Boundary Current Flux Profile Calculator

Integrate independently sampled depth-averaged boundary current flux per offshore station with piecewise-linear flux assumption, not area-cell sum. 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

A boundary-current flux profile combines depth-averaged velocity with water depth at offshore stations.

A boundary-current flux profile combines depth-averaged velocity with water depth at offshore stations.1

Integrating the sampled flux assumes linear flux variation between stations.

When to use Boundary Current Flux Profile 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 Boundary Current Flux Profile Calculator and understand its results

  1. Match the observation interval, units, datum, coordinate signs and model regime.
  2. Enter observedOffshoreStationsM, observedAlongshoreVelocityMSecond, callerLocalEffectiveWaterDepthM, using the field meanings and rules below, then run the tool.
  3. Read boundaryCurrentProfileTransportM3Second. Inspect nested result fields where present, and review unknown records separately from known matches.
  4. Correct any reported input issue and run again. Before using a successful result, check the stated units, signs, reference scope and observation coverage.
Input fieldMeaningValue typeRequirement
observedOffshoreStationsMObserved offshore stations mlist of numberRequired
observedAlongshoreVelocityMSecondObserved alongshore velocity m secondlist of numberRequired
callerLocalEffectiveWaterDepthMCaller local effective water depth mlist of numberRequired

Use at least two aligned samples with nonnegative offshore coordinates strictly increasing, positive depths and signed depth-averaged velocities. Form velocity×depth at each station and integrate these fluxes with trapezoids. This differs from interpolating depth and velocity separately before multiplying.

Q=Σ .5(v_i h_i+v_(i+1)h_(i+1))(x_(i+1)−x_i)

Use the matching field units and the exact boundary, ordering and reference rules above.

Output fieldMeaningValue type
boundaryCurrentProfileTransportM3SecondBoundary current profile transport m3 secondnumber
json
{
  "input": {
    "observedOffshoreStationsM": [
      0,
      1,
      3
    ],
    "observedAlongshoreVelocityMSecond": [
      1,
      2,
      0
    ],
    "callerLocalEffectiveWaterDepthM": [
      2,
      2,
      2
    ]
  },
  "output": {
    "boundaryCurrentProfileTransportM3Second": 7
  }
}

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 Volume Transport Strait Section Calculator: A section transport combines area and signed velocity normal to each sampled cell. For a complementary comparison, use Gulf Stream Transport Reference Lookup: Gulf Stream transport varies with section, depth range and observation period.

References

  1. Boundary Current Flux Profile Calculator — tool.io

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