# Trajectory Prediction on Navier-Stokes ν = 10⁻⁵, turbulent

Source: [Trajectory Prediction on Navier-Stokes ν = 10⁻⁵, turbulent](<https://www.sota2.com/research/sota/trajectory-prediction-on-navier-stokes-10-turbulent>)

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

Data updated: 2026-05-12T11:16:04.552Z

Evaluation of model performance on predicting trajectories within the turbulent Navier-Stokes simulation environment (ν = 10⁻⁵), typically measured using 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 | Trajectory Prediction |
| Dataset (including any stated split) | Navier-Stokes ν = 10⁻⁵, turbulent |
| Metric | Relative L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 2 of 2 |
| 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

- [Relative L2 Error](<https://www.sota2.com/research/sota/trajectory-prediction-on-navier-stokes-10-turbulent.md?metric=Relative%20L2%20Error>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| SpectraNet | 0.0822 | Not recorded | 6a02b45bdbc836b87d8249c8 |
| FNO | 0.1024 | Not recorded | 6a02b45bdbc836b87d8249c8 |

### SpectraNet

Relative L2 Error: 0.0822. Result ID: 6a030be547f34ce924e6c8c7.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b45bdbc836b87d8249c8.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a02b45bdbc836b87d8249c8.md>)

Recorded evaluation configuration: {"params":"2.04 M"}. This record does not assert independent reproduction.

### FNO

Relative L2 Error: 0.1024. Result ID: 6a030be547f34ce924e6c8c8.

[Reporting paper](<https://www.sota2.com/research/paper/6a02b45bdbc836b87d8249c8.md>)

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

Recorded evaluation configuration: {"params":"4.75 M"}. This record does not assert independent reproduction.

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