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Journal articles
Magnetic Equations with FreeFem++: the Grad-Shafranov Equation & the Current Hole
Abstract : FreeFem++ is a software for the numerical solution of partial differential equations. It is based on finite element method. The FreeFem++ platform aims at facilitating teaching and basic research through prototyping. For the moment this platform is restricted to the numerical simulations of problems which admit a variational formulation. Our goal in this work is to evaluate the FreeFem++ tool on basic magnetic equations arising in Fusion Plasma in the context of the ITER project. First we consider the Grad-Shafranov equation, which is derived from the static ideal MHD equations assuming axisymetry. Some of the properties of the equation and its analytical solutions are discussed. Second we discretize a reduced resistive MHD model which admits solutions of the Grad-Shafranov equation as stationary solutions. Then the physical stability of these stationary solutions is investigated through numerical experiments and the numerical stability of the algorithm is discussed.
Cited literature [1 references]
https://hal-univ-tln.archives-ouvertes.fr/hal-00976962
Contributor : Gloria Faccanoni Connect in order to contact the contributor
Submitted on : Wednesday, April 16, 2014 - 9:57:01 AM
Last modification on : Wednesday, November 17, 2021 - 12:26:56 PM
Long-term archiving on: : Monday, April 10, 2017 - 11:49:45 AM
Contributor : Gloria Faccanoni Connect in order to contact the contributor
Submitted on : Wednesday, April 16, 2014 - 9:57:01 AM
Last modification on : Wednesday, November 17, 2021 - 12:26:56 PM
Long-term archiving on: : Monday, April 10, 2017 - 11:49:45 AM
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