pascucci
Paint and Click: Unified Interactions for Image Boundaries
Comput. Graph. Forum, 2015, Vol. 34, No. 2.

J. Edwards, E. Daniel, V. Pascucci, C. L. Bajaj
Approximating the Generalized Voronoi Diagram of Closely Spaced Objects
Comput. Graph. Forum, 2015, Vol. 34, No. 2.

B. Jones, J. Popovic, J. McCann, W. Li, A. W. Bargteil
Dynamic Sprites: Artistic Authoring of Interactive Animations
Computer Animation and Virtual Worlds, March/April 2015, Vol. 26, No. 2.

D. Gerszewski, L. Kavan, P.-P. Sloan, A. W. Bargteil
Basis Enrichment and Solid-fluid Coupling for Model-reduced Fluid Simulation
Computer Animation and Virtual Worlds, March/April 2015, Vol. 26, No. 2.

H. Bhattacharya, Y. Gao, A. W. Bargteil
A Level-set Method for Skinning Animated Particle Data.
IEEE Transactions on Visualization and Computer Graphics, March 2015, Vol. 21, No. 3.

H. Bhatia, Bei Wang, G. Norgard, V. Pascucci, P. T. Bremer.
Local, Smooth, and Consistent Jacobi Set Simplification
Computational Geometry: Theory and Applications , 2015, Vol. 48, No. 4.

Attila Gyulassy, David Guenther, Joshua A. Levine, Julien Tierny, and Valerio Pascucci
Conforming Morse-Smale complexes.
IEEE Transactions on Visualization and Computer Graphics, December 2014, Vol. 20, No. 12.

H. Bhatia, V. Pascucci, P.-T.Bremer
The Natural Helmholtz-Hodge Decomposition for Open-Boundary Flow Analysis.
IEEE Transactions on Visualization and Computer Graphics, Novemeber 2014, Vol. 20, No. 11.

J. R. Bronson, S. P. Sastry, J. A. Levine, R. T. Whitaker.
Adaptive and Unstructured Mesh Cleaving.
Procedia Engineering (Proc. 23rd International Meshing Roundtable), Oct 2014, Vol. 82, No 0.

H. Bhatia, V. Pascucci, R. M. Kirby, P.-T. Bremer
Extracting Features from Time-Dependent Vector Fields Using Internal Reference Frames.
Computer Graphics Forum, 2014, Vol. 33, No. 3.

A. Gyulassy, P.T. Bremer, R. Grout, H. Kolla, J. Chen, V. Pascucci
Stability of Dissipation Elements: A Case Study in Combustion.
Computer Graphics Forum, 2014, Vol. 33, No. 3.

A. W. Bargteil, Elaine Cohen
Animation of Deformable Bodies with Quadratic Bézier Finite Elements.
ACM Transactions on Graphics, May 2014, Vol. 33, No 3.

B. Jones, S. Ward, A. Jallepalli, J. Perenia, A. W. Bargteil
Deformation Embedding for Point-based Elastoplastic Simulation
ACM Transactions on Graphics, March 2014, Vol. 33, No 2.

D. Maljovec, B. Wang, A. Kupresanin, G. Johannesson, V. Pascucci, P.-T. Bremer
Adaptive Sampling with Topological Scores.
International Journal for Uncertainty Quantification, 2013, Vol. 3, No 2.

Conference & Workshop Papers

H. Bhatia, A. Gyulassy, V. Pascucci, M. Bremer, M. T. Ong, V. Lordi, E. W. Draeger, J. E. Pask, P.-T. Bremer
Interactive exploration of atomic trajectories through relative-angle distribution and associated uncertainties
Proceedings of IEEE Pacific Visualization Symposium, Taipei, Taiwan, Apr 2016.

B. Jones, A. Martin, J. A. Levine, T. Shinar, and A. W. Bargteil
Ductile Fracture for Clustered Shape Matching
Proceedings of ACM SIGGRAPH Symposium on Interactive 3D Graphics and Games, Redmond, WA, February 2016.

