Mapping the space of quasisymmetric stellarators using optimized near-axis expansion

dc.contributor.authorLandreman, Matt
dc.date.accessioned2023-09-18T18:40:45Z
dc.date.available2023-09-18T18:40:45Z
dc.date.issued2022-12-23
dc.description.abstractA method is demonstrated to rapidly calculate the shapes and properties of quasi-axisymmetric and quasi-helically symmetric stellarators. In this approach, optimization is applied to the equations of magnetohydrodynamic equilibrium and quasisymmetry, expanded in the small distance from the magnetic axis, as formulated by Garren & Boozer [Phys. Fluids B, vol. 3, 1991, p. 2805]. Due to the reduction of the equations by the expansion, the computational cost is significantly reduced, to times of the order of 1 cpu second, enabling wide and high-resolution scans over parameter space. In contrast to traditional stellarator optimization, here, the cost function serves to maximize the volume in which the expansion is accurate. A key term in the cost function is ∥∇B∥ , the norm of the magnetic field gradient, to maximize scale lengths in the field. Using this method, a database of 5×105 optimized configurations is calculated and presented. Quasisymmetric configurations are observed to exist in continuous bands, varying in the ratio of the magnetic axis length to average major radius. Several qualitatively new types of configuration are found, including quasi-helically symmetric fields in which the number of field periods is two or more than six.
dc.description.urihttps://doi.org/10.1017/S0022377822001258
dc.identifierhttps://doi.org/10.13016/dspace/qqal-k3xt
dc.identifier.citationLandreman, M. (2022). Mapping the space of quasisymmetric stellarators using optimized near-axis expansion. Journal of Plasma Physics, 88(6), 905880616.
dc.identifier.urihttp://hdl.handle.net/1903/30530
dc.language.isoen_US
dc.publisherCambridge University Press
dc.relation.isAvailableAtCollege of Computer, Mathematical & Natural Sciencesen_us
dc.relation.isAvailableAtPhysicsen_us
dc.relation.isAvailableAtDigital Repository at the University of Marylanden_us
dc.relation.isAvailableAtUniversity of Maryland (College Park, MD)en_us
dc.subjectfusion plasma
dc.subjectplasma simulation
dc.titleMapping the space of quasisymmetric stellarators using optimized near-axis expansion
dc.typeArticle
local.equitableAccessSubmissionNo

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