Projected discrete ordinates methods for numerical transport problems

Journal Article · Sat Feb 01 04:00:00 EST 1986 · Nucl. Sci. Eng.; (United States)

OSTI ID:6078132

Larson, E W

A class of ''projected discrete ordinates'' (PDO) methods is described for obtaining iterative solutions of discrete ordinates problems with convergence rates comparable to those observed using diffusion synthetic acceleration (DSA). The spatially discretized PDO solutions are generally not equal to the DSA solutions, but unlike DSA, which requires great care in the choice of spatial discretizations to preserve stability, the PDO solutions remain stable and rapidly convergent with essentially arbitrary spatial discretizations. Numerical results are presented that illustrate the rapid convergence and the accuracy of solutions obtained using PDO methods with commonplace differencing methods.

• Research Organization: Univ. of California, Los Alamos National Lab., Los Alamos, NM 87545
• OSTI ID: 6078132
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 92:2; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

22 GENERAL STUDIES OF NUCLEAR REACTORS
220100* -- Nuclear Reactor Technology-- Theory & Calculation
ACCURACY
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
EQUATIONS
ITERATIVE METHODS
NEUTRON DIFFUSION EQUATION
NEUTRON TRANSPORT THEORY
NUMERICAL SOLUTION
STABILITY
TRANSPORT THEORY