Theory Manual

• 1. Background on the Linear Boltzmann Equation
  • 1.1. Definitions
  • 1.2. The Linear Boltzmann Equation
  • 1.3. Boundary Conditions
  • 1.4. Initial Conditions
  • 1.5. Expansion of the Angle Redistribution Term
  • 1.6. Short summary of Transport Equations Solved in OpenSn
  • 1.7. Streaming Term in Cartesian and Curvilinear Coordinate Systems
  • 1.8. References
• 2. Phase-space Discretization
  • 2.1. Energy Discretization
  • 2.2. Angle Discretization (the Sn method)
  • 2.3. Spatial Discretization
  • 2.4. References
• 3. Multigroup Cross-Section Data
• 4. Outcome of a Simulation: Particle Distribution, Reaction Rates, and Leakage Rates
• 5. Iterative Solution Algorithms
  • 5.1. Multigroup Solution Process: Background
  • 5.2. Source Iteration and Krylov Solvers
  • 5.3. Within-group Acceleration
  • 5.4. Thermal Upscattering Acceleration
  • 5.5. Power Iterations
  • 5.6. Acceleration of Power Iterations
  • 5.7. Coarse-Mesh Finite Difference Acceleration
  • 5.8. Uncollided-flux Treatment
  • 5.9. References
• 6. Parallel Sweeps
  • 6.1. Introduction
  • 6.2. Aggregation
  • 6.3. Partitioning and Scheduling
  • 6.4. References
• 7. Adjoint Flux Formalism