Building a Navier-Stokes Solver in Python from Scratch: Simulating Airflow

This guide details how to build an incompressible Navier-Stokes solver from scratch using Python and NumPy to simulate airflow. It covers the underlying physics, the discretization of partial differential equations using finite differences, and the implementation of the main solver loop. The process involves solving the Pressure-Poisson equation and updating velocity fields to simulate airflow around a bird's wing geometry. The results show the generation of lift by integrating the pressure field, and the article concludes by discussing the limitations and potential improvements for the solver.