Interactive Fluid Simulation of Navier–Stokes Driven Dynamical Systems in 2D
This project is an interactive simulation of a 2D dynamical system coupled with a fluid flow based on the Navier–Stokes equations. Users can adjust the wind field type and parameters, including custom vector fields, to see how they affect the motion of particles and scalar density. It’s designed to help visualize how external flows influence dynamical behavior in a simple and intuitive way.
Documentation
The following document presents a detailed and formal derivation of the equations underlying the fluid simulation above. It explains how the mathematical model is constructed from physical laws and how these are translated into the numerical scheme. The exposition emphasizes both conceptual clarity and mathematical precision, making it suitable for readers seeking to understand the theoretical principles behind the simulation and how they guide its implementation.