Doddy Kastanya, PhD Candidate, NCSU, Department
of Nuclear Engineering
``A Newton-BICGSTAB Solver in the FORMOSA-B Code"
Abstract:
A Newton-BICGSTAB solver has been developed
to reduce the CPU execution time of BWR core simulators. The new solver
treats the strong non-linearities in the problem explicitly using
Newton's method, replacing the traditionally used nested iterative
approach. Taking advantage of the higher convergence rate provided
by Newton's method and utilizing an efficient preconditioned BICGSTAB
solver to solve the linearized system of equations within each Newton
iteration, we have developed a computationally efficient Newton-BICGSTAB
solver to evaluate the three-dimensional, two-group neutron diffusion
equations coupled with a two-phase flow model within the BWR core
simulator part of the FORMOSA-B code.