# Flow field prediction on Obstacle-free (test)

Source: [Flow field prediction on Obstacle-free (test)](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test>)

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

Data updated: 2026-06-08T08:04:54.544Z

Evaluation of flow field prediction performance on the test split of the Obstacle-free dataset, measured using metrics like nRMSE, R^2, Cosine similarity, and various divergence/vorticity gaps.

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 | Flow field prediction |
| Dataset (including any stated split) | Obstacle-free (test) |
| Metric | nRMSE |
| Unit | PERCENT |
| Direction | Lower is better |
| Results loaded | 3 of 3 |
| 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

- [nRMSE](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=nRMSE>): Lower is better; unit: PERCENT.

- [R^2](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=R%5E2>): Higher is better; unit: PERCENT.

- [Cosine Similarity](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=Cosine%20Similarity>): Higher is better; unit: PERCENT.

- [Divergence Gap (Pred vs Target)](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=Divergence%20Gap%20(Pred%20vs%20Target)>): Lower is better; unit: SCALAR.

- [Relative Divergence](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=Relative%20Divergence>): Lower is better; unit: SCALAR.

- [Vorticity Gap (Pred vs Target)](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=Vorticity%20Gap%20(Pred%20vs%20Target)>): Lower is better; unit: SCALAR.

- [Relative Vorticity](<https://www.sota2.com/research/sota/flow-field-prediction-on-obstacle-free-test.md?metric=Relative%20Vorticity>): Lower is better; unit: SCALAR.

## Recorded results

| Method | nRMSE | Result date | Report paper |
| --- | --- | --- | --- |
| Diffusion (baseline) | 5.92 | Not recorded | 6a264cb190966ade919bebab |
| Drifting (label) | 6.84 | Not recorded | 6a264cb190966ade919bebab |
| Drifting (spatial) | 10.76 | Not recorded | 6a264cb190966ade919bebab |

### Diffusion (baseline)

nRMSE: 5.92. Result ID: 6a2677a2fbc373592c231b04.

[Reporting paper](<https://www.sota2.com/research/paper/6a264cb190966ade919bebab.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6c391e209131cea32e4a.md>)

[Implementation](<https://github.com/CompVis/latent-diffusion>)

Recorded evaluation configuration: {"Model":"Diffusion","Conditioning":"label-based"}. This record does not assert independent reproduction.

### Drifting (label)

nRMSE: 6.84. Result ID: 6a2677a2fbc373592c231b05.

[Reporting paper](<https://www.sota2.com/research/paper/6a264cb190966ade919bebab.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a264cb190966ade919bebab.md>)

Recorded evaluation configuration: {"Model":"Drifting","Conditioning":"label-based"}. This record does not assert independent reproduction.

### Drifting (spatial)

nRMSE: 10.76. Result ID: 6a2677a2fbc373592c231b06.

[Reporting paper](<https://www.sota2.com/research/paper/6a264cb190966ade919bebab.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a264cb190966ade919bebab.md>)

Recorded evaluation configuration: {"Model":"Drifting","Conditioning":"spatial"}. This record does not assert independent reproduction.

Page 1 of 1. This is an index page, not the full collection.