Vector Field vs Pixel Wind Tunnel

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.

Draw a shape. Tap Simulate. Watch real fluid dynamics come alive in pixels. Pixel Wind Tunnel is a 2D fluid simulation app that runs real CFD (Computational Fluid Dynamics) calculations right on your device. No simplified approximations — the app solves the incompressible Navier-Stokes equations using the CIP advection method and Pressure Poisson solver, the same mathematical framework used in professional engineering software. HOW IT WORKS Draw any shape with your finger — airfoils, cars, buildings, anything Tap Simulate Watch the flow develop in real time That's it. Real fluid physics in three steps. SEE THE FLOW Switch between visualization modes to explore different aspects of the physics: • Velocity — where the flow speeds up and slows down • Pressure — high and low pressure regions around your shape • Vorticity — spinning structures and vortex shedding • Streamlines — paths that fluid particles follow MEASURE PERFORMANCE Real-time aerodynamic coefficients calculated from surface pressure and viscous stress integration: • Drag coefficient (Cd) • Lift coefficient (Cl) • Reynolds number Draw two different shapes and compare which one has less drag. Understand why streamlined shapes work better — with real numbers, not guesswork. EXPLORE DEEPER • Place point probes anywhere to track velocity and pressure over time • Scrub through simulation history with the timeline slider • Adjust inlet velocity and viscosity to change flow conditions • Save shapes with screenshots and reload them anytime REAL CALCULATION, NOT AN ANIMATION Every frame you see is computed from the actual Navier-Stokes equations. The CIP (Cubic Interpolated Propagation) method handles advection with minimal numerical diffusion, while the SOR iterative solver resolves the pressure field. Boundary conditions, viscous forces, and flow separation are all physically modeled. FOR CURIOUS MINDS Whether you're a student studying fluid mechanics, an engineer sketching quick ideas, a teacher demonstrating aerodynamics in class, or simply someone who wonders why things are shaped the way they are — draw it and find out.