Spatial Convergence Properties of the Diamond Difference Method in x,y Geometry
- 1 April 1982
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 80 (4) , 710-713
- https://doi.org/10.13182/nse82-a18980
Abstract
It is shown, for a model numerical experiment, that the diamond difference (DD) solution of the x,y geometry discrete ordinates equations, with a fixed angular quadrature set, converges in the norm with less than a second-order convergence rate as the spatial mesh is refined, and that the value of this convergence rate depends on the definition of the error norm. However, this same experiment suggests that numerical integrals of DD solution do converge with a secondorder convergence rate.Keywords
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