A Nodal Green’s Function Method for Multidimensional Neutron Diffusion Calculations
نویسندگان
چکیده
منابع مشابه
Space-time radial basis function collocation method for one-dimensional advection-diffusion problem
The parabolic partial differential equation arises in many application of technologies. In this paper, we propose an approximate method for solution of the heat and advection-diffusion equations using Laguerre-Gaussians radial basis functions (LG-RBFs). The results of numerical experiments are compared with the other radial basis functions and the results of other schemes to confirm the validit...
متن کاملA Jacobian-free Newton-krylov Iterative Scheme for Criticality Calculations Based on the Neutron Diffusion Equation
Newton-Krylov methods, primarily using the Jacobian-Free Newton-Krylov (JFNK) approximation, are examined as an alternative to the traditional power iteration method for the calculation of the fundamental eigenmode in reactor analysis applications based on diffusion theory. One JFNK approach can be considered an acceleration technique for the standard power iteration as it is “wrapped around” t...
متن کاملA Multidimensional Bisection Method for Minimizing Function over Simplex
A new method for minimization problem over simplex, as a generalization of a well-known in onedimensional optimization bisection method is proposed. The convergence of the method for class of strictly unimodal functions including class of strictly convex functions is proved. The computational results are presented for a set of test problems.
متن کاملThe flux integral method for multidimensional convection and diffusion
The jlux integral method is a procedure for constructing an explicit single-step forward-in-time conservative control-volume update of the unsteady multidimensional convection-d@usion equation. The convective-plusdifjiiveJlux at each face of a control-volume cell is estimated by integrating the transported variable and its face-normal derivative over the volume swept out by the convecting veloc...
متن کاملA modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions
Inanc, Feyzi, "A modular nodal method for solving the neutron transport equation using spherical harmonics in two dimensions " (1989). Retrospective Theses and Dissertations. Paper 9200. The most advanced technology has been used to photo graph and reproduce this manuscript from the microfilm master. UMI films the text directly from the original or copy submitted. Thus, some thesis and dissert...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Nuclear Science and Engineering
سال: 1980
ISSN: 0029-5639,1943-748X
DOI: 10.13182/nse80-a19452