{
  "documentation_version": "documentation-v02",
  "date": "2026-10-22",
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    "all_spatial_targets_passed": true,
    "caveat": "Diagnostic extrapolation, not an exact temporal limit or rigorous error bound. Target unchanged; primary output preserved."
  },
  "stefan_selected": {
    "case": {
      "n": 3200,
      "width": 0.0125,
      "dt": 56.25
    },
    "observations": [
      {
        "time_s": 86400.0,
        "exact_front_m": 0.05060996123197244,
        "isotherm_m": 0.05059503211311325,
        "isotherm_relative": -0.0002949838034999092,
        "phase_volume": {
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          "equivalent_position_m": 0.0506104251850776,
          "phase_profile_monotone": true,
          "partial_cells": 3,
          "interpretation": "Integrated phase volume per unit area, not an isotherm. A geometric front interpretation requires one sharp monotone interface."
        },
        "inventory_relative": 9.167229017029108e-06,
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        "max_k": 0.05802030455452604,
        "projected_reference_rms_k": 0.0
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      {
        "time_s": 108000.0,
        "exact_front_m": 0.056583656826659695,
        "isotherm_m": 0.056607559403012875,
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        "phase_volume": {
          "equivalent_depth_m": 0.05659829713040872,
          "equivalent_position_m": 0.05659829713040872,
          "phase_profile_monotone": true,
          "partial_cells": 2,
          "interpretation": "Integrated phase volume per unit area, not an isotherm. A geometric front interpretation requires one sharp monotone interface."
        },
        "inventory_relative": 0.0002587373204575989,
        "oracle_isotherm_relative": 0.00010989203118695262,
        "rms_k": 0.0018293632760324448,
        "max_k": 0.010546474061072883,
        "projected_reference_rms_k": 0.0017206275300586825
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      {
        "time_s": 129600.0,
        "exact_front_m": 0.0619842904601854,
        "isotherm_m": 0.06216988510931683,
        "isotherm_relative": 0.0029942207574456324,
        "phase_volume": {
          "equivalent_depth_m": 0.06200791167970883,
          "equivalent_position_m": 0.06200791167970883,
          "phase_profile_monotone": true,
          "partial_cells": 1,
          "interpretation": "Integrated phase volume per unit area, not an isotherm. A geometric front interpretation requires one sharp monotone interface."
        },
        "inventory_relative": 0.0003810839706006051,
        "oracle_isotherm_relative": 0.0028687056201674886,
        "rms_k": 0.002344999382774868,
        "max_k": 0.015241275405216581,
        "projected_reference_rms_k": 0.0022737674573755683
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      {
        "time_s": 151200.0,
        "exact_front_m": 0.06695068564120961,
        "isotherm_m": 0.0671648195389601,
        "isotherm_relative": 0.0031983824467166654,
        "phase_volume": {
          "equivalent_depth_m": 0.06698252560128229,
          "equivalent_position_m": 0.06698252560128229,
          "phase_profile_monotone": true,
          "partial_cells": 1,
          "interpretation": "Integrated phase volume per unit area, not an isotherm. A geometric front interpretation requires one sharp monotone interface."
        },
        "inventory_relative": 0.00047557332337582023,
        "oracle_isotherm_relative": 0.003011668031129832,
        "rms_k": 0.0026071725648667,
        "max_k": 0.01605088124416698,
        "projected_reference_rms_k": 0.0025140802874691797
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      {
        "time_s": 172800.0,
        "exact_front_m": 0.07157329356543199,
        "isotherm_m": 0.07162060415405859,
        "isotherm_relative": 0.0006610089639559414,
        "phase_volume": {
          "equivalent_depth_m": 0.07161154875120702,
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          "phase_profile_monotone": true,
          "partial_cells": 2,
          "interpretation": "Integrated phase volume per unit area, not an isotherm. A geometric front interpretation requires one sharp monotone interface."
        },
        "inventory_relative": 0.0005344896660381074,
        "oracle_isotherm_relative": 4.921696252509511e-05,
        "rms_k": 0.002578793369614698,
        "max_k": 0.008544727787680326,
        "projected_reference_rms_k": 0.0024988520200980775
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    "summary": {
      "all_case_gates": true,
      "cases": 16,
      "fine_phase_volume_gate": true,
      "fine_max_observed_inventory_relative": 0.0005344896660381074,
      "fine_final_rms_k": 0.002578793369614698,
      "fine_final_max_k": 0.008544727787680326,
      "fine_final_isotherm_relative": 0.0006610089639559414,
      "fine_final_inventory_relative": 0.0005344896660381074,
      "maximum_normalized_energy": 4.616923735264908e-12,
      "exact_projected_bias": 0.04598393664806632,
      "original_isotherm_error": 0.0464887899310232,
      "no_monotonic_convergence_claim": true,
      "core_unchanged": true,
      "no_annual": true
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  },
  "caveat": "Selected synthetic benchmarks; diagnostic extrapolations are not raw solver outputs or certified error bounds.",
  "public_name": "Heat Transfer",
  "education_track": "Frozen Ground Engineering"
}