TY - GEN

T1 - Applications of convergence acceleration to particle transport in spherical geometry

AU - Picca, Paolo

AU - Ganapol, Barry D.

AU - Furfaro, Roberto

N1 - Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.

PY - 2008

Y1 - 2008

N2 - The Boltzmann equation in 1D spherical geometry presents features that are generally encountered in the solution of particle transport in curvilinear geometry. The present paper describes a possible method to obtain highly accurate results by progressively building the solution from lower-order intermediate discretization schemes. Results prove the efficiency of this approach in terms of reduction of inner iterations and computational time. The concept of convergence acceleration can be suitably introduced into the algorithm to improve its performance and to speed up the inner iteration cycle. Finally, the application of extrapolation to the sequence of partial solutions is applied to seek the mesh-independent limiting solution. Several results, for both source and critical problems, are reported and compared to established benchmarks.

AB - The Boltzmann equation in 1D spherical geometry presents features that are generally encountered in the solution of particle transport in curvilinear geometry. The present paper describes a possible method to obtain highly accurate results by progressively building the solution from lower-order intermediate discretization schemes. Results prove the efficiency of this approach in terms of reduction of inner iterations and computational time. The concept of convergence acceleration can be suitably introduced into the algorithm to improve its performance and to speed up the inner iteration cycle. Finally, the application of extrapolation to the sequence of partial solutions is applied to seek the mesh-independent limiting solution. Several results, for both source and critical problems, are reported and compared to established benchmarks.

UR - http://www.scopus.com/inward/record.url?scp=79953848773&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79953848773&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:79953848773

SN - 9781617821219

T3 - International Conference on the Physics of Reactors 2008, PHYSOR 08

SP - 660

EP - 668

BT - International Conference on the Physics of Reactors 2008, PHYSOR 08

PB - Paul Scherrer Institut

T2 - International Conference on the Physics of Reactors 2008, PHYSOR 08

Y2 - 14 September 2008 through 19 September 2008

ER -