L1 ⚛ L1-359 ⊙ Testnet

Reactor Thermal-Hydraulics — coupled T/H with neutronics

Nuclear Engineering · RELAP / CTF core thermal-hydraulic transient

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⬇ L1-359.md

# ⚛ L1 Principle — Reactor Thermal-Hydraulics — coupled T/H with neutronics **ID:** `L1-359` · **Status:** ⊙ Testnet (genesis catalog) > **🌐 Domain:** Nuclear Engineering — *RELAP / CTF core thermal-hydraulic transient* > **🎯 Problem class:** nonlinear inverse · **🧮 Solution space:** temp flow reactor core > **📡 Carrier:** thermal · **🌫 Noise:** gaussian > **⚖ Difficulty (δ):** 5 · **⛓ Block:** 41554097 --- ## 🧠 1. Introduction **Reactor Thermal-Hydraulics — coupled T/H with neutronics** is a **nonlinear inverse problem** whose unknown lives in **temp flow reactor core** space, within the **RELAP / CTF core thermal-hydraulic transient** sub-domain of **Nuclear Engineering**. Measurements consist of thermal radiation / temperature measurements via a **thermocouples flowmeters** sensing mechanism. The forward operator applies, in order: L · two phase flow operator; L · fuel rod conduction operator; L · coolant energy operator; detector accumulates flux over the exposure window. Observations are corrupted by additive Gaussian noise. Conditional stability; mismatch parameters dominate at Omega bounds. ## ⚙ 2. Forward Model Physical chain: **x** → L · two phase flow → L · fuel rod conduction → L · coolant energy → Temporal integration → **y** (detector). ``` y = ∫_t dt `L.coolant_energy` `L.fuel_rod_conduction` `L.two_phase_flow` x + n, n ~ 𝒩(0, σ²) ``` **Measurement DAG:** | Primitive | What it does | |---|---| | `L.two_phase_flow` | L · two phase flow operator | | `L.fuel_rod_conduction` | L · fuel rod conduction operator | | `L.coolant_energy` | L · coolant energy operator | | `int.temporal` | Detector accumulates flux over the exposure window | ## 🔬 3. Physics Fingerprint | Property | Value | |---|---| | Domain | Nuclear Engineering | | Sub domain | RELAP / CTF core thermal-hydraulic transient | | Carrier | thermal | | Problem class | nonlinear_inverse | | Solution space | temp_flow_reactor_core | | Noise model | gaussian | | Integration axis | temporal | | Difficulty delta | 5 | | L dag | 3.7 | ## 📡 4. Measurement Model Conditional stability; mismatch parameters dominate at Omega bounds. | Metric | Value | |---|---| | Metric | PSNR_dB | | Secondary | SSIM | ## 📏 5. Operating Range (Ω) **Center problem class:** `thermal_hydraulics` · **Forward operator:** `thermal_hydraulics_forward` **Center point:** | Parameter | Unit | Value | |---|---|---| | Snr db | dB | 30 | | N axial | — | 24 | | N samples | — | 1000 | | N assemblies | — | 193 | | Fuel k error | — | 0 | | Friction factor error | — | 0 | | Boiling correlation error | — | 0 | | Heat transfer coeff error | — | 0 | **Allowed bounds:** | Parameter | Unit | Range | |---|---|---| | Snr db | dB | 0 – 40 | | N axial | — | 1 – 100 | | N samples | — | 100 – 100000 | | N assemblies | — | 1 – 1000 | | Fuel k error | — | 0.0 – 0.1 | | Friction factor error | — | 0.0 – 0.2 | | Boiling correlation error | — | 0.0 – 0.3 | | Heat transfer coeff error | — | 0.0 – 0.3 | ## 🎯 6. Tolerance (ε) **Center tolerance:** 22.0 | Metric | Range | |---|---| | Psnr db | 10.0 – 45.0 | ## ⚖ 7. Hardness Function Hardness scales as **`epsilon_fn`** on **PSNR_dB**, with κ = `600` and δ = `5`. ## 💾 8. Reference Dataset - **primary** · weight 1.0 · IPFS _(not pinned yet)_ ## 9. On-chain Registration - **Chain hash:** `0x566757c58309bb7484c76db4bb549387fe8154c6777c8ed44e12a808a7f3d70a` - **Chain tx hash:** `0xbb8a53776d3c15cfbb239abd438b7dfece7cf8ae6ff8adc765e57faa6690ead0` - **Chain block:** `41554097` --- ## File Mapping This bundle consists of: `L1-359.md`, `L1-359.json`. | File | Role | How to regenerate | |------|------|-------------------| | `L1-359.md` | Source of truth — edit this | Human or LLM | | `L1-359.json` | Structured metadata for the registry | LLM regenerates from the sections above | **Prompt for your LLM after editing this Markdown:** > Read the attached Markdown. Regenerate the sibling `.json` so every field matches. > Preserve the schema documented in the rows above. > Output each file in its own fenced code block tagged with the filename. > Output only the JSON object. _This Markdown was auto-synthesized from the catalog row for `L1-359`._ _Edit it, regenerate the JSON, and submit at [/submit](/submit) to claim the artifact._

