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BEGIN:VEVENT
DTSTAMP:20260428T221313Z
DTSTART;VALUE=DATE-TIME:20211216T150000
DTEND;VALUE=DATE-TIME:20211216T160000
SUMMARY:Elizabeth Paul (Princeton): Adjoint methods for stellarator shape
  optimization and sensitivity analysis
TZID:Europe/London
UID:20211216-8a17841b7b77d624017be4dda3d74988@warwick.ac.uk
CREATED:20211208T153940Z
DESCRIPTION:Abstract: Modern stellarator design requires numerical optimi
 zation to navigate the high-dimensional spaces used to describe their ge
 ometry. Physical insight into the self-adjointness properties of the und
 erlying equations enables advanced optimization methods through the effi
 cient calculation of sensitivity information. The first applications of 
 the adjoint method to stellarator design are reviewed. An adjoint drift-
 kinetic equation is derived based on the self-adjointness property of th
 e Fokker-Planck collision operator [1]. This adjoint method allows one t
 o understand the sensitivity of neoclassical quantities\, such as the ra
 dial collisional transport and bootstrap current\, to perturbations of t
 he magnetic field strength. The well-known self-adjointness property of 
 the MHD force operator is generalized to include perturbations of the ro
 tational transform and the currents outside the confinement region [2-3]
 . This adjoint method enables evaluation of the sensitivity of equilibri
 um properties to perturbations of coil shapes or the plasma boundary. Ad
 joint methods have also been developed to reduce stellarator coil comple
 xity [4]\, eliminate magnetic islands [5]\, and obtain quasisymmetric va
 cuum fields. Applications of these adjoint methods for sensitivity analy
 sis and optimization are reviewed [6]. [1] E. J. Paul\, I. G. Abel\, M. 
 Landreman\, and W. Dorland\, “An adjoint method for neoclassical stellar
 ator optimization\,” Journal of Plasma Physics 85\, 795850501 (2019). [2
 ] T. Antonsen\, Jr.\, E. J. Paul\, and M. Landreman\, “Adjoint approach 
 to calculating shape gradients for 3D magnetic confinement equilibria\,”
  Journal of Plasma Physics 85\, 905850207 (2019). [3] E. J. Paul\, T. An
 tonsen\, Jr.\, M. Landreman\, and W. A. Cooper\, “Adjoint approach to ca
 lculating shape gradients for 3D magnetic confinement equilibria\,” Jour
 nal of Plasma Physics 86\, 905860103 (2020). [4] E. J. Paul\, M. Landrem
 an\, A. Bader\, and W. Dorland\, “An adjoint method for gradient-based o
 ptimization of stellarator coil shapes\,” Nuclear Fusion 58\, 076015 (20
 18). [5] A. Geraldini\, M. Landreman\, and E. J. Paul\, “An adjoint meth
 od for determining the sensitivity of island size to magnetic field vari
 ations\,” Journal of Plasma Physics 87\, 905870302 (2021). [6] E. J. Pau
 l\, M. Landreman\, and T. M. Antonsen\, “Gradient-based optimization of 
 3D MHD equilibria\,” Journal of Plasma Physics 87\, 905870214 (2021). 1
LOCATION:
CATEGORIES:CFSA Seminar
LAST-MODIFIED:20211208T153940Z
ORGANIZER;CN=Anne-Marie Broomhall:
END:VEVENT
END:VCALENDAR