Theory

The theory section contains an up-to-date overview of the derivation of the implemented model. This derivation is reproduced from [1].

[1]

Bogaarts, T. J. (2026). Differentiable deterministic neutronics for fusion design. PhD Thesis, Eindhoven University of Technology.

Theory Contents:

• Neutron transport
  • Assumptions
  • Neutron transport equation
• Linear Systems and Differentation
  • Differentation
  • Conclusion
  • VJP and JVP
• Multigroup discretisation
• Angular discretisation
• Spatial Discretisation
  • Sweep Preconditioning
• Complete Discretisation
• Transposition
  • \(\mathbf{M}\) operator
  • \(\mathbf{D}\) operator
  • \(\mathbf{H}\) operator
  • \(\mathbf{S}\) operator
  • \(\mathbf{T}^{-1}\) operator
• Downscattering
• Simplex simplification
• FW-CADIS