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.
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Rayleigh-Taylor and Kelvin-Helmholtz hydrodynamic instabilities.
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GPGPU Integration of particle geodesics in Schwarzschild spacetime (a black hole!)
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Analytical fluid flow over an airfoil using the Kármán–Trefftz transform. Computed and visualized in a single GPU pass.
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1M particles interacting as a two-dimensional gravitational continuum
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Vortex, rendered as a single signed distance function
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Umbilic Torus
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Integrating Strange Attractors on the GPU
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Minimize the McCormick function using Powell's method with golden section line search.
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Chaos via the logistic map: x[n+1] = r*x[n]*(1-x[n])
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Motion blur the simple way
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Tinkerbell map
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Roots of a polynomial with random coefficients
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Smooth Life on the GPU
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1D diffraction of a wave packet passing within a known range at a known time.
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Frequency-domain solution of the 1D Schrodinger Equation with Perfectly Matched Layers (PML)
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N-body gravitational trajectories using RK4(5) Cash-Karp adaptive integration.
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Classic fluid simulation from Visual Simulation of Smoke.
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The Lamb wave dispersion relation in the complex plane
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Computing the zeros of a complex analytic function via contour integration
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Screen Space Ambient Occlusion (SSAO)
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GPGPU Erosion
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2D wave equation
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Rayleigh waves in an elastic medium
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Ultrasonic waves
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Flamm's parabaloid (subject to caveats, a representation of curved spacetime around a black hole)
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747 (modeled with Wings 3D)
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Sailplane (modeled with Wings 3D)
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K-means clustering meets Lorenz Attractor
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Brachistochrone (curve of fastest descent)
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Fresnel reflection
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Principle of Least Action
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Double-pendulum chaos
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Potential flow over a cylinder conformally mapped into an airfoil via the Karman-Trefftz transform
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Gaussian Mixture estimation via Expectation Maximization (EM)
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Three-Scroll Unified Chaotic System Attractor #2 (TSUCS2)
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❄️❄️ Fractals ❄️❄️
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Schrodinger
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Transfinite interpolation
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🕺
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Hyperbolic Grid Generation
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Carpet plots
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GPGPU prefix sum
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Catmull-Rom splines
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GPU particle simulation
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Fun with the SoundCloud API, Part 2: this time with godrays
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Fun with the SoundCloud API, Part 1
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/*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())
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Numerical methods for the first-order wave equation
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Recursion!
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© 2016 Ricky Reusser. MIT License.