The Fifth Conference “ Nuclear Science and Its Application”, 14-17 October 2008
FINITE VOLUME METHOD FOR NEUTRON DIFFUSION
S. ÇAVDARInstitute of Energy, Istanbul Technical University Maslak, Istanbul, 34469, Turkey
The Finite Volume Method (FVM) is a numerical method for solution of partial differential equation which works over a Voronoi tessellation of the domain rather than the regular grid required by the finite difference approaches. Also considering the fact that it satisfies conservation of certain physical quantities parameterized in the equations of concern, it has been successfully applied in computational fluid dynamics. The non-regular grid implied by the tessellation pose promising for the solutions of equations describing physical dynamics over a non-homogenous medium. In this work we present our results regarding application o f FVM to the solution of neutron diffusion equations in a homogeneous medium with BEM, FEM and FE/BE and then discuss benefits o f the aforementioned characteristics of the FVM for neutron diffusion problems.
