PINNeAPPle Labs

Use cases

What we have measured, against what, and where we are not there yet.

Every row below has a reference external to training: a published experiment, a finite-volume or finite-element solver, or an industry baseline. Where there is a limit, it is stated beside the number.

Evidence

Technical validations

CaseMetricReferenceStatus
Thermal surrogate7 heat-sink geometries~200,000× · 4.46%3D FEniCS/dolfinx + gmsh; worst case 7.35%validated
Erosion in a 90° bendOpenFOAM + surrogate1.05–1.49× · 1.0%Vieira et al. 2016, open experiment; factor-2 criterionvalidated
Airfoil optimizationsurrogate-guided, re-verified−18.2%Profile drag; target lift held to 0.04%validated
Vehicle aerodynamics10 simpleFoam runs0.05% · 1.3%Velocity field and coefficients vs. OpenFOAM; Cd at 0.17%validated
PINN vs. finite volumesfield-by-field comparison0.39%Independent finite-volume solver; max 0.67 °Cvalidated
Lid-driven cavitymesh refinement0.19%Ghia et al.; starting from 1.26%validated
Inverse h with a PINN2D plate and 3D block14.8 ± 0.3True value 15; hot spot 79.2 °C vs. 79.1 °Cvalidated
PCB thermodynamics8 package familieswithin 8%Published θJA, from SOIC-8 to a 35 mm BGAvalidated
Rover mobilitypublished model, corrected0.7–3.8%Bekker–Wong; traction error 45× lower than the originalvalidated
Brake-disc Monte Carlomanufacturing tolerance1.9 °CNominal 495.9 °C; 95th percentile at 498.1 °C, limit 500 °Cvalidated
HX-201 twinfouled exchanger0.216 °C · 95.5%Redundant probe kept out of the filter; true 0.001637 m²K/Wvalidated
Physics confidenceclient model, confidentialresidual >100×VeriPhysics guardrail over an already-trained modelvalidated

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Figures

The pictures behind the numbers

And more

Built on the same base

The platform holds 63 applications. These are the ones behind the four products above.

HeatSink Sizer

Heat sinks in seconds, checked against published correlations.

0–5% vs. literature

PCB Hotspot

Junction temperature of every part in about a second.

θJA within 8%

Simulation Preflight

PASS, WARNING or FAIL before the run, with file and line.

caught before the run

Mesh Quality

OpenFOAM, Gmsh, VTK, Abaqus, STL: metrics, heatmap, worst elements.

identical to checkMesh

Inverse Heat Lab

The h coefficient from a few thermocouples, with a PINN.

h = 14.8 ± 0.3

Aircraft Design Optimizer

NSGA-II over the wing, checked in 3D OpenFOAM.

−13% CO₂/pax-km

Surrogate Studio

Simulation results become a fast model with enforced validity.

versioned endpoint

Twin Runtime

A validated model beside operational data, with EnKF and revalidation.

MQTT · REST · OPC UA

Evidence Report

Experiments become reproducible evidence with SHA-256 on everything.

only what ran passes

Browse the set on GitHub →

Where we are not there yet: Erosion relies on a factor-2 band, not 1% precision. Flat residuals do not prove drag has settled. And in one cost analysis a classical numerical method was faster and more accurate than the network itself — the recommendation was the classical method. The twin's band is a state band calibrated on a separate window, and its lead comes from a linear extrapolation whose error is reported.

Bring your case

Got a simulation that is slow, expensive or hard to verify?

Send it over. We come back with a closed scope and a measurable success criterion — or we tell you the classical method does it better.

Talk to an engineer