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ENGAGE THE LAB

Open Wave · Fluid Dynamics

Flow · How does coherent structure evolve in a fluid?

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Wave · live fluid dynamics lab

Wave · live fluid dynamics lab

Purpose

Wave is the Mathematical City’s interactive fluid-dynamics laboratory. Choose a flow scene, inject vorticity by dragging, and inspect how the displayed structure changes with viscosity and kernel contraction.

Start here

  1. Select a scene: Kelvin–Helmholtz, Taylor–Green, Vortex pair, Quad dipole, Isotropic decay, or Forced cascade.
  2. Drag across the canvas to inject vorticity. Pause or reset to inspect and restart the scene.
  3. Switch between Dye, Vorticity, Speed, and Coherence.
  4. Toggle Kernel lock and vary Viscosity and Contraction. Follow the readouts and the energy spectrum.

Controls and observables

Interface Available values
Scenes Kelvin–Helmholtz · Taylor–Green · Vortex pair · Quad dipole · Isotropic decay · Forced cascade
Display modes Dye · Vorticity · Speed · Coherence
Controls Pause · Reset scene · Open atlas · Kernel lock · Viscosity · Contraction
Readouts Energy · Enstrophy · Re · Leakage · Ω · Ω − Ωc · spectrum E(k)
Displayed defaults Kelvin–Helmholtz · Dye · Kernel lock on · viscosity 0.00045 · contraction 0.55

Declared computational model

The deployed interface describes a periodic 128 × 128 spectral two-dimensional Navier–Stokes simulation with Helmholtz projection and a Kartekeya kernel-lock control. Its displayed reference is $\Omega_c=47/125=0.376$, and the spectrum marks $\sqrt{47/125}$.

Evidence class: E2 simulation. This page records the deployed interface and its declared model. A numerical implementation certificate and a runtime trajectory export are separate records; neither was supplied with this link.

Place in the City

Wave is lab 07 in the eight-lab public Octet. It supplies the controlled evolution / perturbation stage between a Mnemosyne-bound Horizon forecast and Identity’s persistence test.