Using a two-step matrix solution to reduce the run time in KULL's magnetic diffusion package

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Recently a Resistive Magnetohydrodynamics (MHD) package has been added to the KULL code. In order to be compatible with the underlying hydrodynamics algorithm, a new sub-zonal magnetics discretization was developed that supports arbitrary polygonal and polyhedral zones. This flexibility comes at the cost of many more unknowns per zone - approximately ten times more for a hexahedral mesh. We can eliminate some (or all, depending on the dimensionality) of the extra unknowns from the global matrix during assembly by using a Schur complement approach. This trades expensive global work for cache-friendly local work, while still allowing solution for the full ... continued below

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Brunner, T A & Kolev, T V December 17, 2010.

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Recently a Resistive Magnetohydrodynamics (MHD) package has been added to the KULL code. In order to be compatible with the underlying hydrodynamics algorithm, a new sub-zonal magnetics discretization was developed that supports arbitrary polygonal and polyhedral zones. This flexibility comes at the cost of many more unknowns per zone - approximately ten times more for a hexahedral mesh. We can eliminate some (or all, depending on the dimensionality) of the extra unknowns from the global matrix during assembly by using a Schur complement approach. This trades expensive global work for cache-friendly local work, while still allowing solution for the full system. Significant improvements in the solution time are observed for several test problems.

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PDF-file: 1 pages; size: 1.5 Mbytes

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  • Presented at: USING A TWO-STEP MATRIX SOLUTION TO REDUCE RUN TIME IN KULL'S MAGNETIC DIFFUSION PACKAGE, Rio de Janeiro, Brazil, May 08 - May 12, 2011

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  • Report No.: LLNL-PROC-464276
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1018814
  • Archival Resource Key: ark:/67531/metadc835447

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  • December 17, 2010

Added to The UNT Digital Library

  • May 19, 2016, 3:16 p.m.

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  • Dec. 2, 2016, 5:57 p.m.

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Brunner, T A & Kolev, T V. Using a two-step matrix solution to reduce the run time in KULL's magnetic diffusion package, article, December 17, 2010; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc835447/: accessed September 24, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.