Sequential and Parallel Resolution of the Two-Group Transient Neutron Diffusion Equation using Second-Order Iterative Methods
Omar Flores-Sanchéz (Universidad Politecnica de Valencia)Vicente Vidal Gimeno (Universidad Politecnica de Valencia)
Victor Garcia Molla (Universidad Politecnica de Valencia)
Pedro Flores-Sanchéz (Telebachillerato El Recreo)
Abstract:
We present an experimental study of two versions of a second-degree iterative method applied to the resolution of the sparse linear systems related to the 3D multi-group time-dependent Neutron Diffusion Equation (TNDE), which is important for studies of stability and security of nuclear reactors. In addition, the second-degree iterative methods have been combined with an adaptable technique, in order to improve their convergence and accuracy. The authors consider that second-degree iterative methods can be applied and extended to the study of transient analysis with more than two energy groups and they might represent a saving in spatial cost for nuclear core simulations. These methods have been coded in PETSc [1][2][3].
[1] Balay S., Gropp W.D., McInnes L.C., Smith B.F.: PETSc home page http://www.mcs.anl.gov/petsc (2002)
[2] Balay S., Gropp W.D., McInnes L.C., Smith B.F.: PETSc Users Manual. ANL-95/11 - Revision 2.1.5, Argonne National Laboratory (1997)
[3] Balay S., Gropp W.D., McInnes L.C., Smith B.F.: Efficient Management of Parallelism in Object Oriented Numerical Software Libraries. Modern Software Tools in Scientific Computing (1997) 163-202
Keywords:
Large Scale Simulations in all areas of Engineering and Science, Numerical Methods (Linear algebra), Parallel and Distributed Computing
