# Velocity field prediction on HCSG Inlet 0.4 m/s (test)

Source: [Velocity field prediction on HCSG Inlet 0.4 m/s (test)](<https://www.sota2.com/research/sota/velocity-field-prediction-on-hcsg-inlet-0-4-m-s-test>)

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

Data updated: 2026-05-29T11:40:10.180Z

Evaluation of model performance on predicting the velocity field using the HCSG Inlet dataset (0.4 m/s flow condition, test split), measured by Mean relative L2 error.

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 | Velocity field prediction |
| Dataset (including any stated split) | HCSG Inlet 0.4 m/s (test) |
| Metric | Mean Relative L2 Error |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 4 of 4 |
| 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

- [Mean Relative L2 Error](<https://www.sota2.com/research/sota/velocity-field-prediction-on-hcsg-inlet-0-4-m-s-test.md?metric=Mean%20Relative%20L2%20Error>): Lower is better; unit: PERCENT.

## Recorded results

| Method | Mean Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| MscaleFNO | 7.43 | Not recorded | 6a191dbedbd7150506f82a0c |
| FNO | 7.45 | Not recorded | 6a191dbedbd7150506f82a0c |
| L-DeepONet | 8.31 | Not recorded | 6a191dbedbd7150506f82a0c |
| L-DeepONet | 8.72 | Not recorded | 6a191dbedbd7150506f82a0c |

### MscaleFNO

Mean Relative L2 Error: 7.43. Result ID: 6a197b10fbc373592c14d268.

[Reporting paper](<https://www.sota2.com/research/paper/6a191dbedbd7150506f82a0c.md>)

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

### FNO

Mean Relative L2 Error: 7.45. Result ID: 6a197b10fbc373592c14d267.

[Reporting paper](<https://www.sota2.com/research/paper/6a191dbedbd7150506f82a0c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa581d1e209131ce9ab45d.md>)

Recorded evaluation configuration: {"modes":"24"}. This record does not assert independent reproduction.

### L-DeepONet

Mean Relative L2 Error: 8.31. Result ID: 6a197b10fbc373592c14d266.

[Reporting paper](<https://www.sota2.com/research/paper/6a191dbedbd7150506f82a0c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a191dbedbd7150506f82a0c.md>)

Recorded evaluation configuration: {"Autoencoder":"CAE"}. This record does not assert independent reproduction.

### L-DeepONet

Mean Relative L2 Error: 8.72. Result ID: 6a197b10fbc373592c14d265.

[Reporting paper](<https://www.sota2.com/research/paper/6a191dbedbd7150506f82a0c.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a191dbedbd7150506f82a0c.md>)

Recorded evaluation configuration: {"Autoencoder":"MLP-AE"}. This record does not assert independent reproduction.

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