2026-06-29T08:01:02Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/455552023-09-07T20:36:21Zcom_20.500.14352_14col_20.500.14352_21
On a mathematical model arising in MHD perturbed equilibrium for Stellarator devices. A numerical approach
Padial Molina, Juan Francisco
Galan del Sastre, Pedro
Díaz Díaz, Jesús Ildefonso
519.8
Mathematical model
Grad–Safranov equaiton
equilibrium
rearrangement
fix point
Stellarator
Investigación operativa (Matemáticas)
1207 Investigación Operativa
The 2012 International Conference on High Performance Computing & Simulation(HPCS 2012)July 2 – 6, 2012
Madrid, Spain
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.
Unión Europea. FP7
UCM
DGISPI, Spain
MEC, Spain
Depto. de Análisis Matemático y Matemática Aplicada
Fac. de Ciencias Matemáticas
TRUE
pub
2023-06-20T05:46:44Z
2023-06-20T05:46:44Z
2012
book part
https://hdl.handle.net/20.500.14352/45555
XXXX-XXXX
10.1109/HPCSim.2012.6266984
eng
FIRST (238702)
Research Group MOMAT (Ref. 910480),
MTM2011-26119
CGL2007-66440-C04-01
restricted access
application/pdf
IEEE