Projected discrete ordinates methods for numerical transport problems

Conference · Tue Jan 01 00:00:00 EST 1985

DOI:https://doi.org/10.13182/NSE86-A18163· OSTI ID:5919314

Larsen, 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 use of spatial discretizations to preserve stability, the PDO solutions remain stable and rapidly convergent with essentially arbitrary spatial discretizations. Numerical results are presented which illustrate the rapid convergence and the accuracy of solutions obtained using PDO methods with commonplace differencing methods.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• DOE Contract Number: W-7405-ENG-36
• OSTI ID: 5919314
• Report Number(s): LA-UR-84-3928; CONF-850411-5; ON: DE85005632
• Resource Relation: Journal Volume: 92; Journal Issue: 2; Conference: International meeting on advances in nuclear engineering computational methods, Knoxville, TN, USA, 9 Apr 1985; Other Information: Portions are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
TRANSPORT THEORY
NUMERICAL SOLUTION
DIFFERENTIAL EQUATIONS
DISCRETE ORDINATE METHOD
ITERATIVE METHODS
EQUATIONS
654001* - Radiation & Shielding Physics- Radiation Physics
Shielding Calculations & Experiments