alelouis / ode-flow

Ordinary Differential Equation Flow

ODE Flow

Ordinary Differential Equation flow visualization written in Rust with SDL2.

Ordinary Differential Equation

The ODE used is defined at the top of the ode.rs file.

// pendulum with friction
pub fn pendulum(x: f64, y: f64) -> (f64, f64) {
    (y, -x.sin() - 0.5 * y)
}

This ODE models a simple 2D pendulum with air friction.

Flow

The particle flow is constructed by sampling randomly initial positions and propagating in gradient direction with Euler integration. A constant number of particles is kept by poping front particle vector once max size is reached.

How to run

git clone https://github.com/alelouis/ode-flow.git
cd ode-flow
cargo run

Example

Enregistrement.de.l.ecran.2021-07-28.a.19.31.57.mov