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Fixed boundary Grad-Shafranov solver using finite difference method in nonhomogeneous meshgrid

Acceso Abierto
ID Minciencias: ART-0000510610-58
Ranking: ART-GC_ART

Abstract:

In this work we present a numerical scheme to solve the Grad-Shafranov equation which correspond to magnetohydrodynamic equilibrium equation for a two-dimensional plasma. A typical case are the toroidal plasma in magnetic confinement devices used in thermonuclear fusion well known as Tokamaks. The proposed numerical scheme is based on the finite-difference method in nonhomogeneous meshgrid, which is adjusted to the fixed plasma boundary with "D-shape". The solution of the Grad-Shafranov equation is obtained using the successive over-relaxation method, usually applied to solve Poisson equation's problems. The values of the total plasma current and pressure in the magnetic axis are conserved in each iteration of the convergence process. The scheme is validated by direct comparison with the analytical result obtained by Soloviev.

Tópico:

Magnetic confinement fusion research

Citaciones:

Citations: 2
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Información de la Fuente:

SCImago Journal & Country Rank
FuenteJournal of Physics Conference Series
Cuartil año de publicaciónNo disponible
Volumen1159
IssueNo disponible
Páginas012017 - 012017
pISSNNo disponible
ISSN1742-6596

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