Author(s): Ben Constance; Valentin Heller

Linked Author(s): Ben Constance, Valentin Heller

Keywords: Kadomtsev-Petviashvili; Korteweg-de Vries; Landslide-tsunamis; Shallow-water waves; Wave decomposition

Abstract: Landslides impacting into bodies of water generate tsunamis which can have disastrous consequences. To better understand the nature of such tsunamis, spectral decomposition techniques are used. By correlating wave spectra with the physical source of the tsunami, predictions may be made about the characteristics of waves which would be generated by future events. By propagating tsunami spectra in time, their behaviour as they develop may be anticipated aiding risk assessment efforts. To this end, the University of Nottingham Insight into Ocean-wave Non-linear Superposition (UNIONS) software package for MATLAB has been developed. UNIONS uses the Inverse Scattering Transform (IST) to perform a nonlinear Fourier transform (NLFT) based on an underlying wave equation. Previous work has shown analysis of laboratory data in one spatial dimension based on the Korteweg–de Vries equation. This article describes the extension of UNIONS to implement an IST based on the Kadomtsev–Petviashvili (KP) equation. This allows the analysis of waves propagating in two spatial dimensions. The mathematics and MATLAB algorithms underpinning this extension to UNIONS are outlined and example outputs are presented. Ongoing work to develop a full KP-based NLFT is also discussed.

DOI: https://doi.org/10.3850/978-90-833476-1-5_iahr40wc-p0404-cd

Year: 2023