Python Implementation of Non-local Repulsive Navier-Stokes Regularization: 128^3 Stable Test and 512^3 Cluster Template with Energy Identity G_delta Check - MIT License

Python codes demonstrating numerical stability of regularized NS d_t u + P[(u·grad)u + epsilon u Phi_delta]=nu Delta u for fixed delta>0. Includes 2D demo (laptop), 128^3 stable test (PC 16GB), 512^3 template (cluster only, CESGA/MareNostrum), and energy check dE/dt+nu||grad u||^2+epsilon G_delta=0. Does NOT claim classical NS regularity. Open MIT.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-28
DOI
https://doi.org/10.5281/zenodo.22150733
Primary Topic
Model Reduction and Neural Networks
Type
article
Field-Weighted Citation Impact
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article

Python Implementation of Non-local Repulsive Navier-Stokes Regularization: 128^3 Stable Test and 512^3 Cluster Template with Energy Identity G_delta Check - MIT License

Jorge clavijo Hernández
Zenodo (CERN European Organization for Nuclear Research)
Model Reduction and Neural Networks
article

Python Implementation of Non-local Repulsive Navier-Stokes Regularization: 128^3 Stable Test and 512^3 Cluster Template with Energy Identity G_delta Check - MIT License

Jorge clavijo Hernández
article en

Abstract

Python codes demonstrating numerical stability of regularized NS d_t u + P[(u·grad)u + epsilon u Phi_delta]=nu Delta u for fixed delta>0. Includes 2D demo (laptop), 128^3 stable test (PC 16GB), 512^3 template (cluster only, CESGA/MareNostrum), and energy check dE/dt+nu||grad u||^2+epsilon G_delta=0. Does NOT claim classical NS regularity. Open MIT.

Zenodo (CERN European Organization for Nuclear Research)
Affordable and clean energy
Openalex Percentile: Top 9%
Model Reduction and Neural Networks
DOIOpen Access PDFOpenAlex
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Python Implementation of Non-local Repulsive Navier-Stokes Regularization: 128^3 Stable Test and 512^3 Cluster Template with Energy Identity G_delta Check - MIT License — Jorge clavijo Hernández · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS