Galerkin method for numerically solving the energy-dependent neutron transport equation

Thesis/Dissertation · Fri Dec 31 23:00:00 EST 1982

OSTI ID:6295835

Allen, E J

In the present investigation, Galerkin's method is applied to the first-order form of the steady-state energy-dependent neutron transport equation. The energy variable is treated separately from the direction and position variables yielding a set of multigroup equations which are a generalization of the standard multigroup equations. Numerical examples indicate greater accuracy is obtained using these generalized multigroup equations than using the standard multigroup equations. In addition, an error analysis is performed in which the energy variable is considered separately from the direction and position variables. This method is applied to the one-dimensional plane, spherical, and cylindrical multigroup transport equations. Expansion functions and numerical integration rules are selected so that the inner products resulting in Galerkin's method are evaluated exactly and so that the flux density approximation is a continuous piecewise polynomial with respect to the position variable.

• Research Organization: Tennessee Univ., Knoxville (USA)
• OSTI ID: 6295835
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CONFIGURATION
CYLINDRICAL CONFIGURATION
ENERGY DEPENDENCE
MULTIGROUP THEORY
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
RECTANGULAR CONFIGURATION
SPHERICAL CONFIGURATION
TRANSPORT THEORY