Application of the topological sensitivity method to the reconstruction of plasma equilibrium domain in a tokamak

被引:0
|
作者
Abdelwahed, Mohamed [1 ]
Chorfi, Nejmeddine [1 ]
Hassine, Maatoug [2 ]
Kallel, Imen [2 ,3 ]
机构
[1] King Saud Univ, Dept Math, Coll Sci, Riyadh, Saudi Arabia
[2] Univ Monastir, Fac Sci Monastir, Dept Math, Monastir, Tunisia
[3] Northern Border Univ, Coll Sci, POB 1631, Dammam, Saudi Arabia
关键词
Elasticity system; Geometric inverse problem; Topological sensitivity analysis;
D O I
10.1186/s13661-021-01523-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The topological sensitivity method is an optimization technique used in different inverse problem solutions. In this work, we adapt this method to the identification of plasma domain in a Tokamak. An asymptotic expansion of a considered shape function is established and used to solve this inverse problem. Finally, a numerical algorithm is developed and tested in different configurations.
引用
收藏
页数:9
相关论文
共 50 条
  • [21] Bifurcations of axisymmetric plasma equilibrium in a tokamak
    Skovoroda, A. A.
    PLASMA PHYSICS REPORTS, 2016, 42 (05) : 514 - 522
  • [23] COMPUTATION OF MHD EQUILIBRIUM OF TOKAMAK PLASMA
    TAKEDA, T
    TOKUDA, S
    JOURNAL OF COMPUTATIONAL PHYSICS, 1991, 93 (01) : 1 - 107
  • [24] EXISTENCE AND CONTROL OF PLASMA EQUILIBRIUM IN A TOKAMAK
    BLUM, J
    GALLOUET, T
    SIMON, J
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1986, 17 (05) : 1158 - 1177
  • [25] Bifurcations of axisymmetric plasma equilibrium in a tokamak
    A. A. Skovoroda
    Plasma Physics Reports, 2016, 42 : 514 - 522
  • [26] Magnetic equilibrium reconstruction techniques for tokamak reactors
    Lazzaro, E
    DIAGNOSTICS FOR EXPERIMENTAL THERMONUCLEAR FUSION REACTORS, 1996, : 83 - 95
  • [27] Application of the topological sensitivity method to the detection of breast cancer
    Kahlaoui, Hamza
    Mansouri, Sabeur
    Bensalah, Mohamed
    IMA JOURNAL OF APPLIED MATHEMATICS, 2024,
  • [28] Real-time equilibrium reconstruction in a Tokamak
    Blum, Jacques
    Boulbe, Cedric
    Faugeras, Blaise
    BURNING PLASMA DIAGNOSTICS, 2008, 988 : 420 - 429
  • [29] The sensitivity of tokamak magnetohydrodynamics stability on the edge equilibrium
    Zheng, L. J.
    Kotschenreuther, M. T.
    Valanju, P.
    PHYSICS OF PLASMAS, 2017, 24 (10)
  • [30] Tokamak plasma equilibrium analysis based on the relaxation method with a specified magnetic axis
    Elahi, A. Salar
    Ghoranneviss, M.
    RADIATION EFFECTS AND DEFECTS IN SOLIDS, 2014, 169 (08): : 669 - 678