Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking

Raffaele Albanese; Andrea Gaetano Chiariello; Raffaele Fresa; Antonio Iaiunese; Raffaele Martone; Pasquale Zumbolo

LAPSE

Living Archive for Process Systems Engineering

LAPSE:2023.35506

Published Article

LAPSE:2023.35506

Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking

Raffaele Albanese, Andrea Gaetano Chiariello, Raffaele Fresa, Antonio Iaiunese, Raffaele Martone, Pasquale Zumbolo

May 2, 2023

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.

Record ID

LAPSE:2023.35506

Keywords

Chebyshev polynomials, field approximation, magnetic field tracking

Subject

Other

Suggested Citation

Albanese R, Chiariello AG, Fresa R, Iaiunese A, Martone R, Zumbolo P. Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking. (2023). LAPSE:2023.35506

Author Affiliations

Albanese R: DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy; Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy; DTT S.C. a r.l., Via E. Fermi 45, I-00044 Frasc [ORCID]
Chiariello AG: Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy; DI, Università degli Studi della Campania “L. Vanvitelli”, Via Roma, 29, I-81031 Aversa, Italy [ORCID]
Fresa R: Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy; DSI, Università degli Studi della Basilicata, Via dell’Ateneo Lucano 10, I-85100 Potenza, Italy
Iaiunese A: DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy
Martone R: Consorzio CREATE c/o, DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy; DTT S.C. a r.l., Via E. Fermi 45, I-00044 Frascati, Italy
Zumbolo P: DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy

Journal Name

Energies

Volume

15

Issue

20

First Page

7619

Year

2022

Publication Date

2022-10-15