Vector Field vs iTurbo3D

Vector Field lets you create and visualize mathematical vector fields with thousands of animated particles. Enter your own equations, adjust the simulation instantly, and watch how particles move through 2D, 3D, or spherical spaces. Whether you are studying differential equations, experimenting with dynamical systems, teaching vector calculus, or simply exploring mathematical patterns, Vector Field turns equations into interactive motion. Features: • Visualize vector fields in 2D, 3D, and on a sphere • Define custom dx, dy, and dz equations using x, y, z, and time t • Use built-in function presets or save your own • Adjust particle speed, density, lifetime, colors, and ranges • Animate time-dependent fields • Normalize vectors to focus on direction • Rotate 3D views interactively • Powered by Metal for smooth real-time rendering • Create, tweak, and discover vector fields directly from your device.

iTurbo 3D brings interactive three-dimensional turbulence simulation to iPhone. A pseudo-spectral incompressible Navier-Stokes solver evolves the velocity field while a Metal volume ray marcher displays the flow as it develops. Explore the volume using touch controls: drag to orbit, pinch to zoom, and double-tap to restore the camera. Switch between vorticity, Q-criterion, kinetic energy, and helicity, with a selection of scientific colormaps and light or dark backgrounds. Configure Taylor-Green or random turbulence, choose a 32 cubed, 64 cubed, or 128 cubed grid, set the Reynolds number, and adjust forcing. Higher grid resolutions reveal finer structures while using progressively more memory and processing power. Pause, resume, advance one step, or reset the simulation from the bottom toolbar. Live status values show the time step, iteration, simulation time, step rate, energy, and enstrophy. Expand the diagnostics to inspect energy history and the energy spectrum. Whether you are teaching fluid mechanics, studying turbulence, or simply enjoy computational physics, iTurbo 3D turns the equations of motion into something you can see and explore directly on iPhone.