iTurbo vs Particle Life

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.

What can simple rules create? Particle Life is a free science laboratory for iPhone and iPad. Change how colorful particles attract and repel one another, then watch clusters and moving patterns emerge. LEARN BY EXPERIMENTING Seven guided experiments invite you to predict, change one variable, observe and explain. Explore attraction, unequal interactions, distance, friction, boundaries, emergence and reactions. Keep predictions and observations alongside your saved worlds. TRY REACTIONS Build bonded structures and add acid particles. When two acids attach to the same structure, its bonds break into loose fragments and the reacting acids become harmless spent particles. Change the number of acids needed, attachment strength and recovery time. Explore this optional toy-chemistry laboratory in 2D and 3D, or follow the new guided experiment, Two acids, one structure. MAKE THE RULES Edit how each species responds to every other species. Adjust attraction, repulsion, interaction distances, particle count, friction and world boundaries. Use exact values, original presets or randomized rules to follow your curiosity. EXPLORE IN 2D AND 3D Add, erase, attract and repel particles with touch tools. Pan, zoom and orbit. Pause, advance one step, inspect a particle or replay a compatible starting arrangement while keeping your edited rules. SAVE YOUR DISCOVERIES Save complete worlds with notes, export and import .particlelife files, and share a still picture through the iOS share sheet. A COMPLETE FREE LABORATORY Every tool and experiment is free. Optional one-time tips support development without unlocking content. No accounts, ads or subscriptions. Simulations and notes stay on your device unless you choose to share them. These are simplified artificial-life and invented toy-chemistry rules, not validated biological or real acid-chemistry models. The particles are not living organisms. Larger populations and demanding settings can slow the simulation. Designed for iPhone and iPad, with portrait and landscape layouts.