589
Views
0
CrossRef citations to date
0
Altmetric
Article

Sub-cell balanced nodal expansion methods using S4 eigenfunctions for multi-group SN transport problems in slab geometry

&
Pages 315-331 | Received 20 May 2014, Accepted 14 Jul 2014, Published online: 04 Sep 2014

Figures & data

Figure 1. Meshes, sub-cell divisions, and unknown variables.

Figure 1. Meshes, sub-cell divisions, and unknown variables.

Figure 2. Comparison of the L2-norms of errors versus mesh size.

Figure 2. Comparison of the L2-norms of errors versus mesh size.

Table 1. Cross sections (cm−1) for the two-group heterogeneous problem.

Figure 3. Configuration and sources of the two-group heterogeneous test problem.

Figure 3. Configuration and sources of the two-group heterogeneous test problem.

Table 2. Relative errors (%) of the region average scalar fluxes and the scalar fluxes at the right boundary.

Figure 4. Reference scalar flux distribution for the two-group heterogeneous test problem.

Figure 4. Reference scalar flux distribution for the two-group heterogeneous test problem.

Table 3. Multi-group cross sections (cm−1) for the four-group homogeneous test problem.

Figure 5. Configuration and sources of the four-group test problem.

Figure 5. Configuration and sources of the four-group test problem.

Table 4. Relative errors (%) of the region average fluxes and scalar fluxes at the right boundary for the four-group homogeneous test problem.

Figure 6. Reference scalar flux distributions for the four-group test problem.

Figure 6. Reference scalar flux distributions for the four-group test problem.

Table 5. Cross sections (cm−1) for the two-group eigenvalue problem.

Figure 7. Configuration of the two-group eigenvalue problem.

Figure 7. Configuration of the two-group eigenvalue problem.

Table 6. Comparison of the eigenvalues for the eigenvalue problem.

Table 7. Comparison of the relative percentage errors of the region-wise scalar fluxes.

Figure 8. Comparison of the scalar flux distributions for the two-group eigenvalue problem (Group 1).

Figure 8. Comparison of the scalar flux distributions for the two-group eigenvalue problem (Group 1).

Figure 9. Comparison of the scalar flux distributions for the two-group eigenvalue problem (Group 2).

Figure 9. Comparison of the scalar flux distributions for the two-group eigenvalue problem (Group 2).

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.