Vectorization for solving the neutron diffusion equation - some numerical experiments
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
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Related Subjects
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