iTurbo vs My Attractor

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.

It Moves! It Zooms! It Rotates! It Does Real-Time 3D! Now you can own your very own Strange Attractor! Keep it in your pocket to play with any time you like. My Attractor is a tool to help visualize the Lorenz and Rössler Strange Attractors, not only in 3D Space, but also over time. You may have seen these attractors as static images tracing a single point on the screen or in print. My Attractor gives you a new perspective of these mathematical objects by animating hundreds of points - each following their own independent path through the attractor - giving a better perspective of how they behave. Strange Attractors are part of the field of study known as Chaos Theory. - Grab and rotate the attractor with your finger to view from any perspective. - Autopilot will fly you around the attractor while it is in motion - Shake your device to reset the points to random initial positions. - Customize the attractors by adjusting the parameters to the formulas - View these attractors as hundreds of independent points flying through the attractor or as a single point tracing a path. A video demonstration can be viewed through my website.