A successive over-relaxation for slab geometry Simplified S{sub N} method with interface flux iteration
- Turkish Atomic Energy Authority, Ankara (Turkey)
A Successive Over-Relaxation scheme is proposed for speeding up the solution of one-group slab geometry transport problems using a Simplified S{sub N} method. The solution of the Simplified S{sub N} method that is completely free from all spatial truncation errors is based on the expansion of the angular flux in spherical-harmonics solutions. One way to obtain the (numerical) solution of the Simplified S{sub N} method is to use Interface Flux Iteration, which can be considered as the Gauss-Seidel relaxation scheme; the new information is immediately used in the calculations. To accelerate the convergence, an over relaxation parameter is employed in the solution algorithm. The over relaxation parameters for a number of cases depending on scattering ratios and mesh sizes are determined by Fourier analyzing infinite-medium Simplified S{sub 2} equations. Using such over relaxation parameters in the iterative scheme, a significant increase in the convergence of transport problems can be achieved for coarse spatial cells whose spatial widths are greater than one mean-free-path.
- OSTI ID:
- 459258
- Report Number(s):
- CONF-950420-; TRN: 97:007159
- Resource Relation:
- Conference: International conference on mathematics and computations, reactor physics, and environmental analyses, Portland, OR (United States), 30 Apr - 4 May 1995; Other Information: PBD: 1995; Related Information: Is Part Of Proceedings of the international conference on mathematics and computations, reactor physics, and environmental analyses. Volume 1 and 2; PB: 1629 p.
- Country of Publication:
- United States
- Language:
- English
Similar Records
A quadratic programming flux correction method for high-order DG discretizations of S transport
Comparisons of successive iteration and direct methods to solve finite element equations of aquifer contaminant transport