# Mach number field prediction on Airfoil NACA-0012 (train)

Source: [Mach number field prediction on Airfoil NACA-0012 (train)](<https://www.sota2.com/research/sota/mach-number-field-prediction-on-airfoil-naca-0012-train>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2026-02-26T05:42:10.258Z

Evaluation of model performance on predicting the Mach number field using the training split of the Airfoil NACA-0012 dataset, measured by error percentage.

A research result applies to its stated dataset, split, metric and evaluation configuration. Compare like-for-like settings, preserve the metric's unit and direction, and distinguish paper-reported results from independent reproduction. The best result recorded here is not a claim of exhaustive, current global coverage.

| Scope | Recorded value |
| --- | --- |
| Task | Mach number field prediction |
| Dataset (including any stated split) | Airfoil NACA-0012 (train) |
| Metric | Error (%) |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 7 of 7 |
| Coverage | All results currently returned for this benchmark |

Evaluation settings may differ between results. The original papers and recorded configurations are needed to establish comparability. A shared metric name alone does not establish an identical protocol.

## Metrics

- [Error (%)](<https://www.sota2.com/research/sota/mach-number-field-prediction-on-airfoil-naca-0012-train.md?metric=Error%20(%25)>): Lower is better; unit: PERCENT.

## Recorded results

| Method | Error (%) | Result date | Report paper |
| --- | --- | --- | --- |
| eDAFNO | 32.9 | Not recorded | 68fa458d1e209131ce9196ed |
| eDAFNO | 33.1 | Not recorded | 68fa458d1e209131ce9196ed |
| iDAFNO | 44.8 | Not recorded | 68fa458d1e209131ce9196ed |
| F-FNO | 56.6 | Not recorded | 68fa458d1e209131ce9196ed |
| Geo-FNO | 156.5 | Not recorded | 68fa458d1e209131ce9196ed |
| FNO | 267.6 | Not recorded | 68fa458d1e209131ce9196ed |
| UNet | 278.1 | Not recorded | 68fa458d1e209131ce9196ed |

### eDAFNO

Error (%): 32.9. Result ID: 698b9af27a967eddb76ffcb3.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Implementation](<https://github.com/ningliu-iga/DAFNO>)

Recorded evaluation configuration: {"grid":"uniform"}. This record does not assert independent reproduction.

### eDAFNO

Error (%): 33.1. Result ID: 698b9af27a967eddb76ffcb5.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Implementation](<https://github.com/ningliu-iga/DAFNO>)

Recorded evaluation configuration: {"grid":"irregular"}. This record does not assert independent reproduction.

### iDAFNO

Error (%): 44.8. Result ID: 698b9af27a967eddb76ffcb4.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Implementation](<https://github.com/ningliu-iga/DAFNO>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### F-FNO

Error (%): 56.6. Result ID: 698b9af27a967eddb76ffcb7.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6ea81e209131cea412c9.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### Geo-FNO

Error (%): 156.5. Result ID: 698b9af27a967eddb76ffcb6.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5bb81e209131ce9cac40.md>)

Recorded evaluation configuration: Not recorded. This record does not assert independent reproduction.

### FNO

Error (%): 267.6. Result ID: 698b9af27a967eddb76ffcb8.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5bb81e209131ce9cac40.md>)

Recorded evaluation configuration: {"conditioning":"mask"}. This record does not assert independent reproduction.

### UNet

Error (%): 278.1. Result ID: 698b9af27a967eddb76ffcb9.

[Reporting paper](<https://www.sota2.com/research/paper/68fa458d1e209131ce9196ed.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5bb81e209131ce9cac40.md>)

Recorded evaluation configuration: {"conditioning":"mask"}. This record does not assert independent reproduction.

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