NEA-1826 SOLTRAN.
SOLTRAN, solving multi-dimensional simplified P2 transport and diffusion problems of hexagonal geometry in fast reactors
NAME OR DESIGNATION OF PROGRAM, COMPUTER, DESCRIPTION OF PROGRAM OR FUNCTION, METHODS, RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM, TYPICAL RUNNING TIME, STATUS, REFERENCES, HARDWARE REQUIREMENTS, LANGUAGE, SOFTWARE REQUIREMENTS, NAME AND ESTABLISHMENT OF AUTHORS, MATERIAL, CATEGORIES
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| Program name | Package id | Status | Status date |
|---|---|---|---|
| SOLTRAN | NEA-1826/01 | Tested | 19-SEP-2008 |
Machines used:
| Package ID | Orig. computer | Test computer |
|---|---|---|
| NEA-1826/01 | PC Windows | PC Windows |
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4. METHODS
The nodal SP2 equations are formulated with minimum modifications of the nodal diffusion equation by introducing the SP2 constant and flux. The response matrix equations that are the final forms of the nodal equations involve the spatial flux moments, the surface-averaged flux, the surface-averaged partial current, and the surface averaged sources, where the last terms are used in the SP2 option only. These equations are solved using a fission source iteration with red-black and coarse-mesh rebalancing acceleration.
The nodal SP2 equations are formulated with minimum modifications of the nodal diffusion equation by introducing the SP2 constant and flux. The response matrix equations that are the final forms of the nodal equations involve the spatial flux moments, the surface-averaged flux, the surface-averaged partial current, and the surface averaged sources, where the last terms are used in the SP2 option only. These equations are solved using a fission source iteration with red-black and coarse-mesh rebalancing acceleration.
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5. RESTRICTIONS ON THE COMPLEXITY OF THE PROBLEM
Because the SP2 and diffusion equations can be considered as an asymptotic approximation of a transport equation in optically thick regions, relatively larger errors occur in the regions with long diffusion lengths. But the magnitudes of the errors of the SP2 nodal are smaller than those of the diffusion nodal.
Because the SP2 and diffusion equations can be considered as an asymptotic approximation of a transport equation in optically thick regions, relatively larger errors occur in the regions with long diffusion lengths. But the magnitudes of the errors of the SP2 nodal are smaller than those of the diffusion nodal.
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6. TYPICAL RUNNING TIME
A three dimensional SNR benchmark problem which is included as a test case required 35 CPU seconds on a PC with Pentium-II processor and 4 CPU seconds on a PC with Intel Core 2 processor.
A three dimensional SNR benchmark problem which is included as a test case required 35 CPU seconds on a PC with Pentium-II processor and 4 CPU seconds on a PC with Intel Core 2 processor.
NEA-1826/01
At the NEADB, the test case ran in 5.86 sec.[ top ]
10. REFERENCES
- E. W. Larsen, 'Asymptotic Derivation of the Multigroup P1 and SPN Equations,' Trans. Am. Nucl. Soc., 69, 209(1993)
- W. S. Yang, 'Response Matrix Properties and Convergence Implications for an Interface-Current Nodal Formulation,' Nucl. Sci. Eng., 121, 416(1995)
- R. D. Lawrence, 'The DIF3D Nodal Neutronics Option for Two- and Three-Dimensional Diffusion Theory Calculation in Hexagonal Geometry,' ANL-83-1, Argonne National Laboratory (March, 1983)
- E. M. Gelbard, 'Application of Spherical harmonics Method to Reactor Problems,' WAPD-BT-20 (1960)
- E. W. Larsen, 'Asymptotic Derivation of the Multigroup P1 and SPN Equations,' Trans. Am. Nucl. Soc., 69, 209(1993)
- W. S. Yang, 'Response Matrix Properties and Convergence Implications for an Interface-Current Nodal Formulation,' Nucl. Sci. Eng., 121, 416(1995)
- R. D. Lawrence, 'The DIF3D Nodal Neutronics Option for Two- and Three-Dimensional Diffusion Theory Calculation in Hexagonal Geometry,' ANL-83-1, Argonne National Laboratory (March, 1983)
- E. M. Gelbard, 'Application of Spherical harmonics Method to Reactor Problems,' WAPD-BT-20 (1960)
NEA-1826/01, included references:
- Yeong-il Kim, Taek Kyum Kim, Young-Jin Kim:User's Manual for SOLTRAN (Version 1.0) - A Code for Solving Multi-Dimensional
Simplified P2 Transport Theory Problems in a Hexagonal Geometry (January 2000)
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Keywords: diffusion, eigenvalues, fast reactors, hexagonal configuration, multi-dimensional, multigroup, steady-state conditions, three-dimensional.