Abstract
This chapter introduces the basics of the ARMA (Autoregressive Moving Average) model of short-crested wind waves . The model consists of an autoregressive component for temporal dependence and evolution and a two-dimensional moving average component for spatial dependence and propagation. A brief description of the validation of the model is given with special emphasis on the analysis of the dispersion relationship.
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Acknowledgements
Dr. Degtyarev’s work was supported by RFBR grants N 16-07-00886, 17-29-04288, project of St.Petersburg State University (id 28612502) and US Office of Naval Research Global Visiting Scientist Program under Dr. Woei-Min Lin. Dr. Paul Hess of ONR supported Dr. Reed’s on this effort. This is much appreciated.
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Degtyarev, A.B., Reed, A.M., Mareev, V. (2019). Modeling of Incident Waves Near the Ship’s Hull (Application of Autoregressive Approach in Problems of Simulation of Rough Seas). In: Belenky, V., Spyrou, K., van Walree, F., Almeida Santos Neves, M., Umeda, N. (eds) Contemporary Ideas on Ship Stability. Fluid Mechanics and Its Applications, vol 119. Springer, Cham. https://doi.org/10.1007/978-3-030-00516-0_2
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