Close Search Advanced
Journals
Resources
About Us
Open Access

A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem

A Coupled FEM-BEM Approach for the Solution of the Free-Boundary Axi-Symmetric Plasma Equilibrium Problem
Preview
Add to basket

Year:    2022

Author:    M. Bonotto, D. Abate, P. Bettini, F. Villone

Communications in Computational Physics, Vol. 31 (2022), Iss. 1 : pp. 27–59

Abstract

In this paper we present a coupled Finite Element Method – Boundary Element Method (FEM-BEM) approach for the solution of the free-boundary axi-symmetric plasma equilibrium problem. The proposed method, obtained from an improvement of the Hagenow-Lackner coupling method, allows to efficiently model the equilibrium problem in unbounded domains by discretizing only the plasma region; the external conductors can be modelled either as 2D or 3D models, according to the problem of interest. The paper explores different iterative methods for the solution of the nonlinear Grad-Shafranov equation, such as Picard, Newton-Raphson and Newton-Krylov, in order to provide a robust and reliable tool, able to handle large-scale problems (e.g. high resolution equilibria). This method has been implemented in the FRIDA code (FRee-boundary Integro-Differential Axisimmetric – https://github. om/matteobonotto/ FRIDA), together with a suitable Adaptive Integration Technique (AIT) for the computation of the source term. FRIDA has been successfully tested and validated against experimental data from RFX-mod device, and numerical equilibria of an ITER-like device.

Submit Article

You do not have full access to this article.

Already a Subscriber? Sign in as an individual or via your institution

Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2021-0062

Communications in Computational Physics, Vol. 31 (2022), Iss. 1 : pp. 27–59

Published online:    2022-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    33

Keywords:    FEM-BEM MHD plasma equilibrium Grad-Shafranov equation.

Author Details

M. Bonotto

D. Abate

P. Bettini

F. Villone

  1. Sensitivity analysis of low-order plasma moments reconstruction for RFX-mod2 tokamak operations

    Abate, D. | Bonotto, M. | Bettini, P.

    Fusion Engineering and Design, Vol. 182 (2022), Iss. P.113243

    https://doi.org/10.1016/j.fusengdes.2022.113243 [Citations: 1]

  2. ARES: a fast and accurate tool for the identification of plasma stationary points and separatrix

    Bonotto, M. | Bettini, P.

    Nuclear Fusion, Vol. 62 (2022), Iss. 7 P.076035

    https://doi.org/10.1088/1741-4326/ac66f0 [Citations: 1]

  3. Efficient Numerical Solution of Coupled Axisymmetric Plasma Equilibrium and Eddy Current Problems

    Bonotto, Matteo | Abate, Domenico | Bettini, Paolo | Iaiunese, Antonio | Isernia, Nicola | Villone, Fabio

    IEEE Access, Vol. 11 (2023), Iss. P.27489

    https://doi.org/10.1109/ACCESS.2023.3253380 [Citations: 1]

  4. Design and Analysis of Halo Current Diagnostic for RFX-mod2

    Bonotto, Matteo | Cavazzana, Roberto | Abate, Domenico | Aprile, Daniele | Berton, Giovanni

    IEEE Transactions on Plasma Science, Vol. 50 (2022), Iss. 11 P.4096

    https://doi.org/10.1109/TPS.2022.3176021 [Citations: 4]

  5. Reconstruction of plasma equilibrium and separatrix using convolutional physics-informed neural operator

    Bonotto, Matteo | Abate, Domenico | Pigatto, Leonardo

    Fusion Engineering and Design, Vol. 200 (2024), Iss. P.114193

    https://doi.org/10.1016/j.fusengdes.2024.114193 [Citations: 2]

  6. Positive and negative triangularity in RFX-mod2: a comparative analysis

    Predebon, I. | Abate, D. | Pigatto, L.

    Nuclear Fusion, Vol. 62 (2022), Iss. 6 P.066039

    https://doi.org/10.1088/1741-4326/ac54ce [Citations: 3]