Resonance Self-Shielding Calculation Methods in Nuclear Reactors presents the latest progress in resonance self-shielding methods for both deterministic and Mote Carlo methods, including key advances over the last decade such as high-fidelity resonance treatment, resonance interference effect and multi-group equivalence. As the demand for high-fidelity resonance self-shielding treatment is increasing due to the rapid development of advanced nuclear reactor concepts and progression in high performance computational technologies, this practical book guides students and professionals in nuclear engineering and technology through various methods with proven high precision and efficiency.
1. Chapter 1 Introduction - p. 1 2. Chapter 2 Resonance cross-section processing - p. 17 3. 2.1: Evaluated nuclear data library - p. 17 4. 2.2: Resonance reconstruction - p. 20 5. 2.3: Doppler broadening - p. 30 6. 2.4: Unresolved resonance treatment - p. 35 7. 2.5: Resonance integral table - p. 40 8. 2.6: Resonance elastic scattering - p. 42 9. 2.7: Goldstein-Cohen factor - p. 59 10. Chapter 3 Equivalence theory method - p. 63 11. 3.1: Approximate spectrum of homogeneous systems - p. 63 12. 3.2: Approximate spectrum of heterogeneous systems - p. 71 13. 3.3: The establishment of classical equivalence theory - p. 75 14. 3.4: The calculation of the effective cross-section - p. 85 15. 3.5: Equivalence theory of lattice systems - p. 90 16. 3.6: Discrepancy analysis - p. 103 17. Chapter 4 Subgroup method - p. 121 18. 4.1: Introduction - p. 121 19. 4.2: Methodology of subgroup method - p. 122 20. 4.3: Practical application of subgroup method - p. 145 21. 4.4: Improvements of subgroup method - p. 156 22. Chapter 5 Ultrafine group method - p. 165 23. Chapter 6 Wavelet expansion method - p. 195 24. Chapter 7 Resonance treatment in Monte Carlo method - p. 233 25. Chapter 8 High-fidelity resonance self-shielding calculation - p. 261 26. 8.1: Overview - p. 261 27. 8.2: Continuous-energy quasi-one-dimensional slowing-down based method - p. 262 28. 8.3: Pin-based pointwise energy slowing-down method - p. 267 29. 8.4: Global-local self-shielding calculation scheme - p. 275 30. Chapter 9 Resonance treatment for double heterogeneity - p. 331 31. 9.1: Chord length sampling for stochastic media - p. 331 32. 9.2: The analytical dancoff factor approach - p. 335 33. 9.3: The disadvantage factor approach - p. 340 34. 9.4: The Sanchez-Pomraning approach - p. 356 35. Index - p. 391
Resonance Self-Shielding Calculation Methods in Nuclear Reactors presents the latest progress in resonance self-shielding methods for both deterministic and Mote Carlo methods, including key advances over the last decade such as high-fidelity resonance treatment, resonance interference effect and multi-group equivalence. As the demand for high-fidelity resonance self-shielding treatment is increasing due to the rapid development of advanced nuclear reactor concepts and progression in high performance computational technologies, this practical book guides students and professionals in nuclear engineering and technology through various methods with proven high precision and efficiency.
1. Chapter 1 Introduction - p. 1 2. Chapter 2 Resonance cross-section processing - p. 17 3. 2.1: Evaluated nuclear data library - p. 17 4. 2.2: Resonance reconstruction - p. 20 5. 2.3: Doppler broadening - p. 30 6. 2.4: Unresolved resonance treatment - p. 35 7. 2.5: Resonance integral table - p. 40 8. 2.6: Resonance elastic scattering - p. 42 9. 2.7: Goldstein-Cohen factor - p. 59 10. Chapter 3 Equivalence theory method - p. 63 11. 3.1: Approximate spectrum of homogeneous systems - p. 63 12. 3.2: Approximate spectrum of heterogeneous systems - p. 71 13. 3.3: The establishment of classical equivalence theory - p. 75 14. 3.4: The calculation of the effective cross-section - p. 85 15. 3.5: Equivalence theory of lattice systems - p. 90 16. 3.6: Discrepancy analysis - p. 103 17. Chapter 4 Subgroup method - p. 121 18. 4.1: Introduction - p. 121 19. 4.2: Methodology of subgroup method - p. 122 20. 4.3: Practical application of subgroup method - p. 145 21. 4.4: Improvements of subgroup method - p. 156 22. Chapter 5 Ultrafine group method - p. 165 23. Chapter 6 Wavelet expansion method - p. 195 24. Chapter 7 Resonance treatment in Monte Carlo method - p. 233 25. Chapter 8 High-fidelity resonance self-shielding calculation - p. 261 26. 8.1: Overview - p. 261 27. 8.2: Continuous-energy quasi-one-dimensional slowing-down based method - p. 262 28. 8.3: Pin-based pointwise energy slowing-down method - p. 267 29. 8.4: Global-local self-shielding calculation scheme - p. 275 30. Chapter 9 Resonance treatment for double heterogeneity - p. 331 31. 9.1: Chord length sampling for stochastic media - p. 331 32. 9.2: The analytical dancoff factor approach - p. 335 33. 9.3: The disadvantage factor approach - p. 340 34. 9.4: The Sanchez-Pomraning approach - p. 356 35. Index - p. 391