# PDE Solving on Taylor-Green Vortex nu=0.01

Source: [PDE Solving on Taylor-Green Vortex nu=0.01](<https://www.sota2.com/research/sota/pde-solving-on-taylor-green-vortex-nu-0-01>)

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

Data updated: 2026-05-26T09:11:59.449Z

Evaluation of model performance on solving the Partial Differential Equation (PDE) for the Taylor-Green Vortex flow configuration specified with viscosity nu=0.01, measured by 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 | Learning PDEs |
| Dataset (including any stated split) | Taylor-Green Vortex nu=0.01 |
| Metric | Relative L2 Error |
| Unit | SCALAR |
| Direction | Lower is better |
| Results loaded | 5 of 5 |
| 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/pde-solving-on-taylor-green-vortex-nu-0-01.md?metric=Relative%20L2%20Error>): Lower is better; unit: SCALAR.

## Recorded results

| Method | Relative L2 Error | Result date | Report paper |
| --- | --- | --- | --- |
| Hermite-NGP | 0.0000771 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| PIG | 0.000727 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| PINN | 0.0457 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| SPINN | 0.398 | Not recorded | 6a15293cdbd7150506f7e0e3 |
| INGP-FD | 0.68 | Not recorded | 6a15293cdbd7150506f7e0e3 |

### Hermite-NGP

Relative L2 Error: 0.0000771. Result ID: 6a1563d7fbc373592c0d0a5c.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

Recorded evaluation configuration: {"Model Scale":"Compact (Larger)"}. This record does not assert independent reproduction.

### PIG

Relative L2 Error: 0.000727. Result ID: 6a1563d7fbc373592c0d0a60.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa77771e209131cea7352f.md>)

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

### PINN

Relative L2 Error: 0.0457. Result ID: 6a1563d7fbc373592c0d0a5f.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

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

### SPINN

Relative L2 Error: 0.398. Result ID: 6a1563d7fbc373592c0d0a5e.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa71121e209131cea4f149.md>)

[Implementation](<https://jwcho5576.github.io/spinn.github.io/>)

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

### INGP-FD

Relative L2 Error: 0.68. Result ID: 6a1563d7fbc373592c0d0a5d.

[Reporting paper](<https://www.sota2.com/research/paper/6a15293cdbd7150506f7e0e3.md>)

[Method origin paper](<https://www.sota2.com/research/paper/68fa461e1e209131ce91df9b.md>)

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

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