Transformation of Water Wave Spectra into Time Series of Surface Elevation
Phelype Haron Oleinik,
Gabriel Pereira Tavares,
Bianca Neves Machado,
Liércio André Isoldi
Affiliations
Phelype Haron Oleinik
Programa de Pós-Graduação em Engenharia Oceânica, Escola de Engenharia, Universidade Federal do Rio Grande, Campus Carreiros. Av. Itália s/n, Km 8, Carreiros, Rio Grande CEP 96201-900, RS, Brazil
Gabriel Pereira Tavares
Programa de Pós-Graduação em Engenharia Oceânica, Escola de Engenharia, Universidade Federal do Rio Grande, Campus Carreiros. Av. Itália s/n, Km 8, Carreiros, Rio Grande CEP 96201-900, RS, Brazil
Bianca Neves Machado
Programa de Pós-Graduação em Matemática Aplicada, Instituto de Matemática e Estatística, Universidade Federal do Rio Grande do Sul, Campus do Vale. Av. Bento Gonçalves, 9500, Prédio 43111, Porto Alegre CEP 91509-900, RS, Brazil
Liércio André Isoldi
Programa de Pós-Graduação em Engenharia Oceânica, Escola de Engenharia, Universidade Federal do Rio Grande, Campus Carreiros. Av. Itália s/n, Km 8, Carreiros, Rio Grande CEP 96201-900, RS, Brazil
Spectral wave modelling is widely used to simulate large-scale wind–wave processes due to its low computation cost and relatively simpler formulation, in comparison to phase-resolving or hydrodynamic models. However, some applications require a time-domain representation of sea waves. This article proposes a methodology to transform the wave spectrum into a time series of water surface elevation for applications that require a time-domain representation of ocean waves. The proposed method uses a generated phase spectrum and the inverse Fourier transform to turn the wave spectrum into a time series of water surface elevation. The consistency of the methodology is then verified. The results show that it is capable of correctly transforming the wave spectrum, and the significant wave height of the resulting time series is within 5% of that of the input spectrum.
