ON THE EQUIVALENCE OF THE SPHERICAL HARMONICS METHOD AND THE DISCRETE ORDINATE METHOD USING GAUSS QUADRATURE FOR THE BOLTZMANN EQUATION
Technical Report
·
OSTI ID:4306059
The relationship of the spherical harmonics method and the discrete ordinate method using Gauss quadrature is explicitly demonstrated. It is found that, in general, the two methods are not equivalent, but that they are upon a suitable modification of the source and scattering kernel used in the discrete ordinate method. This modification consists of expanding the source and kernel in spherical harmonics and truncating at the appropriate term. Analogous results are obtained for the double spherical harmonics and double Gauss quadrature methods. (auth)
- Research Organization:
- Westinghouse Electric Corp. Bettis Plant, Pittsburgh
- DOE Contract Number:
- AT(11-1)-GEN-14
- NSA Number:
- NSA-12-016556
- OSTI ID:
- 4306059
- Report Number(s):
- WAPD-TM-118
- Country of Publication:
- United States
- Language:
- English
Similar Records
On the equivalence between the discrete ordinates and the spherical harmonics methods in radiative transfer
DISCRETE ORDINATE QUADRATURES FOR THIN SLAB CELLS
MOMENT METHOD FOR SOLUTION OF THE SCHWARZSCHILD-MILNE INTEGRAL EQUATION
Journal Article
·
Tue Sep 01 00:00:00 EDT 1998
· Nuclear Science and Engineering
·
OSTI ID:653462
DISCRETE ORDINATE QUADRATURES FOR THIN SLAB CELLS
Journal Article
·
Wed Oct 31 23:00:00 EST 1962
· Nuclear Science and Engineering (U.S.)
·
OSTI ID:4755943
MOMENT METHOD FOR SOLUTION OF THE SCHWARZSCHILD-MILNE INTEGRAL EQUATION
Journal Article
·
Tue Dec 31 23:00:00 EST 1963
· Astrophysical Journal (U.S.)
·
OSTI ID:4081948