Discrete ordinates with new quadrature sets and modified source conditions

Conference · Sun Jan 01 00:00:00 EST 1989 · Transactions of the American Nuclear Society; (USA)

OSTI ID:6504889

Ganguly, K

A major shortcoming of the discrete ordinates method with the Gauss-Legendre quadrature set is that when the number of secondaries per primary c and the order of approximation N are not too large, all the (N + 1)v (the flux being of the form exp({minus}x/v)) lie in ({minus}1,1). It is known, however, that the largest v{sub j} corresponding to the asymptotic flux is greater than unity. The Legendre polynomial used for obtaining the quadrature set is orthogonal with respect to weight unity in the range ({minus}1,1). However, the Case and Zweifel eigenfunctions derived from the exact solution of one-speed transport theory are orthogonal with respect to a complicated weight function w({mu}) and {mu} in the half-range and full-range cases, respectively. In this paper, the authors have used a set of orthogonal polynomials with respect to w ({mu}) to develop quadrature sets to be used in the discrete ordinates calculation.

• OSTI ID: 6504889
• Report Number(s): CONF-891103-; CODEN: TANSA; TRN: 90-034682
• Journal Information: Transactions of the American Nuclear Society; (USA), Vol. 60; Conference: Winter meeting of the American Nuclear Society (ANS) and nuclear power and technology exhibit, San Francisco, CA (USA), 26-30 Nov 1989; ISSN 0003-018X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
NEUTRON TRANSPORT THEORY
DISCRETE ORDINATE METHOD
ACCURACY
EIGENFUNCTIONS
GAUSS FUNCTION
LEGENDRE POLYNOMIALS
ORTHOGONAL TRANSFORMATIONS
QUADRATURES
FUNCTIONS
POLYNOMIALS
TRANSFORMATIONS
TRANSPORT THEORY
654003* - Radiation & Shielding Physics- Neutron Interactions with Matter