demos

This is hopefully one repo to manage all the demos I've been accumulating or at least a place to dump the new ones. The goal here is to learn new things and test limits.

These demos are made using regl, plotly.js, and d3.js.

2D Kuramoto-Sivashinsky equation, ∂u/∂t + ∇⁴u + ∇²u + ½ |∇u|² = 0	Periodic 3-body trajectories using RK4(5) Cash-Karp adaptive integration.	Rayleigh-Taylor and Kelvin-Helmholtz hydrodynamic instabilities.
GPGPU Integration of particle geodesics in Schwarzschild spacetime (a black hole!)	Analytical fluid flow over an airfoil using the Kármán–Trefftz transform. Computed and visualized in a single GPU pass.	1M particles interacting as a two-dimensional gravitational continuum
Vortex, rendered as a single signed distance function	Umbilic Torus	Integrating Strange Attractors on the GPU
Minimize the McCormick function using Powell's method with golden section line search.	Chaos via the logistic map: x[n+1] = r*x[n]*(1-x[n])	Motion blur the simple way
Tinkerbell map	Roots of a polynomial with random coefficients	Smooth Life on the GPU
1D diffraction of a wave packet passing within a known range at a known time.	Frequency-domain solution of the 1D Schrodinger Equation with Perfectly Matched Layers (PML)	N-body gravitational trajectories using RK4(5) Cash-Karp adaptive integration.
Classic fluid simulation from Visual Simulation of Smoke.	The Lamb wave dispersion relation in the complex plane	Computing the zeros of a complex analytic function via contour integration
Screen Space Ambient Occlusion (SSAO)	GPGPU Erosion	2D wave equation
Rayleigh waves in an elastic medium	Ultrasonic waves	Flamm's parabaloid (subject to caveats, a representation of curved spacetime around a black hole)
747 (modeled with Wings 3D)	Sailplane (modeled with Wings 3D)	K-means clustering meets Lorenz Attractor
Brachistochrone (curve of fastest descent)	Fresnel reflection	Principle of Least Action
Double-pendulum chaos	Potential flow over a cylinder conformally mapped into an airfoil via the Karman-Trefftz transform	Gaussian Mixture estimation via Expectation Maximization (EM)
Three-Scroll Unified Chaotic System Attractor #2 (TSUCS2)	❄️❄️ Fractals ❄️❄️	Schrodinger
Transfinite interpolation	🕺	Hyperbolic Grid Generation
Carpet plots	GPGPU prefix sum	Catmull-Rom splines
GPU particle simulation	Fun with the SoundCloud API, Part 2: this time with godrays	Fun with the SoundCloud API, Part 1
/*airfoil*/P([rn(0,7,.01). map(i=>(x=111*c(i)-10,y=111 *s(i)+c(t/1e3)*10,$=(x*x+y* y)/1e4,[x+x/$,y-y/$]))]).a( 'd',ln())	Numerical methods for the first-order wave equation	Recursion!

© 2016 Ricky Reusser. MIT License.