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The Application of the Symmetric SOR and the Symmetric SIP Methods for the Numerical Solution of the Neutron Diffusion Equation

H. H. Wang

Nuclear Science and Engineering

Volume 67 / Number 2 / August 1978 / Pages 162-171


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The symmetric successive overrelaxation (SSOR) method and the symmetric strongly implicit procedure (SSIP) method are applied to a number of two-dimensional elliptic partial differential equations typical of those encountered in reactor engineering. The SSIP method is then incorporated in a program for multigroup diffusion calculation to compute the inner iterations. The results of applying the program to the solution of several reactor configurations are compared with the results from a version of the PDQ code. For cell problems (with Neumann boundary condition), the new methods outperform the SOR method.

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