Augmented Weighted-Diamond Form of the Linear-Nodal Scheme for Cartesian Coordinate Systems
Open Access
- 1 February 1986
- journal article
- research article
- Published by Taylor & Francis in Nuclear Science and Engineering
- Vol. 92 (2) , 192-196
- https://doi.org/10.13182/nse86-a18165
Abstract
The equations of the high-order linear-nodal numerical scheme are cast in an augmented weighted-difference form for three-dimensional Cartesian nodes. The coupling exhibited by these equations indicates that this new algorithm is simpler and, hence, faster than previous nodal schemes of this degree of accuracy. A well-logging problem and a fast reactor problem are examined. The new scheme developed is compared with the classical linear-linear nodal scheme and the diamond-difference scheme. For the well-logging problem, it is found that the new scheme is both faster and simpler than the classical linear-linear nodal scheme while sacrificing little in accuracy. Even though the new scheme is more accurate than the diamond-difference scheme for the reactor problem, the results indicate that state-of-the-art acceleration methods are needed for nodal schemes.Keywords
This publication has 1 reference indexed in Scilit:
- Benchmark Calculations for a Sodium-Cooled Breeder Reactor by Two- and Three-Dimensional Diffusion MethodsNuclear Science and Engineering, 1977