A Regularized Approach for Solving Magnetic Differential Equations and a Revised Iterative Equilibrium Algorithm

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Description

A method for approximately solving magnetic differential equations is described. The approach is to include a small diffusion term to the equation, which regularizes the linear operator to be inverted. The extra term allows a "source-correction" term to be defned, which is generally required in order to satisfy the solvability conditions. The approach is described in the context of computing the pressure and parallel currents in the iterative approach for computing magnetohydrodynamic equilibria. __________________________________________________

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202Kb

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Hudson, S. R. October 13, 2010.

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Description

A method for approximately solving magnetic differential equations is described. The approach is to include a small diffusion term to the equation, which regularizes the linear operator to be inverted. The extra term allows a "source-correction" term to be defned, which is generally required in order to satisfy the solvability conditions. The approach is described in the context of computing the pressure and parallel currents in the iterative approach for computing magnetohydrodynamic equilibria. __________________________________________________

Physical Description

202Kb

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  • Physics of Plasmas (2010)

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  • Report No.: PPPL-4567
  • Grant Number: DE-ACO2-09CH11466
  • DOI: 10.2172/990749 | External Link
  • Office of Scientific & Technical Information Report Number: 990749
  • Archival Resource Key: ark:/67531/metadc1012951

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  • October 13, 2010

Added to The UNT Digital Library

  • Oct. 14, 2017, 8:36 a.m.

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  • Jan. 2, 2018, 1:32 p.m.

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Hudson, S. R. A Regularized Approach for Solving Magnetic Differential Equations and a Revised Iterative Equilibrium Algorithm, report, October 13, 2010; Princeton, New Jersey. (digital.library.unt.edu/ark:/67531/metadc1012951/: accessed June 22, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.