One repo to rule them all.
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.
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:
||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|
||Numerical methods for the first-order wave equation||Recursion!|
© 2016 Ricky Reusser. MIT License.