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On a mathematical model arising in MHD perturbed equilibrium for Stellarator devices. A numerical approach

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Padial Molina, Juan Francisco and Galan del Sastre, Pedro and Díaz Díaz, Jesús Ildefonso (2012) On a mathematical model arising in MHD perturbed equilibrium for Stellarator devices. A numerical approach. In The International Conference on High Performance Computing & Simulation (HPCS 2012). IEEE, pp. 628-634. ISBN 978-1-4673-2359-8

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Abstract

We consider a mathematical model related to the stationary regime of a plasma of fusion nuclear, magnetically confined in a Stellarator device. Using the geometric properties of the fusion device, a suitable system of coordinates and averaging methods, the mathematical problem may be reduced to a two dimensional free boundary problem of nonlocal type, where the corresponding differential equation is of the Grad?Shafranov type. The current balance within each flux magnetic gives us the possibility to define the third covariant magnetic field component with respect to the averaged poloidal flux function. We present here some numerical experiences and we give some numerical approach for the averaged poloidal flux and for the third covariant magnetic field component.


Item Type:Book Section
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The 2012 International Conference on High Performance Computing & Simulation(HPCS 2012)July 2 – 6, 2012
Madrid, Spain

Uncontrolled Keywords:Mathematical model; Grad–Safranov equaiton; equilibrium; rearrangement; fix point; Stellarator
Subjects:Sciences > Mathematics > Operations research
ID Code:29554
Deposited On:14 Apr 2015 12:39
Last Modified:12 Dec 2018 15:07

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