CFD
Parametric Darcy Flow
Adjust permeability contrast and correlation length on a unit square with zero-pressure edges and a uniform source to view the input permeability and predicted pressure fields.
Published scope
The inputs, geometry and outputs below follow the registered public case. Published verification applies only to the stated conditions. Service availability requires a live request.
Darcy PINO / FNO
A heterogeneous porous unit square has zero pressure on all edges, a uniform source and a smooth positive permeability field.
Adjust permeability contrast and correlation length to predict pressure on 241 by 241 points alongside the actual input field. Inputs and outputs are dimensionless; this is a numerical-method benchmark.
- Geometry
- 2D unit square, original 241 by 241 grid
- Geometry scope
- same_geometry_only
Adjustable inputs
| Input | Range | Default |
|---|---|---|
| Permeability contrast | 1.2 – 3.0 | 2.1 |
| Correlation length | 0.15 – 0.35 | 0.24 |
Output fields
- Pressure: pressure, permeability
Registered verification
- registered_status
- passed
- thresholds
- mean_relative_l2_max: 0.02; worst_relative_l2_max: 0.05; boundary_abs_max: 1e-08; global_mass_relative_error_max: 0.05; negative_pressure_abs_max: 1e-08
- summary
- 45 held-out complete conditions passed independent finite-volume comparison. Custom requests have no per-request reference.
- registered_validation
- mean_relative_l2: 0.006504775921940325; worst_relative_l2: 0.022798917987635413; worst_mass_relative_error: 0.033717673888223436
- registered_blind_holdout
- mean_relative_l2: 0.006523952683782475; worst_relative_l2: 0.032282599768322866; worst_mass_relative_error: 0.03411995060218972
Recorded workflow evidence
- Project opening
- PASS
- Save and reopen
- PASS
- Training
- NOT_RUN
- Prediction
- NOT_RUN
- Independent accuracy
- NOT_RUN
- Portable validation
- NOT_RUN
These are recorded checks; they do not establish live service availability or accuracy for every new request.