iTurbo vs Infinomatic

This application performs a Direct Numerical Simulation (DNS) where the Navier-Stokes equations are solved for two dimensional incompressible homogeneous turbulence. These equations are a set of nonlinear partial differential equations. The time stepping is performed with a simple Euler method where the time step is calculated so that the CFL number does not exceeds the given number (should be less than 0.8 otherwise the simulation blows up). The equations are solved in the Fourier space where the calculation of the nonlinear term transforms to a simple multiplication. The main CPU usage is consumed by transforming the vorticity field back and fourth between the Normal space where the time-stepping is performed and the Fourier space where the nonlinear term is calculated.

Explore infinity with Infinomatic — a powerful engine for discovering the beauty of fractal systems. Navigate the Mandelbrot set in real time, zoom deep into intricate structures, and select any point to reveal its corresponding Julia set. Every location opens a new world of patterns, symmetry, and unexpected detail. Features: • Real-time Mandelbrot and Julia rendering • Smooth, responsive deep-zoom navigation • Live Julia previews from selected Mandelbrot points • Automatic guided zoom for continuous exploration • Curated presets and personal bookmarks • Multiple colour palettes, including a colourblind-safe option • Adaptive rendering for smooth performance • Full-quality image sharing • Educational content explaining the mathematics behind fractals • Precision warnings at extreme zoom levels Built with Metal for high-performance rendering on iPhone and iPad, Infinomatic transforms complex mathematics into an intuitive visual journey. Zoom in. Explore deeper. Discover the infinite.