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The Navier–Stokes equations describe fluid motion and are fundamental in Computational Fluid Dynamics (CFD). In Python, you can solve them numerically using finite difference methods with libraries like NumPy and Matplotlib for computation and visualization.
A popular learning resource is the CFD Python – 12 Steps to Navier-Stokes project, which incrementally builds from simple convection equations to full 2D Navier–Stokes solvers.
Setup Environment
Install Python 3 with scientific libraries:
pip install numpy matplotlib scipy sympy jupyterCopied!âś•CopyOr use Anaconda for an all-in-one setup:
conda install numpy matplotlib scipy sympy jupyterCopied!✕CopyExample: 2D Cavity Flow (Navier–Stokes)
This example solves the incompressible Navier–Stokes equations for a lid-driven cavity.
CFD Python
CFD Python: 12 steps to Navier-Stokes :: Lorena A. Barba Group
Jul 22, 2013 · We announce the public release of online educational materials for self-learners of CFD using IPython Notebooks: the CFD Python Class!
Step 14: Channel Flow with Navier–Stokes — CFD with Python
For the meat of our computation, we’re going to reach back to a trick we used in Step 11 for Laplace’s Equation. We’re interested in what our grid will look like once we’ve reached a near-steady state.
This practical module takes students through 12 steps, incrementally guiding them to program a solution to the two-dimensional Navier–Stokes equation, using finite diferences.
barbagroup/CFDPython | DeepWiki
Apr 25, 2025 · This repository guides learners from simple one-dimensional equations to complex two-dimensional Navier-Stokes solvers, with a focus on practical implementation in Python.
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CFD Python: the 12 steps to Navier-Stokes equations
Nov 12, 2018 · For example, Barba and Forsyth (2018) have developed a guide to assist students in numerically solving the Navier-Stokes equations by following …
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