A two-dimensional finite element multigroup diffusion theory for neutral atom transport in plasmas

Solution of the energy-dependent diffusion equation in two dimensions is formulated by multigroup approximation of the energy variable and general triangular mesh, finite element discretization of the spatial domain. Finite element formulation is done by Galerkin's method. Based on this formula...

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Bibliographic Details
Published in:Journal of computational physics 1987-08, Vol.71 (2), p.371-390
Main Authors: Hasan, Mohammad Z, Conn, Robert W
Format: Article
Language:English
Subjects:
Exact sciences and technology
Physics
Physics of gases, plasmas and electric discharges
Physics of plasmas and electric discharges
Plasma properties
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Summary:Solution of the energy-dependent diffusion equation in two dimensions is formulated by multigroup approximation of the energy variable and general triangular mesh, finite element discretization of the spatial domain. Finite element formulation is done by Galerkin's method. Based on this formulation, a two-dimensional multigroup finite element diffusion theory code, FENAT, has been developed for the transport of neutral atoms in fusion plasmas. FENAT solves the multigroup diffusion equation in X-Y cartesian and R-Z cylindrical/toroidal geometries. Use of the finite element method allows solution of problems in which the plasma cross section has an arbitrary shape. The accuracy of FENAT has been verified by comparing results to those obtained using the two-dimensional discrete ordinate transport theory code, DOT-4.3. Results of application of FENAT to the transport of limiter-originated neutral atoms in a tokamak fusion machine are presented.
ISSN:0021-9991
1090-2716
DOI:10.1016/0021-9991(87)90036-2