Abstract
The three-dimensional comer balance method is a new spatial discretization scheme for solving the transport equation on meshes consisting of "layers" of arbitrary polygonal meshes in the x-y plane. It is a conceptually and algebraically simple method based on particle balance over subcells known as "corners." We describe the development and implementation of this method into the code "SNAC" and analyze its behavior in the thick diffusion limit. We use simple numerical tests to verify that the new method produces the results predicted by physical symmetries and the two-dimensional corner balance method, which has been well tested. As a demonstration of the applicability of this method to geometrically complicated reactor problems, we developed models of the Advanced Neutron Source (ANS) reactor using an r-z version of the two-dimensional corner balance method and the new method. These results compared very well with each other and are presented here. Finally, future research plans are discussed.
Richardson, Rebecca Lynn (1994). A three dimensional corner balance method for spatial discretization of the transport equation. Master's thesis, Texas A&M University. Available electronically from
https : / /hdl .handle .net /1969 .1 /ETD -TAMU -1994 -THESIS -R5247.