Brunt Vaisala Ocean Stability Calculator
Ocean N² with depth positive DOWN and independently reference-matched potential density, unstable negativeN² retained without square root. Caller independently establishes units, regime, calibration and applicability; this does not establish design-code compliance, authenticity, operational safety, treatment efficacy or a validated forecast.
Description
The squared Brunt–Väisälä frequency describes stratification in a matched density profile.
The squared Brunt–Väisälä frequency describes stratification in a matched density profile.1
With depth positive downward, a negative value represents an unstable gradient under the stated model.
When to use Brunt Vaisala Ocean Stability Calculator
Use this tool to calculate or review the supplied observations under the stated rules. Match the observation interval, units, datum, coordinate signs and model regime.
How to use Brunt Vaisala Ocean Stability Calculator and understand its results
- Match the observation interval, units, datum, coordinate signs and model regime.
- Enter observedDepthsPositiveDownM, callerMatchedPotentialDensitiesKgM3, gravityMSecond2, referenceDensityKgM3, using the field meanings and rules below, then run the tool.
- Read signedLayerBuoyancyFrequencySquaredSecond2. Inspect nested result fields where present, and review unknown records separately from known matches.
- Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
| Input field | Meaning | Value type | Requirement |
|---|---|---|---|
| observedDepthsPositiveDownM | Observed depths positive down m | list of number | Required |
| callerMatchedPotentialDensitiesKgM3 | Caller matched potential densities kg m3 | list of number | Required |
| gravityMSecond2 | Gravity m second2 | number | Required |
| referenceDensityKgM3 | Reference density kg m3 | number | Required |
Require at least two aligned samples, nonnegative depths strictly increasing, positive potential densities and positive reference density and gravity. Compute adjacent density secants and multiply by g/referenceDensity. Keep signed N²; no square root is taken.
N²_i=(g/ρ_ref)(ρ_(i+1)−ρ_i)/(z_(i+1)−z_i) Use the matching field units and the exact boundary, ordering and reference rules above.
| Output field | Meaning | Value type |
|---|---|---|
| signedLayerBuoyancyFrequencySquaredSecond2 | Signed layer buoyancy frequency squared second2; preserve the subtraction order and sign defined in the mechanics | list of number |
{
"input": {
"observedDepthsPositiveDownM": [
0,
10,
30
],
"callerMatchedPotentialDensitiesKgM3": [
1000,
1001,
1000
],
"gravityMSecond2": 10,
"referenceDensityKgM3": 1000
},
"output": {
"signedLayerBuoyancyFrequencySquaredSecond2": [
0.001,
-0.0005
]
}
}Limitations and assumptions
The stated observation or model covers only the supplied record and reference regime. It does not fill missing measurements, supply uncertainty estimates or produce a validated forecast.
Missing required fields, unknown fields, wrong types and violated rules return input issues. Numeric values and outputs must be finite. Lists and matrices must be dense, without missing cells. Numeric lists allow at most 10000 entries; ordinary string lists allow at most 128 strings of 128 UTF-16 units each; numeric matrices allow at most 128 rows and 128 columns, subject to narrower requirements above.
Alternative or Complementary methods
For a related step, use Potential Density Sigma Theta Calculator: Potential density evaluates a parcel at its potential temperature and a chosen reference pressure. For a complementary comparison, use SOFAR Axis Depth Lookup: A SOFAR axis is associated with a sound-speed minimum in a water column.
References
-
Brunt Vaisala Ocean Stability Calculator — tool.io
Similar or alternative tools
- Potential Density Sigma Theta Calculator
Potential density evaluates a parcel at its potential temperature and a chosen reference pressure.
- SOFAR Axis Depth Lookup
A SOFAR axis is associated with a sound-speed minimum in a water column.