# Fluid dynamics simulation on Navier-Stokes periodic incompressible (test) Source: [Fluid dynamics simulation on Navier-Stokes periodic incompressible (test)]() Collection index: [llms.txt]() Data updated: 2026-04-01T07:13:29.113Z Evaluation of model performance on simulating fluid dynamics using the periodic incompressible variant of the Navier-Stokes dataset (test split), measured by nRMSE and T\_gen\_Detail. 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 | Fluid dynamics simulation | | Dataset (including any stated split) | Navier-Stokes periodic incompressible (test) | | Metric | nRMSE | | Unit | PERCENT | | Direction | Lower is better | | Results loaded | 28 of 28 | | 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](): Lower is better; unit: PERCENT. - [T\_gen\_Detail](): Higher is better; unit: SCALAR. ## Recorded results | Method | nRMSE | Result date | Report paper | | --- | --- | --- | --- | | DerivOpt | 5.3 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 5.4 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 5.5 | Not recorded | 69cca6840636e5bf4afcbb8d | | BetaVAE-Hyper | 5.7 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 6.3 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivOpt | 6.3 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 6.3 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 6.4 | Not recorded | 69cca6840636e5bf4afcbb8d | | BetaVAE-Hyper | 6.5 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 7.2 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 7.2 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 7.9 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 8.3 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivOpt | 8.6 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 8.6 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 8.8 | Not recorded | 69cca6840636e5bf4afcbb8d | | BetaVAE-Hyper | 8.9 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 9.1 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 9.5 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 10 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivOpt | 10.1 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 10.2 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 10.3 | Not recorded | 69cca6840636e5bf4afcbb8d | | BetaVAE-Hyper | 10.4 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 10.9 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 11.4 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 11.7 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 12.7 | Not recorded | 69cca6840636e5bf4afcbb8d | ### DerivOpt nRMSE: 5.3. Result ID: 69ccc59047f34ce924b60852. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 5.4. Result ID: 69ccc59047f34ce924b60856. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 5.5. Result ID: 69ccc59047f34ce924b6085a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### BetaVAE-Hyper nRMSE: 5.7. Result ID: 69ccc59047f34ce924b6085e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 6.3. Result ID: 69ccc59047f34ce924b6084e. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivOpt nRMSE: 6.3. Result ID: 69ccc59047f34ce924b60853. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 6.3. Result ID: 69ccc59047f34ce924b60857. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 6.4. Result ID: 69ccc59047f34ce924b6085b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### BetaVAE-Hyper nRMSE: 6.5. Result ID: 69ccc59047f34ce924b6085f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 7.2. Result ID: 69ccc59047f34ce924b6084a. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 7.2. Result ID: 69ccc59047f34ce924b6084f. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 7.9. Result ID: 69ccc59047f34ce924b6084b. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### Primitive nRMSE: 8.3. Result ID: 69ccc59047f34ce924b60846. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivOpt nRMSE: 8.6. Result ID: 69ccc59047f34ce924b60855. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 8.6. Result ID: 69ccc59047f34ce924b60859. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 8.8. Result ID: 69ccc59047f34ce924b6085d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### BetaVAE-Hyper nRMSE: 8.9. Result ID: 69ccc59047f34ce924b60861. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### Primitive nRMSE: 9.1. Result ID: 69ccc59047f34ce924b60847. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 9.5. Result ID: 69ccc59047f34ce924b60851. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 10. Result ID: 69ccc59047f34ce924b60858. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### DerivOpt nRMSE: 10.1. Result ID: 69ccc59047f34ce924b60854. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 10.2. Result ID: 69ccc59047f34ce924b6085c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 10.3. Result ID: 69ccc59047f34ce924b6084d. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### BetaVAE-Hyper nRMSE: 10.4. Result ID: 69ccc59047f34ce924b60860. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 10.9. Result ID: 69ccc59047f34ce924b60850. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### Primitive nRMSE: 11.4. Result ID: 69ccc59047f34ce924b60849. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 11.7. Result ID: 69ccc59047f34ce924b6084c. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### Primitive nRMSE: 12.7. Result ID: 69ccc59047f34ce924b60848. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. Page 1 of 1. This is an index page, not the full collection.