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Zenodo
2025
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| Online Access: | https://doi.org/10.5281/zenodo.15531853 |
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| author | Ndenga, Barack |
| author_facet | Ndenga, Barack |
| 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> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_15531853 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Numerical Solution of the Navier-Stokes Equations in 3D Using the Finite Volume Method: Application to the Millennium Problem Ndenga, Barack <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> |
| title | Numerical Solution of the Navier-Stokes Equations in 3D Using the Finite Volume Method: Application to the Millennium Problem |
| url | https://doi.org/10.5281/zenodo.15531853 |