MATLAB 2D Fluid Simulation

This repository contains the MATLAB code for a fluid simulation, originally coded in 2017 and featured in this YouTube video.

Overview

The code simulates fluid flow using a combination of the finite difference method and the Runge-Kutta method for particle advection. The main functionalities include:

• Initialization of velocity, pressure fields, and particle positions.
• Application of a divergence-free condition to the velocity field using the Jacobi method.
• Self-advection of the velocity fields using the Lagrangian-Eulerian approach.
• Particle advection using the Runge-Kutta 4th order method.
• Visualization of particle positions over time to show the fluid flow.

License

This project is licensed under the MIT License - see the MATLAB_2D_Fluid_Simulation.m file for details.

How to Use

1. Clone the repository.
2. Open MATLAB_2D_Fluid_Simulation.m in MATLAB.
3. Run the script to see the fluid simulation.
4. Close the figure window to stop the simulation.

Acknowledgments

This code was put together using knowledge I accumulated from the internet and my studies. If you use this code for your own animations, please give credit to the original author.