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Toward Automatic Grid Generation

Toward Automatic Grid Generation. Si Loi Leung. University of Hawaii. Mechanical Engineering. Mentor: Dr. Nathan Prewitt. Project Goals. Write a program to generate shape structure graphs for any given boundaries

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Toward Automatic Grid Generation

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  1. Toward Automatic Grid Generation Si Loi Leung

  2. University of Hawaii Mechanical Engineering Mentor: Dr. Nathan Prewitt

  3. Project Goals • Write a program to generate shape structure graphs for any given boundaries • Investigate how it could possibly be employed in automatic grid generation of any arbitrary boundaries

  4. Outline • How to create shape structure graphs • Evaluation of the shape structure graphs • A look at the medial axis

  5. Grid Generation

  6. Getting Complicated

  7. Multi-Block Topology

  8. Shape Structure Graphs • Idea started from an article by Vitaly Ablavsky in the C/C++ Users Journal

  9. Voronoi Diagram The Voronoi diagram of a collection of nodes is a partition of space into cells, where any point within a cell is closer to its respective node than to any others.

  10. Voronoi in Action

  11. Medial Axis The medial axis is the collection of center points of circles that touch the boundary at least twice.

  12. Medial Axis in Action

  13. Medial Axis in Action

  14. Shape Structure Graph The shape structure graph is a meta-graph with respect to the medial axis and retains only the “interesting” vertices.

  15. Shape Structure Graph

  16. Easymesh/Showmesh Easymesh • Bojan Niceno • Generates two-dimensional unstructured meshes • Showmesh is a graphical interface to show the results

  17. Input 5 0: 0 0 5 1 1: 5 0 5 1 2: 5 2.5 5 2 3: 3.5 4 5 2 4: 0 4 5 1 # x y scale marker 5 0: 0 1 1 1: 1 2 2 2: 2 3 3 3: 3 4 4 4: 4 0 5 # a b marker

  18. 3 0: 0 3 4 -1 -1 1 5 6 4 2.5000 .25000 -1 1: 0 2 3 2 -1 0 4 2 1 2.4167 1.4167 -1 2: 3 1 2 -1 1 -1 3 1 0 1.7500 2.0000 -1 ------------------------------------------------------------------------ e: i, j, k, ei, ej, ek, si, sj, sk xV, yV sign Output

  19. samples

  20. Evaluation • Shape structure graph? • Medial axis graph?

  21. TopMaker • By David L. Rigby, QSS Group • Technique to generate multi-block topologies using the medial axis

  22. How to Divide

  23. Creating the Multi-block Topology

  24. Something Like This

  25. Conclusion • Work in progress • What I learned • C/C++ • Linux • CFD • Acknowledgement • Dr. Nathan Prewitt • PET staff • PET interns

  26. Thank You

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