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Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking

Author

Listed:
  • Raffaele Albanese

    (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 Frascati, Italy)

  • Andrea Gaetano Chiariello

    (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)

  • Raffaele Fresa

    (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)

  • 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
    DTT S.C. a r.l., Via E. Fermi 45, I-00044 Frascati, Italy)

  • Pasquale Zumbolo

    (DIETI, Università degli Studi di Napoli Federico II, Via Claudio 21, I-80125 Napoli, Italy)

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.

Suggested Citation

  • Raffaele Albanese & Andrea Gaetano Chiariello & Raffaele Fresa & Antonio Iaiunese & Raffaele Martone & Pasquale Zumbolo, 2022. "Effectiveness of the Chebyshev Approximation in Magnetic Field Line Tracking," Energies, MDPI, vol. 15(20), pages 1-13, October.
    • Handle: RePEc:gam:jeners:v:15:y:2022:i:20:p:7619-:d:943203
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    References listed on IDEAS

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    1. Antonio Castaldo & Raffaele Albanese & Roberto Ambrosino & Flavio Crisanti, 2022. "Plasma Scenarios for the DTT Tokamak with Optimized Poloidal Field Coil Current Waveforms," Energies, MDPI, vol. 15(5), pages 1-14, February.
    2. Francesca Cau & Andrea Gaetano Chiariello & Guglielmo Rubinacci & Valentino Scalera & Antonello Tamburrino & Salvatore Ventre & Fabio Villone, 2022. "A Fast Matrix Compression Method for Large Scale Numerical Modelling of Rotationally Symmetric 3D Passive Structures in Fusion Devices," Energies, MDPI, vol. 15(9), pages 1-31, April.
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