Exact Magnetic Diffusion Solutions for Magnetohydrodynamic Code Verification

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In this paper, the authors present several new exact analytic space and time dependent solutions to the problem of magnetic diffusion in R-Z geometry. These problems serve to verify several different elements of an MHD implementation: magnetic diffusion, external circuit time integration, current and voltage energy sources, spatially dependent conductivities, and ohmic heating. The exact solutions are shown in comparison with 2D simulation results from the Ares code.

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PDF-file: 13 pages; size: 0.2 Mbytes

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Miller, D. S. December 3, 2010.

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Description

In this paper, the authors present several new exact analytic space and time dependent solutions to the problem of magnetic diffusion in R-Z geometry. These problems serve to verify several different elements of an MHD implementation: magnetic diffusion, external circuit time integration, current and voltage energy sources, spatially dependent conductivities, and ohmic heating. The exact solutions are shown in comparison with 2D simulation results from the Ares code.

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PDF-file: 13 pages; size: 0.2 Mbytes

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  • Presented at: Nuclear Explosives Code Developers Conference, Los Alamos, NM, United States, Oct 18 - Oct 22, 2010

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  • Report No.: LLNL-CONF-463661
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1027976
  • Archival Resource Key: ark:/67531/metadc843437

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Office of Scientific & Technical Information Technical Reports

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  • December 3, 2010

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  • May 19, 2016, 3:16 p.m.

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  • Nov. 28, 2016, 1:52 p.m.

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Miller, D. S. Exact Magnetic Diffusion Solutions for Magnetohydrodynamic Code Verification, article, December 3, 2010; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc843437/: accessed December 13, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.