A Fast Matrix Compression Method for Large Scale Numerical Modelling of Rotationally Symmetric 3D Passive Structures in Fusion Devices

Francesca Cau, Andrea Gaetano Chiariello, Guglielmo Rubinacci, Valentino Scalera, Antonello Tamburrino, Salvatore Ventre and Fabio Villone
Additional contact information
Francesca Cau: Fusion for Energy (F4E), Carrer de Josep Pla, 9, 08019 Barcelona, Spain
Andrea Gaetano Chiariello: CREATE, DI, Università degli Studi della Campania “Luigi Vanvitelli”, Via Roma, 28, 80125 Aversa, Italy
Guglielmo Rubinacci: CREATE, DIETI, Università degli Studi di Napoli Federico II, Via Claudio, 21, 80125 Napoli, Italy
Valentino Scalera: Engineering Department, University of Naples Parthenope, 80143 Napoli, Italy
Antonello Tamburrino: CREATE, DAEIMI, Università degli Studi di Cassino e del Lazio Meridionale, Via G. Di Biasio, 43, 03043 Cassino, Italy
Salvatore Ventre: CREATE, DAEIMI, Università degli Studi di Cassino e del Lazio Meridionale, Via G. Di Biasio, 43, 03043 Cassino, Italy
Fabio Villone: CREATE, DIETI, Università degli Studi di Napoli Federico II, Via Claudio, 21, 80125 Napoli, Italy

Energies, 2022, vol. 15, issue 9, 1-31

Abstract: This paper illustrates the development of a recursive QR technique for the analysis of transient events, such as disruptions or scenario evolution, in fusion devices with three-dimensional conducting structures using an integral eddy current formulation. An integral formulation involves the solution, at each time step, of a large full linear system. For this reason, a direct solution is impractical in terms of time and memory consumption. Moreover, typical fusion devices show a symmetric/periodic structure. This can be properly exploited when the plasma and other sources possess the same symmetry/periodicity of the structure. Indeed, in this case, the computation can be reduced to only a single sector of the overall structure. In this work the periodicity and the symmetries are merged in the recursive QR technique, exhibiting a huge decrease in the computational cost. Finally, the proposed technique is applied to a realistic large-scale problem related to the International Thermonuclear Experimental Reactor (ITER).

Keywords: plasma fusion; integral formulations; fast methods; eddy current; QR-MGS sparsification; H-matrix (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
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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