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Surrogate prediction and NK correction

Compare a configurable Surrogate prediction, Newton–Krylov correction, and an optional cold-start ADflow reference on the same mesh.

Public research preview over HTTP. Traffic is not encrypted. Do not upload confidential, proprietary, personal, or otherwise sensitive geometries or data.

Timing on this shared research server. Limited hardware and queueing can make this public Demo slower than the formal benchmark setting. Cold-start ADflow convergence is case-dependent and its wall time may fluctuate substantially, typically from 10–100 s; Surrogate + NK typically takes 3–10 s. Optimization speedup is likewise strongly dependent on the case and optimization trajectory. Queue waiting time is reported separately from solver wall time.

Checking local runtime…

Define the case

Select, upload, or deform a two-dimensional airfoil.

Geometry source

Search existing airfoils Airfoil

Loading the local UIUC airfoil library…

The UIUC catalog is provided for geometry exploration; it was not explicitly included as a named training dataset. Use the geometry-support indicator for shape proximity.

Project preset.

Flow condition Mach Angle of attack (deg)

Derived Reynolds number1.638 × 10⁷ T_∞ = 300 K · p_∞ = 101325 Pa · c = 1 m · γ = 1.4

Re follows Mach under the fixed training-data reference state; it is not an independent input.

Airfoil geometry

Custom mode exposes draggable deformation points.

x / cy / c

AirfoilLoading geometry…

Maximum thickness—

Geometry support—

Geometry distanced₅ —

Geometry-only neighbourhood warning. The percentile ranks d₅ within the training-geometry reference distribution; it is not a failure probability.

Method settingsSet the prediction budget and NK target, then prepare the shared mesh.

Surrogate stepsDefault 5; 5–10 recommended Surrogate + NK convergence target10^-p · fixed compute budget

Mesh not generated.

Preparing the local workspace.

Compare predictions

Completed methods remain visible on common axes and colour scales.

Surrogate5 prediction steps

Ready

Surrogate + NKTarget 10⁻⁶ · fixed compute budget

Awaiting Surrogate

ADflowCold-start · up to 3000 cycles

Optional

Surface pressure coefficient

Raw wall-cell values are shown without curve smoothing so shock discontinuities remain visible. The shared trailing-edge closure is the mean of the final upper/lower values.

Run the Surrogate to populate the comparison.

Surface skin-friction coefficient

Raw wall-face Cf from the ADflow-aligned viscous-traction operator; positive is downstream wall shear.

Run the Surrogate to populate the comparison.

Case metrics

Cm is referenced at x/c = 0.25 with nose-up positive. Signed Δ values and absolute relative errors appear after ADflow finishes; expand CD to inspect pressure and viscous components.

Metric	Surrogate	Surrogate + NK	ADflow

Pressure fields

Switch among the five predicted channels; all methods use the same configurable scale.

Surrogate

Awaiting result

Surrogate + NK

Awaiting result

ADflow

Awaiting result

Define the case

Airfoil geometry

Compare predictions

Surface pressure coefficient

Surface skin-friction coefficient

Case metrics

Pressure fields

Absolute pressure error against ADflow