Modeling of Incident Waves Near the Ship’s Hull (Application of Autoregressive Approach in Problems of Simulation of Rough Seas)

  • Alexander B. DegtyarevEmail author
  • Arthur M. Reed
  • Vladimir Mareev
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 119)


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.


Autoregressive/moving average model (ARMA) Short-crested waves 



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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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Alexander B. Degtyarev
    • 1
    Email author
  • Arthur M. Reed
    • 2
  • Vladimir Mareev
    • 1
  1. 1.St. Petersburg State UniversitySaint PetersburgRussia
  2. 2.David Taylor Model Basin (NSWCCD)West BethesdaUSA

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