Nonlinear acceleration methods for even-parity neutron transport
نویسندگان
چکیده
OF THESIS Submitted in Partial Fulfillment of the Requirements for the Degree of Master of Science
منابع مشابه
Multilevel NDA Methods for Solving Multigroup Eigenvalue Neutron Transport Problems
The nonlinear diffusion acceleration (NDA) method is an efficient and flexible transport iterative scheme for solving reactor-physics problems. This paper presents a fast iterative algorithm for solving multigroup neutron transport eigenvalue problems in one-dimensional slab geometry. The proposed method is defined by a multilevel system of equations that includes multigroup and effective onegr...
متن کاملAn investigation into the potential applicability of gel dosimeters for dosimetry in boron neutron capture therapy
Background: The aim of this work was to establish how well gel dosimeters performed, as substitutes for brain tissue compared with standard phantom materials such as water, polymethyl-methacrylate (or PMMA), A150 plastic and TE- liquid phantom material for dosimetry of neutron beams in boron neutron capture therapy. Materials and Methods: Thermal neutron fluence, photon dose and epithermal neu...
متن کاملNonlinear Diffusion Acceleration for the Multigroup Transport Equation Discretized with SN and Continuous FEM with Rattlesnake
Nonlinear diffusion acceleration (NDA) can improve the performance of a neutron transport solver significantly especially for the multigroup eigenvalue problems. The high-order transport equation and the transport-corrected low-order diffusion equation form a nonlinear system in NDA, which can be solved via a Picard iteration. The consistency of the correction of the low-order equation is impor...
متن کاملA Hybrid Approach to the Neutron Transport k-Eigenvalue Problem using NDA-based Algorithms
In order to provide more physically accurate solutions to the neutron transport equation it has become increasingly popular to use Monte Carlo simulation to model nuclear reactor dynamics. These Monte Carlo methods can be extremely expensive, so we turn to a class of methods known as hybrid methods, which combine known deterministic and stochastic techniques to solve the transport equation. In ...
متن کاملSpherical Harmonics Finite Element Solution of the Least-squares Neutron Transport Equation
To solve the neutron Boltzmann equation in anisotropic or void regions, one may use deterministic methods such as the discrete ordinates method or the even-parity approach. Both methods have shown numerous applications and developments in the last 30 years. Nevertheless both exhibit drawbacks in three-dimensions void regions that require special treatments, such as using characteristics method ...
متن کامل