Abstract
A new generalized simple Comer Balance transport method was developed in an attempt to produce accurate solutions to all one-dimensional transport problems. The method allows only one parameter, 0, to vary according to the values of the scattering ratio and the cell optical thickness. The new method was compared too commonly used methods including Diamond Differencing, standard Linear Discontinuous. and modified Linear Discontinuous. These methods were compared to the solutions resulting! from the new method for various problems. In most cases, the new method provided greater accuracv. Some problems with thick cells and moderate scattering ratios did. however, cause the new method to produce negative solutions in the presence of positive sources. The method provided extremely good accuracy in several regions: pureiv absorbing, highly scattering, and thin cells.
Eaton, Thomas Lance (1994). A generalized simple corner-balance transport method for 1-D problems. Master's thesis, Texas A&M University. Available electronically from
https : / /hdl .handle .net /1969 .1 /ETD -TAMU -1994 -THESIS -E145.