Open Boundary Conditions for Dissipative MHD

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In modeling magnetic confinement, astrophysics, and plasma propulsion, representing the entire physical domain is often difficult or impossible, and artificial, or 'open' boundaries are appropriate. A novel open boundary condition (BC) for dissipative MHD, called Lacuna-based open BC (LOBC), is presented. LOBC, based on the idea of lacuna-based truncation originally presented by V.S. Ryaben'kii and S.V. Tsynkov, provide truncation with low numerical noise and minimal reflections. For hyperbolic systems, characteristic-based BC (CBC) exist for separating the solution into outgoing and incoming parts. In the hyperbolic-parabolic dissipative MHD system, such separation is not possible, and CBC are numerically unstable. LOBC are ... continued below

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PDF-file: 25 pages; size: 1.5 Mbytes

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Meier, E T November 10, 2011.

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In modeling magnetic confinement, astrophysics, and plasma propulsion, representing the entire physical domain is often difficult or impossible, and artificial, or 'open' boundaries are appropriate. A novel open boundary condition (BC) for dissipative MHD, called Lacuna-based open BC (LOBC), is presented. LOBC, based on the idea of lacuna-based truncation originally presented by V.S. Ryaben'kii and S.V. Tsynkov, provide truncation with low numerical noise and minimal reflections. For hyperbolic systems, characteristic-based BC (CBC) exist for separating the solution into outgoing and incoming parts. In the hyperbolic-parabolic dissipative MHD system, such separation is not possible, and CBC are numerically unstable. LOBC are applied in dissipative MHD test problems including a translating FRC, and coaxial-electrode plasma acceleration. Solution quality is compared to solutions using CBC and zero-normal derivative BC. LOBC are a promising new open BC option for dissipative MHD.

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PDF-file: 25 pages; size: 1.5 Mbytes

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  • Presented at: APS DPP 2011, Salt Lake City, UT, United States, Nov 14 - Nov 18, 2011

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  • Report No.: LLNL-CONF-513455
  • Grant Number: W-7405-ENG-48
  • Office of Scientific & Technical Information Report Number: 1035603
  • Archival Resource Key: ark:/67531/metadc830079

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • November 10, 2011

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  • May 19, 2016, 3:16 p.m.

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  • Nov. 30, 2016, 2:43 p.m.

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Meier, E T. Open Boundary Conditions for Dissipative MHD, article, November 10, 2011; Livermore, California. (digital.library.unt.edu/ark:/67531/metadc830079/: accessed May 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.