How we know ΨMonkey's numbers are right

Every build of ΨMonkey is run against the test reference case published in BS EN ISO 10211, against closed-form analytical solutions, and across all 38 junction templates. These are the actual results from the current build — not a claim, a table.

Build git 6930721 · run 2 September 2026

  • 21 / 21 solver checks passed
  • 38 / 38 junction templates rasterised, solved and audited
  • 0 boundary-condition leaks across all templates

1. The BS EN ISO 10211 test reference case

BS EN ISO 10211 publishes test reference cases so that any calculation method can be checked against a known answer. Case 2 is the two-dimensional one that matters for junctions: a concrete slab with a wooden batten, an aluminium window frame and insulation — deliberately awkward, because the aluminium (λ = 230 W/m·K) sits next to insulation (λ = 0.029) and a solver that smears heat across that contrast will fail. The standard gives nine reference surface temperatures and the total heat flow, and a method is expected to reproduce them to 0.1 °C and 0.1 W/m.

PointStandardΨMonkeyDeviationLimit
A 7.1 °C 7.062 °C 0.038 K 0.100 K PASS
B 0.8 °C 0.761 °C 0.039 K 0.100 K PASS
C 7.9 °C 7.895 °C 0.005 K 0.100 K PASS
D 6.3 °C 6.265 °C 0.035 K 0.100 K PASS
E 0.8 °C 0.828 °C 0.028 K 0.100 K PASS
F 16.4 °C 16.407 °C 0.007 K 0.100 K PASS
G 16.3 °C 16.333 °C 0.033 K 0.100 K PASS
H 16.8 °C 16.768 °C 0.032 K 0.100 K PASS
I 18.3 °C 18.334 °C 0.034 K 0.100 K PASS
Heat flow 9.5 W/m 9.489 W/m 0.011 W/m 0.100 W/m PASS

Worst temperature deviation across the nine points: 0.039 K — about a third of the permitted tolerance. Heat flow is within 0.011 W/m of the reference value.

2. Analytical benchmarks and geometry regressions

A reference case proves the solver gets one hard problem right. These eleven checks prove it gets the easy ones exactly right — where an exact answer exists, ΨMonkey has to reproduce it to six figures, not approximately — and that its geometry handling doesn't drift.

CheckExpectedΨMonkeyTolerance
Flat homogeneous wall — U-valueAnalytical 1D solution 1.754386 W/m²K (exact) 1.754386 0.0001 PASS
Flat homogeneous wall — ΨNo bridge present, so Ψ must vanish 0 (exact) 1.6 × 10⁻¹¹ 0.0001 PASS
Flat homogeneous wall — f_RsiAnalytical 1D surface temperature 0.771930 (exact) 0.771930 0.0001 PASS
Multilayer wall + ISO 6946 cavity — UBrick / cavity Rc 0.18 / block 0.719963 W/m²K (exact) 0.719963 0.0001 PASS
Multilayer wall — ΨLayered but unbridged 0 (exact) 8.2 × 10⁻¹² 0.0001 PASS
Upward heat flow, Rsi 0.10 — UDirectional surface resistance 0.194553 W/m²K (exact) 0.194553 0.0001 PASS
Laplace field vs Fourier-series solution — max |ΔT|Pure-conduction field against a closed-form analytical solution, sampled at 9 interior points 0 K 0.0007 K 0.1 K PASS
Tilted slab 18.5° — ΨGeometry regression: a uniform sloped slab has no bridge, so Ψ must stay at zero however it is tilted 0 W/(m·K) 0.0040 0.008 PASS
Tilted slab 30° — ΨAs above, steeper 0 W/(m·K) 0.0028 0.010 PASS
R4 ridge at 18.5° — ΨRidge Ψ should reflect the timber ridge member only 0.008 W/(m·K) −0.0005 0.015 PASS
R4 ridge — swing between 18.5° and 45°Pitch invariance: the same detail at a different pitch must not move Ψ 0 W/(m·K) 0.027 0.040 PASS

3. All 38 junction templates

Separately from the solver checks, every shipped junction template is drawn, audited and solved on each build — at its default build-up and again after the build-up has been edited, because a template that only works untouched is no use to anyone. The audit confirms each detail rasterises to the geometry it describes, that no internal surface ends up adjacent to an external one (a leak that would silently understate Ψ), and that the solution converges with a closed energy balance.

