2D and 3D Physics Engines

Rapier is a cross-platform physics engine and rigid body dynamics solver designed for 2D and 3D simulations. It functions as a collision detection system and a robotics simulation framework, providing a consistent API for calculating physical interactions across different environments. The engine distinguishes itself with specialized robotics capabilities, including a toolkit for importing URDF and STL models to control multibody chains. It supports precise mechanical movement through inverse kinematics calculations and the application of PID controllers for dynamic body control. The simulat

Matter-js is a 2D rigid body physics engine written in JavaScript for simulating realistic physical interactions, collisions, and dynamics in web browsers. It functions as a web physics simulation library that calculates motion, gravity, and constraints for objects rendered on a web canvas. The library includes a built-in canvas physics visualizer to draw physical bodies, joints, and constraints for debugging and gameplay. It distinguishes itself through a plugin system that supports recursive dependency resolution and internal method patching to inject custom logic into the engine's executio

MuJoCo is a physics simulation engine designed for the dynamics of multi-joint articulated structures. It provides a computational framework for calculating the forces, velocities, and physical interactions of complex models within a virtual environment, supporting research in robotics, biomechanics, and machine learning. The engine utilizes a constraint-based dynamics solver and recursive algorithms to manage the motion of articulated systems. It includes a native graphical interface for real-time visualization, allowing users to inspect physical behaviors and contact dynamics as they occur.

Cyclone Physics is a three-dimensional rigid body physics engine designed for game development. It provides a framework for simulating the motion, rotation, and physical interactions of solid objects by applying fundamental laws of mechanics. The library utilizes discrete time integration to update object positions and velocities across fixed intervals. It manages complex scenes through a bounding volume hierarchy and employs impulse-based collision resolution to maintain momentum during contact. To handle simultaneous interactions, the engine uses an iterative velocity solver that repeatedly

Coffee-Physics is a lightweight physics engine designed for two-dimensional particle simulation within web environments. It provides a framework for managing the movement and physical interactions of individual objects across a coordinate system, utilizing a collection of mathematical functions to calculate trajectories and collision responses. The library employs Verlet-based integration to maintain stability by tracking coordinate history, avoiding the need for explicit velocity or acceleration variables. It enforces deterministic behavior through fixed-step time stepping, which ensures con

Avian is a 2D physics engine and rigid body dynamics simulator designed to calculate physical motion using mass, forces, and velocity. It provides a framework for simulating rigid body dynamics, collision detection, and joint constraints for games and applications. The engine utilizes a modular physics pipeline with a plugin-based architecture, allowing for the customization of simulation fidelity settings and the extension of collision backends. It includes a specialized kinematic character controller for implementing entity movement and sliding behavior against physical geometry. The syste

JoltPhysics is a high-performance C++ physics engine designed for multi-threaded simulation of 3D rigid bodies and soft bodies. It serves as a deterministic simulation framework, ensuring identical results across different platforms and architectures to support networked synchronization. The engine distinguishes itself through a focus on concurrent execution across multiple CPU cores to handle large numbers of active bodies. It provides specialized systems for vehicle physics, including wheeled and tracked models, as well as soft body physics for deformable objects and cloth. The simulation

cannon.js is a JavaScript 3D physics engine designed for calculating rigid body dynamics and collisions in three-dimensional space. It functions as a rigid body dynamics engine that models mass, friction, and velocity to determine object movement, while providing a mathematical framework for applying physical constraints and joints. The engine supports a variety of collision volumes, including spheres, boxes, convex polyhedrons, heightfields for terrain simulation, and complex triangle meshes. It provides tools for identifying intersections between these shapes and calculating the exact areas

Box2D is a 2D physics engine and rigid body simulator designed to compute collisions, forces, and joints in a two-dimensional plane. It functions as a collision detection library and a constraint-based physics solver that calculates the movement and interaction of solid objects using mass, friction, and restitution properties. The engine ensures consistency across different hardware architectures through a deterministic trigonometry implementation. It prevents high-speed objects from passing through boundaries using continuous collision detection and time-of-impact interpolation. The system

KawaiiPhysics is an Unreal Engine physics plugin that provides a skeletal mesh simulation tool for calculating pseudo-physics bone sway. It is designed to create natural movement for hair and clothing by controlling bone rotation based on stiffness and damping without requiring a full rigid body physics engine. The system features a character physics constraint framework and a runtime controller that allows for the dynamic adjustment of simulation parameters and external forces. It utilizes data-asset preset management to ensure consistent physics behavior across different characters and obje

planck.js is a 2D rigid body physics engine for JavaScript and HTML5, based on Box2D. It provides a framework for simulating physical interactions and calculating the motion of solid objects within a two-dimensional virtual environment. The engine is designed for cross-platform web gaming, enabling the implementation of rigid body dynamics across different web browsers and devices. The library manages simulation through a constraint-based physics solver and rigid body state management. It utilizes iterative impulse resolution, semi-implicit Euler integration, and dynamic AABB tree partitioni

LiquidFun is a 2D physics engine and game physics framework designed to calculate movement and collisions for rigid bodies and particle systems. It functions as a simulation tool for integrating real-time physical interactions and dynamics into interactive applications. The framework specifically provides a particle-based fluid simulator to model liquid dynamics, including splashing, displacement, and surface tension. It also includes a soft body physics simulator for creating deformable and elastic objects that react to physical forces. The engine covers a broad range of physical interactio