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L2-359-001 Reactor Thermal-Hydraulics — coupled T/H with neutronics Mismatch-Only Spec

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📋 JSON metadata

{
  "artifact_id": "L1-359",
  "chain_block": 41554097,
  "chain_hash": "0x566757c58309bb7484c76db4bb549387fe8154c6777c8ed44e12a808a7f3d70a",
  "chain_tx_hash": "0xbb8a53776d3c15cfbb239abd438b7dfece7cf8ae6ff8adc765e57faa6690ead0",
  "domain": "Nuclear Engineering",
  "hardness_fn": {
    "delta": 5,
    "kappa": 600,
    "metric": "PSNR_dB",
    "type": "epsilon_fn"
  },
  "initiator_dataset": [
    {
      "ipfs_cid": null,
      "license_hash": null,
      "name": "primary",
      "weight": 1.0
    }
  ],
  "layer": "L1",
  "observable_profile": {
    "metric": "PSNR_dB",
    "regime": "Conditional stability; mismatch parameters dominate at Omega bounds.",
    "secondary": "SSIM"
  },
  "physics_fingerprint": {
    "L_DAG": 3.7,
    "carrier": "thermal",
    "difficulty_delta": 5,
    "domain": "Nuclear Engineering",
    "integration_axis": "temporal",
    "noise_model": "gaussian",
    "primitives": [
      "L.two_phase_flow",
      "L.fuel_rod_conduction",
      "L.coolant_energy",
      "int.temporal"
    ],
    "problem_class": "nonlinear_inverse",
    "sensing_mechanism": "thermocouples_flowmeters",
    "solution_space": "temp_flow_reactor_core",
    "sub_domain": "RELAP / CTF core thermal-hydraulic transient",
    "title": "Reactor Thermal-Hydraulics \u2014 coupled T/H with neutronics"
  },
  "size_tiers": {
    "allowed_forward_operators": [
      "thermal_hydraulics_forward"
    ],
    "allowed_omega_dimensions": [
      "N_assemblies",
      "N_axial",
      "N_samples",
      "SNR_dB",
      "friction_factor_error",
      "boiling_correlation_error",
      "fuel_k_error",
      "heat_transfer_coeff_error",
      "friction_factor_error",
      "boiling_correlation_error",
      "fuel_k_error",
      "heat_transfer_coeff_error"
    ],
    "allowed_problem_classes": [
      "thermal_hydraulics"
    ],
    "center_spec": {
      "epsilon_fn_center": "22.0",
      "forward_operator": "thermal_hydraulics_forward",
      "input_format": "measurement_only",
      "omega": {
        "N_assemblies": 193,
        "N_axial": 24,
        "N_samples": 1000,
        "SNR_dB": 30,
        "boiling_correlation_error": 0.0,
        "friction_factor_error": 0.0,
        "fuel_k_error": 0.0,
        "heat_transfer_coeff_error": 0.0
      },
      "problem_class": "thermal_hydraulics"
    },
    "epsilon_bounds": {
      "psnr_db": [
        10.0,
        45.0
      ]
    },
    "omega_bounds": {
      "N_assemblies": [
        1,
        1000
      ],
      "N_axial": [
        1,
        100
      ],
      "N_samples": [
        100,
        100000
      ],
      "SNR_dB": [
        0,
        40
      ],
      "boiling_correlation_error": [
        0.0,
        0.3
      ],
      "friction_factor_error": [
        0.0,
        0.2
      ],
      "fuel_k_error": [
        0.0,
        0.1
      ],
      "heat_transfer_coeff_error": [
        0.0,
        0.3
      ]
    }
  },
  "staked_pwm": 0.0,
  "status": "testnet",
  "sub_domain": "RELAP / CTF core thermal-hydraulic transient",
  "title": "Reactor Thermal-Hydraulics \u2014 coupled T/H with neutronics"
}

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