WaveMachine at Home vs ViscousJoukowski

This app is a waveform simulation tool that allows you to intuitively control and observe physical phenomena such as wave propagation, reflection, and superposition (interference) right on your smartphone. You can experience the wave behaviors found in physics textbooks by actually moving them with your own fingertips. 【Key Features】 - Intuitive Wave Generation Simply swipe up and down on the edge of the screen to create pulse waves of any shape and size. - Versatile Boundary Conditions You can set the left and right ends to "Fixed End" (wave reflects inverted), "Free End" (wave reflects upright), or "No Reflection" (wave is absorbed). - Visualization of Incident, Reflected, and Superposed Waves The app color-codes the traveling "Incident Wave," the bouncing "Reflected Wave," and the combined "Superposed Wave." You can see at a glance the exact moment waves interfere to become larger (constructive) or smaller (destructive). - Time Machine Function (Seek Bar & Frame-by-Frame) Pause the wave motion and use the seek bar to freely travel back to past waveforms. Frame-by-frame advance and rewind buttons let you carefully observe and analyze the crucial moments when waves overlap. - Simple Harmonic Motion (SHM) Mode Automatically generate beautiful sine waves with a single button. Ideal for observing continuous waves traveling at a constant period or standing waves created by reflection. - Free Customization Adjust the simulation speed, change the colors of each wave, and use the snapshot feature (which leaves a faint trace of the waveform in the background). 【Recommended For】 - Students studying wave mechanics who want to visually understand wave reflection and interference. - Educators who want to clearly explain wave motion in their classes. - Anyone who wants to relax by watching soothing, undulating waves.

Are you interested in fluid dynamics? Viscous Joukowski simulates the flow around a Joukowski airfoil by solving the two-dimensional incompressible Navier–Stokes equations directly on your device. For teachers, students, and curious aerodynamicists, it provides an interactive way to explore how viscosity changes lift, drag, pressure, boundary layers, separation, and wake formation. Watch vorticity, speed, pressure, and streamlines evolve around the airfoil. Change the angle of attack, thickness, and camber by dragging directly on the flow field, or use precision controls. Adjust the Reynolds number to explore steady flow, separated wakes, starting vortices, and vortex shedding. Surface-pressure curves and aerodynamic-force estimates update as the simulation develops. The app also includes the classical analytical Joukowski potential-flow solution. Overlay it on the computed viscous pressure distribution to see where the ideal textbook model agrees with—or departs from—the Navier–Stokes result. In the potential solution, circulation is selected using the Kutta condition; in the viscous simulation, circulation and the wake develop dynamically from the no-slip flow. All calculations run locally using Apple MLX and GPU-accelerated Fourier methods. No server, account, or cloud computation is required.