Verlet Integration (C)

Synopsis

This is an implementation of Verlet Integration, a numerical method commonly used for approximating trajectories. It's made with the C programming language and OpenGL, a popular API for GPU rendering. See here for the Python version (outdated).

Key Features

• Simulate thousands of particles (at 60 FPS) experiencing real-time collisions, arbitrary forces, constraints, and linking.
• First person camera that can be controlled using the mouse and keyboard or animated along a path (Bézier curve).
• Custom OBJ file parser to import models from external applications and convert mesh data into an OpenGL-friendly data structure.
• Substeps, mathematical approximations, and sampling for improved simulation accuracy and stability.
• Algorithms to generate structures like recursive Icospheres.
• Mouse picking with a custom frame buffer to interact with objects in a 3D scene.

Optimizations

• Instance rendering
• Multithreading (deterministic vs. non-deterministic)
• KD-Tree or Octree spatial partitioning

References

1. Math module by Felipe Ferreira da Silva for working with vectors, matrices, and common mathematical functions.
2. Implementation of KD-Tree spatial partitioning by John Tsiombikas.
3. GLEW for "wrangling" OpenGL functions and GLFW for window management.

Applying/releasing an attractive force w/ the Keyboard

Linking particles into a "Net"

Icosphere which maintains its pressure using Ideal Gas Law

System Specs.

• MacBook Pro (13-inch, M1, 2020)
• Chip - Apple M1
• Memory - 8 GB
• OS - Monterey Version 12.1

I have no idea if this will run on your machine but you're welcome to try by calling make in the root directory followed by ./app