# Velocity Reconstruction on Subcooled pool boiling (50 random snapshots)

Source: [Velocity Reconstruction on Subcooled pool boiling (50 random snapshots)](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots>)

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

Data updated: 2026-06-02T07:59:52.672Z

Evaluation of velocity reconstruction performance on the Subcooled pool boiling dataset (50 random snapshots), assessed using various velocity and vorticity error metrics.

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 Reconstruction |
| Dataset (including any stated split) | Subcooled pool boiling (50 random snapshots) |
| Metric | Vel. Relative L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 9 of 9 |
| 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

- [Vel. Relative L2 Error](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20Relative%20L2%20Error>): Lower is better; unit: SCALAR.

- [Vel. Max Rel L2 Error](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20Max%20Rel%20L2%20Error>): Lower is better; unit: SCALAR.

- [Vel. Max Error](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20Max%20Error>): Lower is better; unit: SCALAR.

- [Vel. IRMSE](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20IRMSE>): Lower is better; unit: SCALAR.

- [Vel. BRMSE](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20BRMSE>): Lower is better; unit: SCALAR.

- [Vel. Amplitude Ratio](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20Amplitude%20Ratio>): Higher is better; unit: SCALAR.

- [Vel. Div. RMSE (excl. interface)](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vel.%20Div.%20RMSE%20(excl.%20interface)>): Lower is better; unit: SCALAR.

- [Vorticity RMSE (excl. interface)](<https://www.sota2.com/research/sota/velocity-reconstruction-on-subcooled-pool-boiling-50-random-snapshots.md?metric=Vorticity%20RMSE%20(excl.%20interface)>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Vel. Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| UNet | 0.695 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| HistoryFM | 0.713 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| HB-ARFM | 0.747 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| Flow Matching | 0.758 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| FFNO | 0.827 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| DDPM | 0.969 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| DiffusionPDE | 1.532 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| VE-SDE | 1.939 | Not recorded | 6a1e63b5dbd7150506f852a7 |
| PDEDiff | 10.579 | Not recorded | 6a1e63b5dbd7150506f852a7 |

### UNet

Vel. Relative L2 Error: 0.695. Result ID: 6a1e8d6efbc373592c187f56.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

Recorded evaluation configuration: {"Category":"Deterministic Models"}. This record does not assert independent reproduction.

### HistoryFM

Vel. Relative L2 Error: 0.713. Result ID: 6a1e8d6efbc373592c187f51.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

### HB-ARFM

Vel. Relative L2 Error: 0.747. Result ID: 6a1e8d6efbc373592c187f4f.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

### Flow Matching

Vel. Relative L2 Error: 0.758. Result ID: 6a1e8d6efbc373592c187f50.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa6e7b1e209131cea4028c.md>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

### FFNO

Vel. Relative L2 Error: 0.827. Result ID: 6a1e8d6efbc373592c187f57.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

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

Recorded evaluation configuration: {"Category":"Deterministic Models"}. This record does not assert independent reproduction.

### DDPM

Vel. Relative L2 Error: 0.969. Result ID: 6a1e8d6efbc373592c187f55.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa68ef1e209131cea1f0d5.md>)

[Implementation](<https://github.com/hojonathanho/diffusion>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

### DiffusionPDE

Vel. Relative L2 Error: 1.532. Result ID: 6a1e8d6efbc373592c187f54.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa5c821e209131ce9d192e.md>)

[Implementation](<https://jhhuangchloe.github.io/Diffusion-PDE/>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

### VE-SDE

Vel. Relative L2 Error: 1.939. Result ID: 6a1e8d6efbc373592c187f52.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa69511e209131cea217ef.md>)

[Implementation](<https://github.com/yang-song/score_sde>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

### PDEDiff

Vel. Relative L2 Error: 10.579. Result ID: 6a1e8d6efbc373592c187f53.

[Reporting paper](<https://www.sota2.com/research/paper/6a1e63b5dbd7150506f852a7.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa754e1e209131cea67007.md>)

[Implementation](<https://github.com/cambridge-mlg/pdediff>)

Recorded evaluation configuration: {"Category":"Stochastic Models"}. This record does not assert independent reproduction.

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