scholarly journals A Perturbation Finite Element Approach for Correcting Inaccuracies on Thin Shell Models with the Magnetic Field Formulation

2020 ◽  
Vol 5 (3) ◽  
pp. 166-170 ◽  
Author(s):  
Vuong Dang Quoc ◽  
Quang Nguyen Duc
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Thin Shell ◽  
Finite Element Approach ◽  
Shell Models ◽  
Element Approach ◽  
The Magnetic Field

scholarly journals Thin-shell approach for modeling superconducting tapes in the H-Φ finite-element formulation

2021 ◽  
Author(s):  
Bruno de Sousa Alves ◽  
Valtteri Lahtinen ◽  
Marc Laforest ◽  
Frederic Sirois
Keyword(s):  
Magnetic Field ◽  
Finite Element ◽  
Thin Shell ◽  
Large Scale ◽  
Computational Cost ◽  
Coated Conductors ◽  
Element Formulation ◽  
Electromagnetic Modeling ◽  
Superconducting Tapes ◽  
The Magnetic Field

Abstract This paper presents a novel finite-element approach for the electromagnetic modeling of superconducting coated conductors with transport currents. We combine a thin-shell (TS) method to the H-Φ formulation to avoid the meshing difficulties related to the high aspect ratio of these conductors and reduce the computational burden in simulations. The interface boundary conditions in the TS method are defined using an auxiliary 1-D finite-element (FE) discretization of N elements along the thinnest dimension of the conductor. This procedure permits the approximation of the superconductor's nonlinearities inside the TS in a time-transient analysis. Four application examples of increasing complexity are discussed: (i) single coated conductor, (ii) two closely packed conductors carrying anti-parallel currents, (iii) a stack of twenty superconducting tapes and a (iv) full representation of a HTS tape comprising a stack of thin films. In all these examples, the profiles of both the tangential and normal components of the magnetic field show good agreement with a reference solution obtained with standard black2-D H-Φ formulation. Results are also compared with the widely used T-A formulation. This formulation is shown to be dual to the TS model with a single FE (N=1) in the auxiliary 1-D systems. The increase of N in the TS model is shown to be advantageous at small inter-tape separation and low transport current since it allows the tangential components of the magnetic field to penetrate the thin region. The reduction in computational cost without compromising accuracy makes the proposed model promising for the simulation of large-scale superconducting applications.

A Finite Element Approach to the Transient Dynamics of Rolling Tires with Emphasis on Rolling Noise Simulation4

2007 ◽  
Vol 35 (3) ◽  
pp. 165-182 ◽  
Author(s):  
Maik Brinkmeier ◽  
Udo Nackenhorst ◽  
Heiner Volk
Keyword(s):  
Finite Element ◽  
Traffic Noise ◽  
Complex Eigenvalue ◽  
Arbitrary Lagrangian Eulerian ◽  
Finite Element Approach ◽  
Road Systems ◽  
Element Approach ◽  
Road Surface Roughness ◽  
Complex Eigenvalue Analysis ◽  
Rolling Noise

Abstract The sound radiating from rolling tires is the most important source of traffic noise in urban regions. In this contribution a detailed finite element approach for the dynamics of tire/road systems is presented with emphasis on rolling noise prediction. The analysis is split into sequential steps, namely, the nonlinear analysis of the stationary rolling problem within an arbitrary Lagrangian Eulerian framework, and a subsequent analysis of the transient dynamic response due to the excitation caused by road surface roughness. Here, a modal superposition approach is employed using complex eigenvalue analysis. Finally, the sound radiation analysis of the rolling tire/road system is performed.

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