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A Comparison of Partitioning Schemes for Blockwise Parallel SAMR Algorithms

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Applied Parallel Computing. New Paradigms for HPC in Industry and Academia (PARA 2000)

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Abstract

This paper presents an experimental comparison of dynamic partitioning techniques for blockwise parallel structured adaptive mesh refinement applications. A new partitioning technique, G-MISP, is described. Policies for the automatic selection of partitioner based on application and system state are outlined. Adaptive methods for the numerical solution to partial differential equations yield highly advantageous ratios for cost/accuracy compared to methods based upon static uniform approximations. Distributed implementations offer the potential for accurate solution of physically realistic models of important applications. They also lead to interesting challenges in dynamic resource allocation, e.g. dynamic load balancing. The results show that G-MISP is preferable for communication dominated cases where the block graph has high granularity. Recommendations for appropriate partitioning techniques, given application and system state, are given. It was found that our classification model needs to be extended to accurately capture the behavior of the cases studied.

This research was supported by the Swedish Foundation for Strategic Research via the program of Industrial Computational Mathematics.

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References

  1. Stephen T. Barnard and Horst D. Simon. A fast multilevel implementation of recursive spectral bisection for partitioning unstructured problems. Technical report, NAS Systems Division, NASA Ames Research Center, 1994.

    Google Scholar 

  2. M. J. Berger and P. Colella. Local adaptive mesh refinement for shock hydrodynamics. Journal of Computational Physics, 82, 1989.

    Google Scholar 

  3. Marsha J. Berger and Joseph Oliger. Adaptive mesh refinement for hyperbolic partial differential equations. Journal of Computational Physics, 53, 1983.

    Google Scholar 

  4. L. Ferm and P. Lötstedt. Blockwise adaptive grids with multigrid acceleration for compressible flow. AIAA J., 37: 121–123, 1999.

    Article  Google Scholar 

  5. G. Karypis, K. Schloegel, and V. Kumar. PARMETIS— parallel graph partitioning and sparse matrix ordering library, version 2.0. Univ. of Minnesota, Minneapolis, MN, 1998.

    Google Scholar 

  6. P. Lötstedt and S. Söderberg. Parallel solution of hyperbolic PDEs with space-time adaptivity. In D. Hänel R. Vilsmeier, F. Benkhaldour, editor, Finite Volumes for Complex Applications II, pages 769–776, Paris, 1999. Hermes Science.

    Google Scholar 

  7. Chao-Wei Ou and Sanjay Ranka. Parallel remapping algorithms for adaptive problems. Technical report, Center for Research on Parallel Computation, Rice University, 1994.

    Google Scholar 

  8. M. Parashar, et al. A common data management infrastructure for adaptive algorithms for PDE solutions. Technical Paper at Supercomputing’ 97, 1997.

    Google Scholar 

  9. John R. Pilkington and Scott B. Baden. Partitioning with spacefilling curves. Technical Report CS94-34, CSE, UCSD, March 1994.

    Google Scholar 

  10. K. G. Powell, et al. A solution-adaptive upwind scheme for ideal magnetohydrodynamics. J. Comput. Phys., 154: 284–309, 1999.

    Article  MATH  MathSciNet  Google Scholar 

  11. Jarmo Rantakokko. Data Partitioning Methods and Parallel Block-Oriented PDE Solvers. PhD thesis, Uppsala University, 1998.

    Google Scholar 

  12. Hans Sagan. Space-filling curves. Springer-Verlag, 1994.

    Google Scholar 

  13. H. Samet. The design and analysis of spatial data structure. Addison-Wesley, Reading, Massachusetts, 1989.

    Google Scholar 

  14. K. Schloegel, et al. A performance study of diffusive vs. remapped load balancing schemes. Technical Report 98-018, Dept. of Computer Science, Univ. of Minnesota, Minneapolis, MN, 1998.

    Google Scholar 

  15. Mausumi Shee, Samip Bhavsar, and Manish Parashar. Characterizing the performance of dynamic distribution and load-balancing techniques for adaptive grid hierarchies. 1999.

    Google Scholar 

  16. Johan Steensland. http://www.tdb.uu.se/~johans/.. Work in progress, 1999.

  17. Johan Steensland. Vampire homepage, http://www.caip.rutgers.edu/~johans/vampire/. 2000.

  18. Johan Steensland, Sumir Chandra, Manish Parashar, and Michael Thuné. Characterization of domain-based partitioners for parallel samr applications. Submitted to PDCS2000, 2000.

    Google Scholar 

  19. Erlendur Steinthorsson and David Modiano. Advanced methodology for simulation of complex ows using structured grid systems. ICOMP, 28, 1995.

    Google Scholar 

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Steensland, J., Söderberg, S., Thuné, M. (2001). A Comparison of Partitioning Schemes for Blockwise Parallel SAMR Algorithms. In: Sørevik, T., Manne, F., Gebremedhin, A.H., Moe, R. (eds) Applied Parallel Computing. New Paradigms for HPC in Industry and Academia. PARA 2000. Lecture Notes in Computer Science, vol 1947. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-70734-4_20

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  • DOI: https://doi.org/10.1007/3-540-70734-4_20

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