Runup Stockdon Total
Evaluate the empirical Stockdon 2006 general-beach R2 formulation and add supplied still water; not a dune overtopping probability, tsunami model or guaranteed maximum.
Description
Stockdon's empirical R2 relation estimates the 2% exceedance runup level for its beach-wave formulation.
Stockdon's empirical R2 relation estimates the 2% exceedance runup level for its beach-wave formulation. Adding still water gives a total-level scenario.1
Evaluate the empirical Stockdon 2006 general-beach R2 formulation and add supplied still water; not a dune overtopping probability, tsunami model or guaranteed maximum.
When to use Runup Stockdon Total
Use this tool to evaluate the empirical Stockdon 2006 general-beach R2 formulation and add supplied still water; not a dune overtopping probability, tsunami model or guaranteed maximum.
Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.
How to use Runup Stockdon Total and understand its results
- Gather the water, wave, current or profile observations and any supplied calibration constants. Confirm units and the stated coordinate and pressure conventions.
- Enter deepWaterWaveHeightM, deepWaterWavelengthM, foreshoreSlopeTangent, observedStillWaterLevelM using the field table and calculation rules, then run the tool.
- Read stockdonTwoPercentRunupM, modelTotalWaterLevelM. The explanation below defines the units, signs, ordering and any flags or placeholder values.
- If the tool reports an input issue, correct the values and run it again. Apply the stated assumptions when interpreting a successfully returned result.
| Input field | Meaning | Value type; see rules below | Requirement |
|---|---|---|---|
| deepWaterWaveHeightM | Deep water wave height m | number | Required |
| deepWaterWavelengthM | Deep water wavelength m | number | Required |
| foreshoreSlopeTangent | Foreshore slope tangent | number | Required |
| observedStillWaterLevelM | Observed still water level m | number | Required |
Use positive deep-water wavelength, nonnegative height and slope tangent. Evaluate meters of runup and add still-water level on the same datum.2
R2 = 1.1[0.35βsqrt(HL) + 0.5sqrt(HL(0.563β² + 0.004))] Units, indexing, boundary conditions and exceptional cases are defined in the calculation rules above.
| Output field | Meaning | Value type |
|---|---|---|
| stockdonTwoPercentRunupM | Stockdon two percent runup m | number |
| modelTotalWaterLevelM | Model total water level m | number |
{
"input": {
"deepWaterWaveHeightM": 1,
"deepWaterWavelengthM": 100,
"foreshoreSlopeTangent": 0.1,
"observedStillWaterLevelM": 2
},
"output": {
"stockdonTwoPercentRunupM": 0.9247290987152721,
"modelTotalWaterLevelM": 2.924729098715272
}
}Limitations and assumptions
R2 is not a guaranteed maximum, overtopping probability or tsunami model.
Numbers and computed results must be finite; overflow produces an error. Missing required fields, extra fields, wrong value types and violations of the calculation rules are input errors.
Alternative or Complementary methods
Use Wave Setup Superelevation Surf Zone: Integrate steady wave-stress setup increments over supplied interval depths relative to the offshore start; neglects setup feedback on depth, currents and breaking closures. For a complementary task, use Surf Similarity Iribarren Number: Calculate deep-water surf similarity and caller regime bands, with upper band including equality; not a beach safety classification or universal breaker threshold.
Further background: Empirical parameterization of setup, swash, and runup.
References
Similar or alternative tools
- Wave Setup Superelevation Surf Zone
Integrate steady wave-stress setup increments over supplied interval depths relative to the offshore start; neglects setup feedback on depth, currents and breaking closures.
- Surf Similarity Iribarren Number
Calculate deep-water surf similarity and caller regime bands, with upper band including equality; not a beach safety classification or universal breaker threshold.