OBSERVATION CONTRACT
Observation contract
η = Σ A cos(kx − ωt + φ), ω = √(gk tanh kh). No point sources, boundary reflections, wind/current, breaking, or shoreline CFD.
OBSERVATION CHAMBER / ACTIVE
Spectral Wave Surface Field
Combine spectral components on a surface and observe how wavenumber, phase, dispersion, and group velocity shape a moving wave packet.
wave / dispersion
Observation Model
66 / FIELD · DISPERSION
Surface, envelope, spectrum
Read a fixed-depth linear gravity-wave field from one shared model.
The solid trace is surface η, the dashed trace is the narrow-band envelope, and the lower band is the component spectrum.
The field is paused. Use PLAY or STEP to advance time.
- Mode
- SUPERPOSE
- Depth h
- 1.80 m
- Components
- 5 / 8
- Sample cap
- 1,200 / 20,000
DISPERSION READOUT
Readouts
- Wavenumber k
- 0.800 1/m
- Wavelength λ
- 7.854 m
- Angular frequency ω
- 2.77 rad/s
- Phase velocity cp
- 3.46 m/s
- Group velocity cg
- 1.88 m/s
- cg / cp
- 0.54
- Envelope center
- 0.00 m
- Measured speed
- 1.88 m/s
- Linear validity
- PASS · ka 0.03 · a/h 0.02
MODEL CHECKS
Deterministic acceptance
Check the equation and numerical derivative with fixed samples.
| CHECK | VALUE | LIMIT | RESULT |
|---|
WHAT TO WATCH
Read the ratio and packet
SHALLOW drives cg/cp toward 1; DEEP drives it toward 0.5. In SUPERPOSE, the envelope center moves at group velocity.
MODEL NOTE
Browser-local model
Canvas 2D observation with at most 8 components and 20,000 samples. Inputs and images stay local.
OBSERVATION POLICY
This field runs a browser-local spectral wave-surface model. Wavenumbers, phases, calculations, and images are not uploaded. It is not an ocean forecast, sonar, or physical wave measurement.
Route
This chamber belongs to Fields in Motion.
FIELD Back to Fields in Motion Route.