Joint Distribution of Short-Term Waves Height and Period Based on Wallops Spectrum

doi:10.16183/j.cnki.jsjtu.2024.477

Abstract

Abstract:

To accurately predict the joint distribution of short-term wave height and period, this paper proposes a new model based on the conditional probability approach. In this model, wave height follows a two-parameter Weibull distribution, while the conditional period distribution is characterized by a log-normal distribution. To incorporate the influence of wave spectral shape, the broad-width Wallops spectrum is adopted, and the corresponding model parameters are derived. Simulations are conducted using both the Wallops spectrum and measured wave spectra as target spectra to obtain the wave height-period joint distribution. Taking the simulated data as a benchmark, the proposed model is compared with five commonly used joint distribution models. Additionally, the wave height and period distributions are analyzed, with the sources of prediction errors discussed. The results indicate that the model proposed closely matches the simulated data for both Wallops and measured spectra, whereas the other five models only perform well in specific cases. Moreover, this model takes an explicit closed-form expression, making it applicable to non-Gaussian wave conditions.

Key words: wave spectrum, joint distribution of wave height and period, short-term waves, spectral width parameter, distribution of wave height, distribution of wave period

CLC Number:

P751

MA Yongliang, CHEN Wei, HAN Chaoshuai, ZHANG Yingming, CHEN Xiaokang. Joint Distribution of Short-Term Waves Height and Period Based on Wallops Spectrum[J]. Journal of Shanghai Jiao Tong University, 2026, 60(3): 377-386.

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模型	m=4.4, ν= 0.5265	m=5, ν= 0.4247	m=7, ν= 0.2805	m=9, ν= 0.2218
CNEXO模型	0.4189	0.3450	0.1920	0.1563
孙模型	0.1501	0.1343	0.1044	0.0907
修正的孙模型	0.1794	0.1560	0.1143	0.0969
Zhang-Soares模型	0.1572	0.1486	0.1326	0.1282
Tayfun模型	0.1971	0.1748	0.1343	0.1199
新模型	0.0601	0.0551	0.0567	0.0555

模型	46059站 01:40 ν=0.5265	46059站 03:40 ν=0.4380	46028站 15:50 ν=0.3544
CNEXO模型	0.2386	0.2401	0.1985
孙模型	0.1405	0.1398	0.1396
修正的孙模型	0.1563	0.1581	0.1549
Zhang-Soares模型	0.1542	0.1547	0.1486
Tayfun模型	0.1900	0.1767	0.1555
新模型	0.0454	0.0606	0.0855