Compressive spectral method for the simulation of the nonlinear gravity waves

Cihan Baylndlr*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)

Abstract

In this paper an approach for decreasing the computational effort required for the spectral simulations of the fully nonlinear ocean waves is introduced. The proposed approach utilizes the compressive sampling algorithm and depends on the idea of using a smaller number of spectral components compared to the classical spectral method. After performing the time integration with a smaller number of spectral components and using the compressive sampling technique, it is shown that the ocean wave field can be reconstructed with a significantly better efficiency compared to the classical spectral method. For the sparse ocean wave model in the frequency domain the fully nonlinear ocean waves with Jonswap spectrum is considered. By implementation of a high-order spectral method it is shown that the proposed methodology can simulate the linear and the fully nonlinear ocean waves with negligible difference in the accuracy and with a great efficiency by reducing the computation time significantly especially for large time evolutions.

Original languageEnglish
Article number22100
JournalScientific Reports
Volume6
DOIs
Publication statusPublished - 25 Feb 2016
Externally publishedYes

Funding

The author wishes to express thanks to Prof. Dr. James T. Kirby for numerous critical comments and discussions. The author thanks the support of the Işık University.

FundersFunder number
Işık University

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