High Performance Preconditioning Techniques for the Solution of two-group transient Neutron Diffusion Equation
Omar Flores (Tuxtepec Institute of Technology)Vicente Vidal (Politechnical University of Valencia)
L.A. Drummond (Lawrence Berkeley National Laboratory)
Gumersindo Verdú (Departamento de Química e Ingeniería Nuclear)
Abstract:
We evaluate the performance of preconditioned Second-Order degree iterative methods for the solution of large-sparse linear systems of equations related to the 3D multi-group time-dependent Neutron Diffusion Equation. Efficient solutions to these problems are important
for studies of stability and security of nuclear reactors. For this, first we present the results of a
comparison among preconditioners available in that are more appropriated for our problem. Secondly, they are compared against results obtained from preconditioners
available in the \emph{PETSc} library. Our test examples are based on the commercial nuclear reactor of Leibstadt.
Keywords:
Parallel and Distributed Computing, Cluster Computing, Numerical Algorithms for CS&E,
