Description
Return phase velocity and group-minus-phase gap.
Atmospheric dynamics uses signed coordinates, rotating-flow approximations, fluctuation definitions and stability conventions. One advection, shear, vorticity or wave term omits parts of the full equations and need not establish the state or stability of an observed atmosphere.
Return phase velocity and group-minus-phase gap.
When to use this tool
Use Atmospheric Wave Phase Group Gap when evaluating the stated local atmospheric dynamic, turbulence, stability or wave term.
How to use the tool and how it works
- Enter angularFrequency, wavenumber, groupVelocity. Use the units and conventions below.
- Run the tool. Correct any format, range, or cross-field input error before interpreting the output.
- Read phaseVelocity, gap. Use the output convention below.
Return phase velocity and group-minus-phase gap. Require wavenumber != 0; phaseVelocity = angularFrequency/wavenumber, gap = groupVelocity-phaseVelocity.1
| Input field | Meaning and units | Accepted input |
|---|---|---|
| angularFrequency | Angular Frequency | Required. Finite number. |
| wavenumber | Wavenumber | Required. Finite number. |
| groupVelocity | Group Velocity | Required. Finite number. |
| Output field | Interpretation | Returned shape |
|---|---|---|
| phaseVelocity | Phase Velocity | Required. Finite number. |
| gap | Signed difference under the stated comparison convention, with matching units. | Required. Finite number. |
{
"input": {
"angularFrequency": 10,
"wavenumber": 2,
"groupVelocity": 3
},
"output": {
"phaseVelocity": 5,
"gap": -2
}
}Limitations and assumptions
- Angular frequency requires angular wavenumber for compatible velocity units; no dispersion relation, observed wave or propagation safety is determined.
- Inputs must satisfy both the field types and the cross-field conditions above. Invalid input causes an error; a successful false flag or documented placeholder is a different result.
- Numeric calculations use binary floating point unless exact decimal-integer arithmetic is explicitly stated. No hidden measurement tolerance or decimal rounding is added; nonfinite or out-of-contract results are rejected. Numeric signed-zero results are exported as zero.
Alternative or Complementary methods
Use complete verified fields and an appropriate dynamical model, including coordinate directions, omitted terms and approximation validity, for physical or forecast interpretation.
References
Similar or alternative tools
- Gravity Wave Intrinsic Frequency Shift
Return intrinsic wave frequency after Doppler correction.
- Turbulent Flux Instantaneous Covariance Term
Multiply supplied signed velocity and scalar fluctuations for one unaveraged turbulent covariance contribution.