Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking

Raffaele Albanese, Andrea Gaetano Chiariello (), Raffaele Fresa, Antonio Iaiunese, Raffaele Martone and Pasquale Zumbolo
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Raffaele Albanese: DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy
Andrea Gaetano Chiariello: Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy
Raffaele Fresa: Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy
Antonio Iaiunese: DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy
Raffaele Martone: Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy
Pasquale Zumbolo: DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy

Energies, 2022, vol. 15, issue 20, 1-13

Abstract: The tracking of magnetic field lines can be very expensive, in terms of computational burden, when the field sources are numerous and have complex geometries, especially when accuracy is a priority, because an evaluation of the field is required in many situations. In some important applications, the computational cost can be significantly reduced by using a suitable approximation of the field in the integrated regions. This paper shows how Chebyshev polynomials are well-suited for field interpolation in magnetic field-line tracking, then discusses the conditions in which they are most appropriate, and quantifies the effectiveness of parallel computing in the approximation procedures.

Keywords: magnetic field tracking; field approximation; Chebyshev polynomials (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2022
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