ADVANCED REACTOR THEORY
The neutron transport equation and its application to the analysis of nuclear reactors. Numerical solution methods, including the multi-group model, one-group equations, energy-averaged constants, discrete ordinates, and Monte Carlo methods. Perturbation theory and variational techniques for practical problems. Knowledge of Nuclear Reactor Theory [such as N E 405 ] required.
Prerequisites & course information
Requisites: Graduate/professional standing Course Designation: Grad 50% - Counts toward 50% graduate coursework requirement Repeatable for Credit: No Last Taught: Fall 2024 Learning Outcomes: 1. Derive and examine the Neutral Particle Transport Equation in the one- group and multi-group approximations Audience: Graduate 2. Apply the Spherical Harmonics expansion and explain how it leads to the Legendre Polynomial expansion in one-dimension. Examine the P1 approximation and it leads to Diffusion theory. Program the P1 and P3 approximations Audience: Graduate 3. Derive the Discrete Ordinates numerical approximation in one-dimensional slab coordinates, incorporate the boundary conditions and program the S2 and S8 discrete ordinates approximations. Work through the curvilinear Coordinates Audience: Graduate 4. Derive the Integral Neutral Particle Transport Equation. Examine the numerical methods for the solution of the discrete integral transport (IT) method and the collision probability (IT) method. Program an IT method Audience: Graduate 5. Derive and interpret the Adjoint Equation to the Transport Equation Audience: Graduate 6. Discuss and examine the direct integration method Audience: Graduate 7. Present a numerical IT method or write a multi-dimensional code based on a method examined and discussed in the course Audience: Graduate Learning Outcomes: 1. Derive and examine the Neutral Particle Transport Equation in the one- group and multi-group approximations Audience: Graduate 2. Apply the Spherical Harmonics expansion and explain how it leads to the Legendre Polynomial expansion in one-dimension. Examine the P1 approximation and it leads to Diffusion theory. Program the P1 and P3 approximations Audience: Graduate 3. Derive the Discrete Ordinates numerical approximation in one-dimensional slab coordinates, incorporate the boundary conditions and program the S2 and S8 discrete ordinates approximations. Work through the curvilinear Coordinates Audience: Graduate 4. Derive the Integral Neutral Particle Transport Equation. Examine the numerical methods for the solution of the discrete integral transport (IT) method and the collision probability (IT) method. Program an IT method Audience: Graduate 5. Derive and interpret the Adjoint Equation to the Transport Equation Audience: Graduate 6. Discuss and examine the direct integration method Audience: Graduate 7. Present a numerical IT method or write a multi-dimensional code based on a method examined and discussed in the course Audience: Graduate
Sources
- Course catalogue ↗2026-2027