Improved Transport Discretization Methods for a Two Dimensional Cylindrical Geometry
Abstract
The purpose of this research is to provide discrete ordinates transport discretization methods for RZ geometry that have second order truncation error for the problems that have smooth solutions,
accurate solution for thick diffusive problems, solution with excellent spherical symmetry for spherical problems, and that are applicable for arbitrary polygonal spatial cells. We propose spatial and angular discretization methods.
We developed a Corner Balance method that uses averaged angular fluxes for each corner of a cell. We also introduced two new angle derivative treatments and applied them to the averaged Corner Balance. We tested various combinations of these methods where we used the Galerkin PWLD and CB-PWLD as references to show that the new methods improve the properties we seek.
Citation
Boutros, Clara (2021). Improved Transport Discretization Methods for a Two Dimensional Cylindrical Geometry. Master's thesis, Texas A&M University. Available electronically from https : / /hdl .handle .net /1969 .1 /195101.