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Neutron Diffusion — multi-group diffusion approximation L1-355
Nuclear EngineeringMulti-group diffusion (PWR / BWR core physics)δ=5 · challengingL_DAG = 3.2📋 Stub — not mineable
📋
Unclaimed Principle — open for contribution
This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.
To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.
Forward model E
-grad D_g grad phi_g + Sigma_r_g phi_g = \sum_{g'!=g} Sigma_s_{g'\to g} phi_{g'} + chi_g/k \cdot \sum_g' nu_\sigma_f_{g'} phi_{g'}Neutron Diffusion — multi-group diffusion approximation forward model.
L-DAG
L.diffusion -> L.group_coupling -> L.fission_source -> int.energy
L.diffusionL.group_couplingL.fission_sourceint.energy
Well-posedness W
- Existence:
- true
- Uniqueness:
- true
- Stability:
- conditional
- κ:
- 400
Conditional stability; mismatch parameters dominate at Omega bounds.
Solvability C
- Solver class:
- FEM-diffusion, Nodal-diffusion, CITATION
- Convergence rate q:
- 2
- Complexity:
- O(N log N) per iteration
Specs (0)
No L2 specs registered yet for this principle.