Neutron Transport — linear Boltzmann equation L1-354

Nuclear EngineeringDiscrete-ordinates / SN neutron transportδ=10 · hardL_DAG = 3.8📋 Stub — not mineable

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Unclaimed Principle — open for contribution

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Forward model E

O m e g a . g r a d p s i + σ_{t} p s i = in t σ_{s} (E^{'} \to E, O m e g a^{'} \to O m e g a) p s i d E^{'} d O m e g a^{'} + c hi / (4 p i) \cdot in t n u \cdot σ_{f} \cdot p hi d E^{'}

Neutron Transport — linear Boltzmann equation forward model.

L-DAG

L.streaming -> L.collision_scatter -> L.source_fission -> int.angular_energy

L.streamingL.collision_scatterL.source_fissionint.angular_energy

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 1200

7D phase space (x, y, z, E, mu, phi, t); curse of dimensionality; ill-posed for sparse detector data.

Solvability C

Solver class:: SN-Denovo, MoC-OpenMOC, PN-legendre
Convergence rate q:: 1
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.