# Navier-Stokes Rollout Simulation on Canonical incompressible Navier-Stokes (test) Source: [Navier-Stokes Rollout Simulation on Canonical incompressible Navier-Stokes (test)]() Collection index: [llms.txt]() Data updated: 2026-04-01T07:13:29.165Z Evaluation of model performance for Navier-Stokes Rollout Simulation using the test split of the Canonical incompressible Navier-Stokes dataset, measured by nRMSE and Tgen 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 | Navier-Stokes Rollout Simulation | | Dataset (including any stated split) | Canonical incompressible Navier-Stokes (test) | | Metric | nRMSE | | Unit | SCALAR | | 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: SCALAR. - [Tgen Detail](): Higher is better; unit: SCALAR. ## Recorded results | Method | nRMSE | Result date | Report paper | | --- | --- | --- | --- | | DerivOpt | 0.053 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 0.054 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 0.055 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 0.063 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivOpt | 0.063 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 0.063 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 0.064 | Not recorded | 69cca6840636e5bf4afcbb8d | | RolloutMulti | 0.066 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 0.072 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 0.072 | Not recorded | 69cca6840636e5bf4afcbb8d | | RolloutMulti | 0.075 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 0.079 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 0.083 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivOpt | 0.086 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 0.086 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 0.088 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 0.091 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 0.095 | Not recorded | 69cca6840636e5bf4afcbb8d | | RolloutMulti | 0.098 | Not recorded | 69cca6840636e5bf4afcbb8d | | ArchMulti | 0.1 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivOpt | 0.101 | Not recorded | 69cca6840636e5bf4afcbb8d | | LatentAE-Hyper | 0.102 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 0.103 | Not recorded | 69cca6840636e5bf4afcbb8d | | DerivBase | 0.109 | Not recorded | 69cca6840636e5bf4afcbb8d | | RolloutMulti | 0.112 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 0.114 | Not recorded | 69cca6840636e5bf4afcbb8d | | BestSingleDerived | 0.117 | Not recorded | 69cca6840636e5bf4afcbb8d | | Primitive | 0.127 | Not recorded | 69cca6840636e5bf4afcbb8d | ### DerivOpt nRMSE: 0.053. Result ID: 69ccc59047f34ce924b6086e. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 0.054. Result ID: 69ccc59047f34ce924b60872. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 0.055. Result ID: 69ccc59047f34ce924b60876. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 0.063. Result ID: 69ccc59047f34ce924b6086a. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivOpt nRMSE: 0.063. Result ID: 69ccc59047f34ce924b6086f. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 0.063. Result ID: 69ccc59047f34ce924b60873. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 0.064. Result ID: 69ccc59047f34ce924b60877. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### RolloutMulti nRMSE: 0.066. Result ID: 69ccc59047f34ce924b6087a. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 0.072. Result ID: 69ccc59047f34ce924b60866. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 0.072. Result ID: 69ccc59047f34ce924b6086b. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### RolloutMulti nRMSE: 0.075. Result ID: 69ccc59047f34ce924b6087b. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 0.079. Result ID: 69ccc59047f34ce924b60867. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### Primitive nRMSE: 0.083. Result ID: 69ccc59047f34ce924b60862. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"FNO"}. This record does not assert independent reproduction. ### DerivOpt nRMSE: 0.086. Result ID: 69ccc59047f34ce924b60871. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 0.086. Result ID: 69ccc59047f34ce924b60875. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 0.088. Result ID: 69ccc59047f34ce924b60879. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### Primitive nRMSE: 0.091. Result ID: 69ccc59047f34ce924b60863. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"U-Net"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 0.095. Result ID: 69ccc59047f34ce924b6086d. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### RolloutMulti nRMSE: 0.098. Result ID: 69ccc59047f34ce924b6087d. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### ArchMulti nRMSE: 0.1. Result ID: 69ccc59047f34ce924b60874. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### DerivOpt nRMSE: 0.101. Result ID: 69ccc59047f34ce924b60870. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### LatentAE-Hyper nRMSE: 0.102. Result ID: 69ccc59047f34ce924b60878. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 0.103. Result ID: 69ccc59047f34ce924b60869. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### DerivBase nRMSE: 0.109. Result ID: 69ccc59047f34ce924b6086c. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### RolloutMulti nRMSE: 0.112. Result ID: 69ccc59047f34ce924b6087c. [Reporting paper]() [Method origin paper]() [Implementation]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### Primitive nRMSE: 0.114. Result ID: 69ccc59047f34ce924b60865. [Reporting paper]() Recorded evaluation configuration: {"Backbone":"Transformer"}. This record does not assert independent reproduction. ### BestSingleDerived nRMSE: 0.117. Result ID: 69ccc59047f34ce924b60868. [Reporting paper]() [Method origin paper]() Recorded evaluation configuration: {"Backbone":"ConvLSTM"}. This record does not assert independent reproduction. ### Primitive nRMSE: 0.127. Result ID: 69ccc59047f34ce924b60864. [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.