The Ψ-values below are what the shipped defaults produce — the accredited full-fill masonry wall, with every other element at the template default. They are a starting point, not your answer: change a thickness or a material and they move, which is the entire point of the tool. The same 38 templates solved against eight named walls are on the psi values reference page, each figure a click from the model that made it.

RefJunctionΨ (W/m·K)fRsiLeaks
E1 Lintel — steel (window head) 0.2234 0.819 0 PASS
E2 Lintel — insulated, no base plate (window head) 0.1966 0.809 0 PASS
E3 Cill (window sill) 0.0472 0.751 0 PASS
E4 Jamb (window reveal) 0.0048 0.850 0 PASS
E5 Ground floor (suspended beam & block) 0.0706 0.862 0 PASS
E5s Ground floor (solid ground-bearing slab) 0.0942 0.872 0 PASS
E19 Ground floor (inverted) 0.1115 0.845 0 PASS
E20 Exposed floor (normal) 0.2999 0.799 0 PASS
E21 Exposed floor (inverted) 0.2999 0.799 0 PASS
E22 Basement floor 0.1230 0.794 0 PASS
E6 Intermediate floor (within dwelling) 0.0076 0.973 0 PASS
E7 Party floor between dwellings 0.0452 0.971 0 PASS
E8 Balcony — insulation continuous 0.0000 0.977 0 PASS
E9 Balcony between dwellings 0.0141 0.977 0 PASS
E23 Balcony — support penetrates insulation 0.2692 0.791 0 PASS
E10 Eaves (insulation at ceiling level) 0.0347 0.944 0 PASS
E11 Eaves (insulation at rafter level) 0.0557 0.957 0 PASS
E24 Eaves (insulation at ceiling — inverted) 0.0276 0.952 0 PASS
E12 Gable (insulation at ceiling level) 0.0456 0.940 0 PASS
E13 Gable (insulation at rafter level) 0.0363 0.944 0 PASS
E14 Flat roof 0.0613 0.954 0 PASS
E15 Flat roof with parapet 0.0858 0.945 0 PASS
E16 Corner (normal) 0.0372 0.947 0 PASS
E17 Corner (inverted) -0.0753 0.947 0 PASS
E18 Party wall / external wall -0.0010 0.973 0 PASS
E25 Staggered party wall -0.0004 0.969 0 PASS
P1 Party wall — ground floor 0.1756 0.917 0 PASS
P6 Party wall — ground floor (inverted) 0.1191 0.903 0 PASS
P2 Party wall — intermediate floor (within dwelling) 0.0539 0.979 0 PASS
P3 Party wall — floor between dwellings 0.0539 0.979 0 PASS
P7 Party wall — exposed floor -0.0012 0.966 0 PASS
P8 Party wall — exposed floor (inverted) -0.0070 0.950 0 PASS
P4 Party wall — roof (insulation at ceiling) 0.2604 0.819 0 PASS
P5 Party wall — roof (insulation at rafter) 0.0172 0.968 0 PASS
R1 Roof window — head 0.0694 0.877 0 PASS
R2 Roof window — sill 0.0632 0.873 0 PASS
R3 Roof window — jamb 0.0320 0.914 0 PASS
R4 Ridge (vaulted ceiling) -0.0039 0.895 0 PASS

4. What this does — and doesn't — prove

Validation is worth something only if it's honest about its limits, so:

5. Run it yourself

The validation suite ships inside the app — this isn't a report we wrote about ourselves. Open ΨMonkey and click ✓ Validate in the sidebar: it runs these same 21 checks in your own browser, on your machine, and prints the same table. (The ISO 10211 reference case is a 95,000-cell model, so give it 10–20 seconds.) If a check ever fails for you, we want to know — 01202 623236.

Case numbering follows BS EN ISO 10211:2017. Every paid ΨMonkey report carries a printed report ID that Building Control can verify in seconds, and cites this validation on its quality-assurance page.

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See it for yourself

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