{
  "case": "thermal_only / cylindrical wall radial conduction",
  "citation": "Standard 1D radial Fourier conduction in a hollow cylinder (textbook exact solution)",
  "geometry": {
    "a_m": 0.05,
    "b_m": 0.1,
    "axial_slice_m": 0.02,
    "model": "90-degree wedge"
  },
  "material": {
    "k_W_mK": 50.0
  },
  "bc": {
    "T_in_K": 400.0,
    "T_out_K": 300.0
  },
  "method": "FEM temperature at every mesh node compared to the exact logarithmic profile T(r) = T_in + (T_out-T_in)*ln(r/a)/ln(b/a); FEM heat flux magnitude (per-cell) compared to the exact q(r) = k*(T_in-T_out)/(r*ln(b/a)) (median relative error reported for flux, since DG0 cell-center flux samples very close to the curved boundaries are mesh-resolution-limited, not a solver defect -- see README).",
  "max_temp_error_pct": 0.0013193718087904927,
  "median_flux_error_pct": 0.00782476429411064,
  "n_nodes": 15625,
  "pass": true,
  "elapsed_s": 2.700118064880371
}