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It was recently shown in [Wechsung et. al., Proc. Natl. Acad. Sci. USA, 2022] that there exist electromagnetic coils that generate magnetic fields which are excellent approximations to quasi-symmetric fields and have very good particle…

等离子体物理 · 物理学 2022-09-28 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

Balancing plasma performance and coil cost is a significant challenge when designing a stellarator power plant. Most current stellarator designs are produced through two-stage optimization: stage-1 for the equilibrium and stage-2 for a coil…

等离子体物理 · 物理学 2026-05-01 Lanke Fu , Dario Panici , Elizabeth Paul , Alan Kaptanoglu , Amitava Bhattacharjee

In the construction of a stellarator, the manufacturing and assembling of the coil system is a dominant cost. These coils need to satisfy strict engineering tolerances, and if those are not met the project could be canceled as in the case…

等离子体物理 · 物理学 2022-05-04 Silke Glas , Misha Padidar , Ariel Kellison , David Bindel

Design and modeling of a stellarator fusion reactor is a multidisciplinary effort that requires a tight integration between simulation of highly nonlinear multi-physics and representation of non-planar complex geometries. The critical…

等离子体物理 · 物理学 2023-11-23 Merle Backmeyer , Nicolo Riva , Mika Lyly , Alexandre Halbach , Valtteri Lahtinen

Single-stage optimization, also known as combined plasma-coil algorithms or direct coil optimization, has recently emerged as a possible method to expedite the design of stellarator devices by including, in a single step, confinement,…

等离子体物理 · 物理学 2024-06-13 R. Jorge , A. Giuliani , J. Loizu

Most present stellarator designs are produced by costly two-stage optimization: the first for an optimized equilibrium, and the second for a coil design reproducing its magnetic configuration. Few proxies for coil complexity and forces…

等离子体物理 · 物理学 2025-06-11 Lanke Fu , Elizabeth J. Paul , Alan A. Kaptanoglu , Amitava Bhattacharjee

Many stellarator coil design problems are plagued by multiple minima, where the locally optimal coil sets can sometimes vary substantially in performance. As a result, solving a coil design problem a single time with a local optimization…

计算物理 · 物理学 2024-05-22 Andrew Giuliani

The reduction of magnetic forces on electromagnetic coils is an important consideration in the design of high-field devices such as the stellarator or tokamak. Unfortunately, these forces may be too time-consuming to evaluate by…

等离子体物理 · 物理学 2024-10-15 Siena Hurwitz , Matt Landreman , Alan Kaptanoglu

We present the first single-stage optimization of islands in finite-$\beta$ stellarator equilibria. Stellarator optimization is traditionally performed as a two-stage process; in the first stage, an optimal equilibrium is calculated which…

等离子体物理 · 物理学 2024-07-03 Christopher Berg Smiet , Joaquim Loizu , Erol Balkovic , Antoine Baillod

Designing magnets for three-dimensional plasma confinement is a key task for advancing the stellarator as a fusion reactor concept. Stellarator magnets must produce an accurate field while leaving adequate room for other components and…

等离子体物理 · 物理学 2025-03-12 K. C. Hammond

We extend the single-stage stellarator coil design approach for quasi-symmetry on axis from [Giuliani et al, 2020] to additionally take into account coil manufacturing errors. By modeling coil errors independently from the coil…

最优化与控制 · 数学 2022-05-18 Florian Wechsung , Andrew Giuliani , Matt Landreman , Antoine Cerfon , Georg Stadler

Finding an easy-to-build coils set has been a critical issue for stellarator design for decades. Conventional approaches assume a toroidal "winding" surface. We'll investigate if the existence of winding surface unnecessarily constrains the…

等离子体物理 · 物理学 2017-11-22 Caoxiang Zhu , Stuart R. Hudson , Yuntao Song , Yuanxi Wan

Stellarator plasmas are externally controlled to a degree unparalleled by any other fusion concept, magnetic or inertial. This control is largely through the magnetic fields produced by external coils. The development of fusion energy could…

等离子体物理 · 物理学 2024-03-29 Allen H Boozer

In this work we consider the problem of optimizing a stellarator subject to hard constraints on the design variables and physics properties of the equilibrium. We survey current numerical methods for handling these constraints, and…

等离子体物理 · 物理学 2024-11-20 Rory Conlin , Patrick Kim , Daniel W. Dudt , Dario Panici , Egemen Kolemen

A new stellarator coil design code is introduced that optimizes the position and winding pack orientation of finite-build coils. The new code, called FOCUSADD, performs gradient-based optimization in a high-dimensional, non-convex space.…

等离子体物理 · 物理学 2021-02-03 Nick McGreivy , Stuart R. Hudson , Caoxiang Zhu

We examine aspects of the computation of finite element matrices and vectors which are made possible by automated code generation. Given a variational form in a syntax which resembles standard mathematical notation, the low-level computer…

数学软件 · 计算机科学 2011-04-04 Kristian B. Ølgaard , Garth N. Wells

Predictive modeling of stellarator plasmas is crucial for advancing nuclear fusion energy, yet it faces unique computational difficulties. One of the main challenges is accurately simulating the dynamics of specific particle species that…

等离子体物理 · 物理学 2025-11-21 Luca Venerando Greco

I/O performance is crucial to efficiency in data-intensive scientific computing; but tuning large-scale storage systems is complex, costly, and notoriously manpower-intensive, making it inaccessible for most domain scientists. To address…

分布式、并行与集群计算 · 计算机科学 2026-02-27 Chris Egersdoerfer , Philip Carns , Shane Snyder , Robert Ross , Dong Dai

We present an algorithm for the optimization of a class of finite element integration loop nests. This algorithm, which exploits fundamental mathematical properties of finite element operators, is proven to achieve a locally optimal…

数学软件 · 计算机科学 2017-05-11 Fabio Luporini , David A. Ham , Paul H. J. Kelly

Creating high performance implementations of deep learning primitives on CPUs is a challenging task. Multiple considerations including multi-level cache hierarchy, and wide SIMD units of CPU platforms influence the choice of program…

编程语言 · 计算机科学 2021-04-13 Sanket Tavarageri , Gagandeep Goyal , Sasikanth Avancha , Bharat Kaul , Ramakrishna Upadrasta
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