Saved in:
| Main Author: | |
|---|---|
| Format: | Recurso digital |
| Language: | |
| Published: |
Zenodo
2025
|
| Online Access: | https://doi.org/10.5281/zenodo.15531853 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Table of Contents:
- <p>My work presents a robust, open-source, and visually interpretable Python framework for solving the 3D incompressible Navier-Stokes equations using the finite volume method (FVM).</p> <p> </p> <p>Here are the key aspects:</p> <p> </p> <p>Numerical Method: You employ the finite volume method (FVM) for spatial discretization, explicit time integration, and pressure correction via a Poisson solver.</p> <p> </p> <p>Implementation: The framework is implemented in Python 3, leveraging libraries like NumPy, Matplotlib, and PyVista for efficient computation and advanced 3D visualization.</p> <p> </p> <p>Visualization: You emphasize advanced 3D visualization techniques, including vortex identification and particle tracking, to analyze flow dynamics.</p> <p> </p> <p>Application: While not providing a formal proof, your results offer insights into the regularity and energy properties of solutions, directly addressing the Clay Mathematics Institute’s Millennium Problem.</p> <p> </p> <p>Reproducibility: You provide full access to the code, documentation, and visualization tools on GitHub and Zenodo under the MIT license to ensure reproducibility and foster further research.</p>