TY - JOUR

T1 - OPTIMAL CHOICE OF THE INITIAL FLUX FOR ITERATIVE SOLUTIONS OF THE INHOMOGENEOUS TRANSPORT EQUATION.

AU - Shalitin, D.

AU - Wagschal, J. J.

AU - Yeivin, Y.

PY - 1977

Y1 - 1977

N2 - The dependence of the number, N, of iterations necessary for the convergence of the one-group inhomogeneous transport equation, on the normalization, alpha of an initial flux proportional to the external source distribution, is studied. It is proven that if the initial flux has the correct psi //0 component, where psi //0 is the fundamental eigenfunction of the corresponding homogeneous equation, the number of iterations is significantly reduced. This minimum is already indicated by a heuristic neutron-balance argument, whereas the complete function N( alpha ) is derived by means of a rigorous analysis. Results of this analysis are illustrated by some numerical examples.

AB - The dependence of the number, N, of iterations necessary for the convergence of the one-group inhomogeneous transport equation, on the normalization, alpha of an initial flux proportional to the external source distribution, is studied. It is proven that if the initial flux has the correct psi //0 component, where psi //0 is the fundamental eigenfunction of the corresponding homogeneous equation, the number of iterations is significantly reduced. This minimum is already indicated by a heuristic neutron-balance argument, whereas the complete function N( alpha ) is derived by means of a rigorous analysis. Results of this analysis are illustrated by some numerical examples.

UR - http://www.scopus.com/inward/record.url?scp=0017473849&partnerID=8YFLogxK

U2 - 10.13182/NSE77-A26978

DO - 10.13182/NSE77-A26978

M3 - Article

AN - SCOPUS:0017473849

SN - 0029-5639

VL - 62

SP - 364

EP - 370

JO - Nuclear Science and Engineering

JF - Nuclear Science and Engineering

IS - 3

ER -