The explicitly-interfaced method and the response matrix method: Two methods for the solution of the transport equation

Conference · Thu Jan 01 04:00:00 EST 1987

OSTI ID:6175168

Rathkopf, J A; Lorence, L J; Martin, W R

The phase space finite element method when applied to the first order transport equation results in a matrix equation that can only be solved directly. While the direct solution procedure is competitive with more established transport methods for one-dimensional geometries, it is much too slow in two or more dimensions. This summary presents two alternative implementations of the finite element method. Both reduce the size of the matrix to be solved by dividing the spatial domain into smaller regions, and both realize increased efficiency in multi-dimensional applications. Following brief derivations of the methods, computational results for both one-dimensional and two-dimensional applications will be presented and compared for the two distinct approaches.

• Research Organization: Westinghouse Electric Corp., Pittsburgh, PA (USA). Nuclear Fuel Div.; Sandia National Labs., Albuquerque, NM (USA); Michigan Univ., Ann Arbor (USA). Dept. of Nuclear Engineering
• DOE Contract Number: AC04-76DP00789
• OSTI ID: 6175168
• Report Number(s): SAND-86-2364C; CONF-870424-2; ON: DE87001730
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
99 GENERAL AND MISCELLANEOUS
990230 -- Mathematics & Mathematical Models-- (1987-1989)
EQUATIONS
FINITE ELEMENT METHOD
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MATHEMATICAL SPACE
NUMERICAL SOLUTION
ONE-DIMENSIONAL CALCULATIONS
PHASE SPACE
REACTOR KINETICS EQUATIONS
RESPONSE MATRIX METHOD
SPACE
TRANSPORT THEORY
TWO-DIMENSIONAL CALCULATIONS