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Although the H-formulation has proven to be one of the most versatile formulations used to accurately model superconductors in the finite element method, the use of vector dependent variables in non-conducting regions leads to unnecessarily…

超导电性 · 物理学 2021-04-20 Alexandre Arsenault , Frédéric Sirois , Francesco Grilli

Despite the acclaimed success of the magnetic field (H) formulation for modeling the electromagnetic behavior of superconductors with the finite element method, the use of vector-dependent variables in non-conducting domains leads to…

计算物理 · 物理学 2021-10-13 Alexandre Arsenault , Bruno de Sousa Alves , Frédéric Sirois

The growing interest in the modeling of superconductors has led to the development of effective numerical methods and software. One of the most utilized approaches for magnetoquasistatic simulations in applied superconductivity is the $H$…

We discuss the relevance of several finite-element formulations for nonlinear systems containing high-temperature superconductors (HTS) and ferromagnetic materials (FM), in the context of a 3D motor pole model. The formulations are…

加速器物理 · 物理学 2024-06-25 Julien Dular , Kévin Berger , Christophe Geuzaine , Benoît Vanderheyden

In this work, we present a parallel, fully-distributed finite element numerical framework to simulate the low-frequency electromagnetic response of superconducting devices, which allows to efficiently exploit HPC platforms. We select the…

计算工程、金融与科学 · 计算机科学 2018-04-13 Marc Olm , Santiago Badia , Alberto F. Martín

Finite-element simulations of magnetostatic fields are performed in terms of magnetic vector and total scalar potentials and compared for purpose of modeling the accelerator magnets. The potentials represent the unknown variables associated…

计算物理 · 物理学 2021-07-06 Alexander Chervyakov

The development of the high-temperature superconductors (HTS) conductors has allowed the development of diverse superconductor devices. Some of these devises, like the power generators and high-field magnets, are classified as large-scale…

应用物理 · 物理学 2020-06-04 Edgar Berrospe-Juarez , Frederic Trillaud , Victor M R Zermeno , Francesco Grilli

This paper presents a novel finite-element approach for the electromagnetic modeling of superconducting coated conductors. We combine a thin-shell (TS) method to the $H$-$\phi$ formulation to avoid the meshing difficulties related to the…

计算物理 · 物理学 2022-01-12 Bruno de Sousa Alves , Valtteri Lahtinen , Marc Laforest , Frédéric Sirois

We make progress towards a 3D finite-element model for the magnetization of a high temperature superconductor (HTS): We suggest a method that takes into account demagnetisation effects and flux creep, while it neglects the effects…

The emergence of second-generation high temperature superconducting tapes has favored the development of large-scale superconductor systems. The mathematical models for superconductors have evolved from simple analytical models to complex…

This paper deals with the modelling of superconducting and resistive wires with a helicoidal symmetry, subjected to an external field and a transport current. Helicoidal structures are three-dimensional, and therefore yield computationally…

The simulation of large-scale high-temperature superconducting (HTS) magnets is a computational challenge due to the multiple spatial scales involved, from the magnet to the detailed turn-to-turn geometry. To reduce the computational cost…

加速器物理 · 物理学 2025-10-13 Louis Denis , Benoît Vanderheyden , Christophe Geuzaine

This paper introduces a new approach for simulating magnetic properties of nanocomposites comprising magnetic particles embedded in a non-magnetic matrix, taking into account the 3D structure of the system in which particles' positions…

介观与纳米尺度物理 · 物理学 2014-10-22 R. F. Neumann , M. Bahiana , L. G. Paterno , M. A. G. Soler , J. P. Sinnecker , J. G. Wen , P. C. Morais

The complicated mesoscopic configurations of composite plate and shell structures requires a huge amount of computational overhead for directly simulating their mechanical problems. In this paper, a unified high-order multi-scale method,…

数值分析 · 数学 2023-05-02 Ge Bu-Feng , Gao Ming-Yuan , Dong Hao

Magnetostatic field calculations in micromagnetic simulations can be numerically expensive, particularly in the case of large-scale finite element simulations. The established finite element / boundary element method (FEM/BEM) by Fredkin &…

数值分析 · 数学 2019-03-27 Riccardo Hertel , Sven Christophersen , Steffen Börm

In this work we will introduce the A-V-A formulation based iterative algorithm method (IAM) for simulating the magnetization current of high temperature superconductors. This new method embedded in ANSYS can simulate the critical state…

超导电性 · 物理学 2021-01-11 Kai Zhang , Sebastian Hellmann , Marco Calvi , Thomas Schmidt , Lucas Brouwer

The modeling of superconducting magnetic bearing (SMB) is of great significance for predicting and optimizing its levitation performance before construction. Although lots of efforts have been made in this area, it still remains some space…

超导电性 · 物理学 2018-08-01 Loïc Quéval , Kun Liu , Wenjiao Yang , Víctor M. R. Zermeño , Guangtong Ma

We extend the foil winding homogenization method to magnetic field conforming formulations. We first propose a full magnetic field foil winding formulation by analogy with magnetic flux density conforming formulations. We then introduce the…

计算工程、金融与科学 · 计算机科学 2026-05-19 Louis Denis , Elias Paakkunainen , Paavo Rasilo , Sebastian Schöps , Benoît Vanderheyden , Christophe Geuzaine

To efficiently implement many-particle quantum simulations on quantum computers we develop and present methods for inverting the Campbell-Baker-Hausdorff lemma to 3rd and 4th order in the commutator. That is, we reexpress exp{-i(H_1 + H_2 +…

量子物理 · 物理学 2007-05-23 A. T. Sornborger , E. D. Stewart

Circuit QED enables the combined use of qubits and oscillator modes. Despite a variety of available gate sets, many hybrid qubit-boson (i.e., oscillator) operations are realizable only through optimal control theory (OCT) which is…

量子物理 · 物理学 2025-01-08 Christopher Kang , Micheline B. Soley , Eleanor Crane , S. M. Girvin , Nathan Wiebe
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