Freezing Degree Days Ice Growth Calculator

QualifiedcleariceStefanH²=H0²+C×FDD growthonly,independentC,no snow/whiteice/current/cracksor safeice travel prediction. Actual independent model/unit/frame/epoch/calibration and applicable measurement established;not precise ephemeris,forecast,geodesy operation,identity or safety approval.

Description

A restricted Stefan growth model accumulates clear-ice thickness squared in proportion to freezing degree days.

A restricted Stefan growth model accumulates clear-ice thickness squared in proportion to freezing degree days.1

Initial thickness and an independently calibrated growth coefficient define the conditional result.

When to use Freezing Degree Days Ice Growth Calculator

Use this tool to apply the stated freezing degree days ice growth calculator operation with an explicit input and unit basis.

How to use Freezing Degree Days Ice Growth Calculator and how it works

  1. Establish the measurement basis and units described above.
  2. Enter actualInitialClearIceThicknessMeters, callerIndependentStefanGrowthCoefficientSquareMetersPerDegreeDay, actualAccumulatedFreezingDegreeDays and run the tool.
  3. Read result.value using the output meanings below.
  4. If input is rejected, correct the stated type, range, ordering or alignment issue and rerun; review successful results under the declared convention.
Input fieldMeaningValue typeRequirement
actualInitialClearIceThicknessMetersInitial clear ice thickness meters, on the basis specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm
callerIndependentStefanGrowthCoefficientSquareMetersPerDegreeDayStefan growth coefficient square meters per degree day, on the basis specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm
actualAccumulatedFreezingDegreeDaysAccumulated freezing degree days, on the basis specified in the algorithm.numberrequired; finite; nonnegative; further conditions in the algorithm

Require nonnegative initial meters, coefficient in square meters per degree day and freezing degree days. Take the square root of initial thickness squared plus coefficient times accumulation.

thickness m = √(H₀² + C × FDD)

Apply the declared units, ordering and branch conditions.

Output fieldMeaningValue type
resultObject containing the declared output fields.object
result.valueConditional clear-ice thickness in meters.number
json
{
  "input": {
    "actualInitialClearIceThicknessMeters": 0,
    "callerIndependentStefanGrowthCoefficientSquareMetersPerDegreeDay": 1,
    "actualAccumulatedFreezingDegreeDays": 4
  },
  "output": {
    "result": {
      "value": 2
    }
  }
}

Limitations and assumptions

The output applies the declared operation to the values you supply. Establish the measurement basis, units, coefficients and any caller-selected rules before interpreting it. The tool does not independently collect or verify observations or decide whether a model or reference applies.

Supply explicit required fields with the documented types and dense aligned arrays. Unknown fields, wrong types and nonfinite numbers are rejected. Branch-specific constraints are explained above. A successful false boolean, negative signed difference, empty slice or unresolved tie is distinct from an input error. Very large inputs or outputs may be rejected by shared resource limits.

Alternative or Complementary methods

For a related operation, use White Ice Black Ice Layer Split Calculator. White-ice and black-ice thicknesses can be summarized as fractions of an observed two-layer cover.

For a related operation, use SWE From Snow Density Calculator. Snow water equivalent expresses the water depth corresponding to an observed bulk snow layer.

References

  1. Freezing Degree Days Ice Growth Calculator — tool.io

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