Calculation of large-aspect-ratio tokamak and toroidally-averaged stellarator equilibria of high-beta reduced magnetohydrodynamics via simulated annealing

Furukawa, M.; Watanabe, Takahiro; Morrison, P. J.; Ichiguchi, K.

doi:10.1063/1.5038043

Title: Calculation of large-aspect-ratio tokamak and toroidally-averaged stellarator equilibria of high-beta reduced magnetohydrodynamics via simulated annealing

Journal Article · 05 August 2018 · Physics of Plasmas

DOI: https://doi.org/10.1063/1.5038043 · OSTI ID:1540226

^[1]; Watanabe, Takahiro ^[2];

^[3];

^[4]

Tottori Univ., Tottori (Japan); DOE/OSTI
Tottori Univ., Tottori (Japan)
Univ. of Texas at Austin, Austin, TX (United States)
National Institute for Fusion Science, Toki (Japan); SOKENDAI, The Graduate Univ. for Advanced Studies, Toki (Japan)

A simulated annealing (SA) relaxation method is used for the calculation of high-beta reduced magnetohydrodynamics (MHD) equilibria in toroidal geometry. The SA method, based on artificial dynamics derived from the MHD Hamiltonian structure, is used to calculate equilibria of large-aspect-ratio and circular-cross-section tokamaks as well as toroidally averaged stellarators. Tokamak equilibria including incompressible poloidal rotations are obtained and the Shafranov shift is seen to increase nearly quadratically in the rotation speed. A mapping procedure between non-rotating and poloidally rotating equilibria is shown to explain the quadratic dependence of equilibria shift on rotation. Calculated stellarator equilibria are seen to agree reasonably with previous results. The numerical results demonstrate the first successful application of the SA method to obtain toroidal equilibria.

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Research Organization:: Univ. of Texas, Austin, TX (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: FG05-80ET53088

OSTI ID:: 1540226

Journal Information:: Physics of Plasmas, Journal Name: Physics of Plasmas Journal Issue: 8 Vol. 25; ISSN 1070-664X

Publisher:: American Institute of Physics (AIP)Copyright Statement

Country of Publication:: United States

Language:: English

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Title: Calculation of large-aspect-ratio tokamak and toroidally-averaged stellarator equilibria of high-beta reduced magnetohydrodynamics via simulated annealing

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