1. Interactive Computational Sciences Laboratory Clarence O. E. Burg Assistant Professor of Mathematics University of Central Arkansas Science Museum of Minnesota September 11, 2008

2. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Motivation for Project  Interactive investigations are superior to static presentations  Personal experience while in graduate school  PhD Advisor’s work on Smithsonian exhibit titled “How Wings Work”

3. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Presentation  The computational sciences process  The scope of the computational sciences  Current implementation  Future computational platform  Current needs/plans

4. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Presentation  The computational sciences process  The scope of the computational sciences  Current implementation  Future computational platform  Current needs/plans

5. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Computational Sciences  Develop mathematical model of physical phenomena  Represent physical domain using discrete points, called a grid or mesh  Approximately solve mathematical equations on these discrete points  Visualize, analyze and interpret the results

6. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Example – Water Flow in 2D  One possible system of equations  This system is well understood and the algorithms for solving it are mature

7. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Computational Mesh or Grid Grid 1 (641 elements) Grid 2 - Coarse (2564 elements) Grid 3 - Refined (10256 elements)

8. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Computational Solution

9. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Summary of Computational Sciences  Mesh or grid generation is similar for each discipline  Visualization is similar for each discipline  Numerical schemes are well understood  Unified framework for simulating a wide variety of computational science phenomena has been developed

10. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Presentation  The computational sciences process  The scope of the computational sciences  Current implementation  Future computational platform  Current needs/plans

11. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Scope of the Computational Sciences  Almost any physical process can be modeled in 2D or 3D (except at the molecular level).  Models are based on conservation laws, so any physical process that obeys conservation laws can be modeled and simulated.  In 2D, most of these phenomena have been studied extensively via computational tools, so the algorithms are well understood and the typical interesting phenomena are well documented.

12. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Water Waves

13. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Aerospace Engineering

14. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Hydraulic Engineering

15. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Meteorology

16. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Electro-Magnetics

17. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Structural Dynamics and Mechanics

18. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Underground Phenomena

19. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Presentation  The computational sciences process  The scope of the computational sciences  Current implementation  Future computational platform  Current needs/plans

20. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Current Status  Interface for selection Cases Solver options Physical parameters  Computational Solver Air flow equations Water flow equations (as seen from above)  Visualizer

21. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Shallow Water Interface

22. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Images from simulation of channel contraction (flow from left to right) Early in simulation Waves form within contraction Waves begin to stabilize Final solution Water depth is shown, red and white are high levels of water, while blue and black are low levels

23. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas In-flow speed increased by approximately 20% Solution from previous simulation Increased flow rate forcing out slower and deeper water Final Solution

24. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Compressible (Air) Interface

25. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Supersonic regimes for transonic flows

26. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Transonic NACA 0012 4 deg, Ma = 0.75 DensityMach Number

27. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Transonic NACA0012 0 deg, Ma=0.75 DensityMach Number

28. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Shock waves from supersonic wing

29. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Supersonic NACA 0012 4 degrees, Ma = 1.50 DensityMach Number

30. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Field Test  Summer 2008, Math department held a weekly math camp for high school students  These two computational packages were used  Lessons learned The three codes need to be integrated within one package Students quickly figured out how to use interface More guidance is needed to make these tools effective educationally.

31. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Presentation  The computational sciences process  The scope of the computational sciences  Current implementation  Future computational platform  Current needs/plans

32. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Computational Platform  Sony Playstation 3 Uses Cell Broadband Engine processor Performs math computations at roughly 15-20 times faster than a single processor PC Used in Dept of Energy’s Roadrunner supercomputer, the world’s fastest Software must be completely redesigned and rewritten Limited memory Due to speed and limited memory, this machine is perfect for 2D interactive computational simulations

33. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Overview of Presentation  The computational sciences process  The scope of the computational sciences  Current implementation  Future computational platform  Current needs/plans

34. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Current Needs/Plans  Merge the three programs into one program Internet based Sony PS3 based  Discipline specific expertise  Expertise in designing and developing effective museum exhibits  Increase scope and depth for computational sciences platform

35. clarenceb@uca.edu Science Museum of Discovery September 11, 2008 Clarence O. E. Burg University of Central Arkansas Thanks!