Vectorization for solving the neutron diffusion equation - some numerical experiments

Journal Article · Mon Feb 01 04:00:00 EST 1982 · Nucl. Sci. Eng.; (United States)

OSTI ID:5113092

Ishiguro, M; Koshi, Y

Parallel computations of the finite difference approximation to the neutron diffusion equation, especially for three-dimensional problems, are investigated in anticipation of the use of high-speed vector computers such as the CRAY-1. Several general methods of solution of the seven-point formula are numerically studied from the viewpoint of the feasibility of their simultaneous calculations on vector computers. The time required for diffusion calculations can be reduced by a factor of 3 through vectorizing the inner iteration by the multidimensional ADC code. It is found that a checkerboard ordering in the overrelaxation method and a recently developed modified SLOR method avoid the degradation of convergence in vector iterations compared with traditional SOR and SLOR.

• Research Organization: Japan Atomic Energy Research Institute, Tokai, Ibaraki
• OSTI ID: 5113092
• Journal Information: Nucl. Sci. Eng.; (United States), Journal Name: Nucl. Sci. Eng.; (United States) Vol. 80:2; ISSN NSENA
• Country of Publication: United States
• Language: English

Related Subjects

654003* -- Radiation & Shielding Physics-- Neutron Interactions with Matter
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
COMPUTER CALCULATIONS
COMPUTER CODES
COMPUTERS
CRAY COMPUTERS
DIFFERENTIAL EQUATIONS
EQUATIONS
FINITE DIFFERENCE METHOD
ITERATIVE METHODS
NEUTRON DIFFUSION EQUATION
NUMERICAL SOLUTION
PROGRAMMING
S CODES
THREE-DIMENSIONAL CALCULATIONS
VECTOR PROCESSING