Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions

Some commonly used empirical formulas (e.g., Soviet CHиПII57-75, Ikeno-Tanaka, Führböter-Sparboom, and Stanczak) for estimating plunging breaker wave slamming pressure on sea dike surface do not take into account the comprehensive influence of the wave steepness, slope angle, and breaker height and...

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Main Authors: Yang Xing, Cai Kaixi
Format: Article
Language:English
Published: De Gruyter 2022-12-01
Series:Open Geosciences
Subjects:
Online Access:https://doi.org/10.1515/geo-2022-0445
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author Yang Xing
Cai Kaixi
author_facet Yang Xing
Cai Kaixi
author_sort Yang Xing
collection DOAJ
description Some commonly used empirical formulas (e.g., Soviet CHиПII57-75, Ikeno-Tanaka, Führböter-Sparboom, and Stanczak) for estimating plunging breaker wave slamming pressure on sea dike surface do not take into account the comprehensive influence of the wave steepness, slope angle, and breaker height and depth on the loads, and the Yang formula eliminates the drawback. The Yang formula is derived based on an analysis of the impulse in the breaking wave tongue and the kinetic and potential energy in the wave tongue. But the limited range of the Yang formula is 0.5 ≤ ξ ≤ 3.3 and 0.01 ≤ tan α ≤ 0.44; otherwise, its prediction error will greatly increase. In addition, some parameters in the Yang formula need to be optimized. The aim of this project is to revise the Yang formula for improving its performance and making it suitable for a wider range of hydraulic conditions and bottom slope conditions. A constant term in the Yang formula is replaced by the function obtained by analysis, and the calculation method of breaking wave height in the formula is also changed. The resulting formula is of interest because the comparison of the formula with some measurements is done well.
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spelling doaj.art-cf7b76b9131f4882a94b7fc1f7a6df0a2023-01-19T13:20:29ZengDe GruyterOpen Geosciences2391-54472022-12-011411538154610.1515/geo-2022-0445Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditionsYang Xing0Cai Kaixi1Institute of Rural Water Resources and Soil and Water Conservation, Jiangsu Hydraulic Research Institute, Nanjing 210017, ChinaDepartment of Engineering, Jiangsu Kexing Project Management Co., Ltd, Nanjing 210029, ChinaSome commonly used empirical formulas (e.g., Soviet CHиПII57-75, Ikeno-Tanaka, Führböter-Sparboom, and Stanczak) for estimating plunging breaker wave slamming pressure on sea dike surface do not take into account the comprehensive influence of the wave steepness, slope angle, and breaker height and depth on the loads, and the Yang formula eliminates the drawback. The Yang formula is derived based on an analysis of the impulse in the breaking wave tongue and the kinetic and potential energy in the wave tongue. But the limited range of the Yang formula is 0.5 ≤ ξ ≤ 3.3 and 0.01 ≤ tan α ≤ 0.44; otherwise, its prediction error will greatly increase. In addition, some parameters in the Yang formula need to be optimized. The aim of this project is to revise the Yang formula for improving its performance and making it suitable for a wider range of hydraulic conditions and bottom slope conditions. A constant term in the Yang formula is replaced by the function obtained by analysis, and the calculation method of breaking wave height in the formula is also changed. The resulting formula is of interest because the comparison of the formula with some measurements is done well.https://doi.org/10.1515/geo-2022-0445plunging breakersea dikeslamming pressureempirical formulaprediction error
spellingShingle Yang Xing
Cai Kaixi
Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions
Open Geosciences
plunging breaker
sea dike
slamming pressure
empirical formula
prediction error
title Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions
title_full Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions
title_fullStr Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions
title_full_unstemmed Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions
title_short Limitations of the Yang’s breaking wave force formula and its improvement under a wider range of breaker conditions
title_sort limitations of the yang s breaking wave force formula and its improvement under a wider range of breaker conditions
topic plunging breaker
sea dike
slamming pressure
empirical formula
prediction error
url https://doi.org/10.1515/geo-2022-0445
work_keys_str_mv AT yangxing limitationsoftheyangsbreakingwaveforceformulaanditsimprovementunderawiderrangeofbreakerconditions
AT caikaixi limitationsoftheyangsbreakingwaveforceformulaanditsimprovementunderawiderrangeofbreakerconditions