{D. Maljovec, S. Liu, B. Wang, D. Mandelli, P.-T. Bremer, V. Pascucci, C. Smith Analyzing simulation-based PRA data through traditional and topological clustering: A BWR station blackout case study
Proceedings of Rel. Eng. & Sys. Saftey , 2016.

C. Watcharopas, Y. Sapra, R. Geist, J. A. Levine
Extracting Surface Geometry from Particle-Based Fracture Simulations
Proceedings of International Symposium on Visual Computing , Las Vegas, NV, Dec 2015.

R. Geist, J. A. Levine, J. Westall
A problem-based learning approach to GPU computin
Proceedings of the Workshop on Education for High-Performance Computing , Austin, TX, Nov 2015.

B. Husain, A. Gimenez, J. A. Levine, T. Gamblin, P.-T. Bremer
Relating memory performance data to application domain data using an integration API
Proceedings of the 2nd Workshop on Visual Performance Analysis , Austin, TX, Nov 2015.

A. Gyulassy, A. Knoll, K. C. Lau, B. Wang, P.-T. Bremer, M. E. Papka, L. A. Curtiss, V. Pascucci
Morse-Smale Analysis of Ion Diffusion in Ab Initio Battery Materials Simulations.
Proceedings of Topology-Based Methods in Visualization (TopoInVis), 2015.

A. W. Bargteil, B. Jones
Strain Limiting for Clustered Shape Matching
Proceedings of ACM SIGGRAPH Motion in Games, Los Angeles, California, November 2014.
Best Presentation Award

S. Kumar, J. Edwards, P.-T. Bremer, A. Knoll, C. Christensen, V. Vishwanath, P. Carns, J. A. Schmidt, V. Pascucci
Efficient I/O and Storage of Adaptive-Resolution Data.
Proceedings of International Conference for High Performance Computing, Networking, Storage and Analysis,, New Orleans, LA, November 2014.

A. G. Landge, V. Pascucci, A. Gyulassy, J. C. Bennett, H. Kolla, J. Chen, and P.-T. Bremer
In-Situ Feature Extraction of Large Scale Combustion Simulations Using Segmented Merge Trees.
Proceedings of International Conference for High Performance Computing, Networking, Storage and Analysis,, New Orleans, LA, November 2014.

J. A. Levine, A. W. Bargteil, C. Corsi, J. Tessendorf, R. Geist
A Peridynamic Perspective on Spring-Mass Fracture.
Proceedings of ACM SIGGRAPH/Eurographics Symposium on Computer Animation, Copenhagen, Denmark, July 2014.

H. Bhattacharya, J. Levine, A. W. Bargteil
Fluid Simulation on Arbitrary Quadrilateral Surface Meshes.
Proceedings of Structured Meshing: Theory, Applications, and Evaluation, Houstin, Texas, May 2014.

Matthew Berger, Andrea Tagliasacchi, Lee M. Seversky, Pierre Alliez, Joshua A. Levine, Andrei Sharf, and Claudio T. Silva.
State of the art in surface reconstruction from point clouds.
Eurographics - STARs, Strasbourg, France, April 2014.

B. Jones, J. Popovic, J. McCann, W. Li, A. W. Bargteil
Dynamic Sprites.
Proceedings of ACM Motion in Games, Dublin, Ireland, November 2013.

A. Stuart, J. Levine, B. Jones, A. W. Bargteil
Automatic Construction of Coarse, High-quality Tetrahedralizations that Enclose and Approximate Surfaces for Animation.
Proceedings of ACM Motion in Games, Dublin, Ireland, November 2013.

D. Gerszewski, L. Kavan, P.-P. Sloan, A. W. Bargteil
Enhancements to Model-reduced Fluid Simulation.
Proceedings of ACM Motion in Games, Dublin, Ireland, November 2013.

Software


B. Jones, J. Levine, T. Shinar, A. Bargteil
Shape Matching.
2015.

H. Bhattacharya, A. Bargteil
Particle Skinning.
2014.




This material is based upon work supported by the National Science Foundation under Grant No. IIS-1314896, 1314757, 1314813

Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.


Last updated: 07/28/16