Adjoint methods for quasi-symmetry of vacuum fields on a surface

Nies, Richard; Paul, Elizabeth J.; Hudson, Stuart R.; Bhattacharjee, Amitava

doi:10.1017/s0022377821001264

Adjoint methods for quasi-symmetry of vacuum fields on a surface

Journal Article · Thu Jan 20 23:00:00 EST 2022 · Journal of Plasma Physics

DOI:https://doi.org/10.1017/s0022377821001264· OSTI ID:1873483

^[1]; ^[1]; Hudson, Stuart R. ^[2]; Bhattacharjee, Amitava ^[1]

Princeton Univ., NJ (United States); Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)

Adjoint methods can speed up stellarator optimisation by providing gradient information more efficiently compared with finite-difference evaluations. Adjoint methods are herein applied to vacuum magnetic fields, with objective functions targeting quasi-symmetry and a rotational transform value on a surface. Here to measure quasi-symmetry, a novel way of evaluating approximate flux coordinates on a single flux surface without the assumption of a neighbourhood of flux surfaces is proposed. The shape gradients obtained from the adjoint formalism are evaluated numerically and verified against finite-difference evaluations.

View Accepted Manuscript (DOE)

Research Organization:: Princeton Plasma Physics Laboratory (PPPL), Princeton, NJ (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-09CH11466; AC02-76CH03073; SC0016072

OSTI ID:: 1873483

Journal Information:: Journal of Plasma Physics, Journal Name: Journal of Plasma Physics Journal Issue: 1 Vol. 88; ISSN 0022-3778

Publisher:: Cambridge University PressCopyright Statement

Country of Publication:: United States

Language:: English

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