2012
DOI: 10.1016/j.physc.2012.01.012
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3D modeling of forces between magnet and HTS in a levitation system using new approach of the control volume method based on an unstructured grid

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Cited by 22 publications
(14 citation statements)
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“…It is one of the numerical methods widely used in computation of heat and fluid dynamic problems [7]. Furthermore, this method has been applied successfully to a variety of electromagnetic problems [8][9][10][11]. It uses a support space mesh based on an unstructured grid (Fig.…”
Section: Calculation Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…It is one of the numerical methods widely used in computation of heat and fluid dynamic problems [7]. Furthermore, this method has been applied successfully to a variety of electromagnetic problems [8][9][10][11]. It uses a support space mesh based on an unstructured grid (Fig.…”
Section: Calculation Methodsmentioning
confidence: 99%
“…To calculate the flux in the lateral facets, the magnetic scalar potential V is expressed in referential (R') defined by (ξ,η) coordinates following the same procedure as in [11]. Using this transformation, we can express the derivative of the magnetic scalar potential in the referential (R).…”
Section: Adopted Approximationmentioning
confidence: 99%
“…PT and PB are respectively the top and bottom nodes of the control volume. The Laplacian in (1) is integrated over each 3D control volume following the same procedure as in [10]. The obtained algebraic system is solved iteratively by Gauss Seidel method.…”
Section: Magnetic Model and Calculation Methodsmentioning
confidence: 99%
“…They adopt the finite element method (FEM). However, FEM is prone to numerical oscillations and convergence problems, in particular, if the constitutive law given by a power law relation between the electric field and the current density is used [10], [11]. Different works have shown that numerical methods based on conservative approaches allow avoiding numerical oscillations [11]- [13].…”
Section: Introductionmentioning
confidence: 99%