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This paper presents a new finite element (FE) formulation for liquid shells that is based on an explicit, 3D surface discretization using $C^1$-continuous finite elements constructed from NURBS interpolation. Both displacement-based and…

Computational Engineering, Finance, and Science · Computer Science 2017-01-04 Roger A. Sauer , Thang X. Duong , Kranthi K. Mandadapu , David J. Steigmann

We report on development of a new feature of the code HFODD, allowing for the angular-momentum projection of cranked symmetry-unrestricted Slater determinants. After a brief overview of the main theoretical building blocks and formalism, we…

Nuclear Theory · Physics 2008-11-26 H. Zdunczuk , J. Dobaczewski , W. Satula

Optimization of beamlines and lattices is a common problem in accelerator physics, which is usually solved with semi-analytical methods and numerical optimization routines. However, these are usually of the gradient-free or…

Accelerator Physics · Physics 2025-07-14 Francisco Huhn , Francesco M. Velotti

Aerospace production volumes have increased over time and robotic solutions have been progressively introduced in the aeronautic assembly lines to achieve high-quality standards, high production rates, flexibility and cost reduction.…

Robotics · Computer Science 2021-07-12 Federica Storiale , Enrico Ferrentino , Pasquale Chiacchio

In fusion reactor design, steels under consideration for the blanket are ferromagnetic, so the steel's effect on the plasma physics must be examined. For efficient calculation of these fields, we can exploit the fact that the magnetic…

Plasma Physics · Physics 2026-01-13 Matt Landreman , Humberto Torreblanca , Antoine Cerfon

Being three-dimensional, stellarators have the advantage that plasma currents are not essential for creating rotational-transform; however, the external current-carrying coils in stellarators can have strong geometrical shaping, which can…

Plasma Physics · Physics 2025-09-16 S. Guinchard , S. R. Hudson , E. J. Paul

Tight tolerances have been a leading driver of cost in recent stellarator experiments, so improved definition and control of tolerances can have significant impact on progress in the field. Here we relate tolerances to the shape gradient…

Plasma Physics · Physics 2018-03-09 Matt Landreman , Elizabeth J Paul

The DESC stellarator optimization code takes advantage of advanced numerical methods to search the full parameter space much faster than conventional tools. Only a single equilibrium solution is needed at each optimization step thanks to…

Plasma Physics · Physics 2023-04-19 Daniel Dudt , Rory Conlin , Dario Panici , Egemen Kolemen

I present the results of the analytic plane strain optimization of the structure and conductor grading in the inner leg of a Tokamak toroidal field coil. The coil is assumed to be made of regions of soft conductor inside a stiff grid of…

Plasma Physics · Physics 2022-10-11 Charles PS Swanson

Context: Calculating stellar pulsations requires a sufficient accuracy to match the quality of the observations. Many current pulsation codes apply a second order finite-difference scheme, combined with Richardson extrapolation to reach…

Solar and Stellar Astrophysics · Physics 2015-06-16 D. R. Reese

Confining energetic ions such as alpha particles is a prime concern in the design of stellarators. However, directly measuring alpha confinement through numerical simulation of guiding-center trajectories has been considered to be too…

Plasma Physics · Physics 2025-11-26 David Bindel , Matt Landreman , Misha Padidar

Access to the plasma chamber in a stellarator reactor is essential for maintenance and diagnostics. However, the complex geometry of stellarator coils, often characterized by their strong twisting, can severely limit the space available for…

Plasma Physics · Physics 2025-02-19 A. Baillod , E. J. Paul , T. Elder , J. M. Halpern

The first stellarator design was a simple tube of plasma twisted and closed on itself in the form of a figure-8. The line of such devices, however, was quickly ended over concerns related to plasma stability. We revisit the figure-8…

Plasma Physics · Physics 2025-02-11 G. G. Plunk , M. Drevlak , E. Rodriguez , R. Babin , A. Goodman , F. Hindenlang

Coronagraph instruments on future space telescopes will enable the direct detection and characterization of Earth-like exoplanets around Sun-like stars for the first time. The quest for the optimal optical coronagraph designs has made rapid…

Instrumentation and Methods for Astrophysics · Physics 2018-08-30 G. Ruane , A. Riggs , C. T. Coker , S. B. Shaklan , E. Sidick , D. Mawet , J. Jewell , K. Balasubramanian , C. C. Stark

The distance between the last closed flux surface (LCFS) and the nearest electromagnetic coils is a dominating factor in the cost, size, and engineering difficulty of stellarators. The smallest magnetic gradient scale length on the LCFS -…

Plasma Physics · Physics 2026-02-24 John Kappel , Matt Landreman , Philipp Jurašić , Sophia A Henneberg

The requirements on the Final Focusing System (FFS) for a new linear collider has lead to lattice designs where chromaticity is corrected either locally or non-locally. Here, we present the status of an alternative lattice design developed…

Accelerator Physics · Physics 2015-04-02 Oscar Blanco , Rogelio Tomas , Philip Bambade

Code generation based software platforms, such as Firedrake, have become popular tools for developing complicated finite element discretisations of partial differential equations. We extended the code generation infrastructure in Firedrake…

Mathematical Software · Computer Science 2017-11-08 Miklós Homolya , Robert C. Kirby , David A. Ham

We consider the novel problem of optimizing a large set of passive superconducting coils (PSCs) with currents induced by a background magnetic field rather than power supplies. In the nuclear fusion literature, such coils have been proposed…

Plasma Physics · Physics 2025-01-23 Alan A. Kaptanoglu , Matt Landreman , Michael C. Zarnstorff

With more efficient structures, last trends in aeronautics have witnessed an increased flexibility of wings, calling for adequate design and optimization approaches. To correctly model the coupled physics, aerostructural optimization has…

Computational Engineering, Finance, and Science · Computer Science 2021-06-04 Rocco Bombardieri , Rauno Cavallaro , Ruben Sanchez , Nicolas R. Gauger

In the present work, we investigate the computational efficiency afforded by higher-order finite-element discretization of the saddle-point formulation of orbital-free density functional theory. We first investigate the robustness of viable…

Computational Physics · Physics 2015-05-30 Phani Motamarri , Mrinal Iyer , Jaroslaw Knap , Vikram Gavini