Setup Plus Swash Stockdon Split Calculator

Stockdon 2006 setup and incident/infragravity swash components plus R2, explicit deepwater inputs and empirical beach branch; not slope-based generic runup heuristic. 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

Wave setup and swash contribute to extreme runup on a beach.

Wave setup and swash contribute to extreme runup on a beach.^{[1, 2]}

This tool separates the Stockdon setup and incident and infragravity swash components before combining them into the two-percent exceedance estimate.

When to use Setup Plus Swash Stockdon Split 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 Setup Plus Swash Stockdon Split Calculator and understand its results

Match the observation interval, units, datum, coordinate signs and model regime.
Enter deepWaterSignificantHeightM, deepWaterWaveLengthM, foreshoreSlope, using the field meanings and rules below, then run the tool.
Read stockdonMeanSetupM, stockdonIncidentSwashM, stockdonInfragravitySwashM, stockdonR2PercentM. 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
deepWaterSignificantHeightM	Deep water significant height m	number	Required
deepWaterWaveLengthM	Deep water wave length m	number	Required
foreshoreSlope	Foreshore slope	number	Required

Require nonnegative significant offshore wave height and foreshore slope, and positive deep-water wavelength. Set r=sqrt(Hs×L0), setup=.35βr, incident=.75βr and infragravity=sqrt(.004)r. Return R2=1.1×(setup+.5×hypot(incident,infragravity)). Zero height returns zeros.

R2=1.1[.35β√(HsL0)+.5√((.75β√(HsL0))²+.004HsL0)]

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

Output field	Meaning	Value type
stockdonMeanSetupM	Stockdon mean setup m	number
stockdonIncidentSwashM	Stockdon incident swash m	number
stockdonInfragravitySwashM	Stockdon infragravity swash m	number
stockdonR2PercentM	Stockdon r2 percent m	number

json

{
  "input": {
    "deepWaterSignificantHeightM": 1,
    "deepWaterWaveLengthM": 100,
    "foreshoreSlope": 0.1
  },
  "output": {
    "stockdonMeanSetupM": 0.35,
    "stockdonIncidentSwashM": 0.7500000000000001,
    "stockdonInfragravitySwashM": 0.6324555320336758,
    "stockdonR2PercentM": 0.9245889639345862
  }
}

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.

Alternative or Complementary methods

For a related step, use Overwash Freeboard Threshold Checker: Freeboard measures the height of a crest above the still-water level. For a complementary comparison, use Breaker Depth Index McCowan Calculator: The breaker-depth index compares observed breaking-wave height with water depth.

References

Setup Plus Swash Stockdon Split Calculator — tool.io
Empirical parameterization of setup, swash, and runup — US Geological Survey

Similar or alternative tools

Overwash Freeboard Threshold Checker
Freeboard measures the height of a crest above the still-water level.
Breaker Depth Index McCowan Calculator
The breaker-depth index compares observed breaking-wave height with water depth.