Gaussian Pulses over Random Topographies for the Linear Euler Equations

Authors

DOI:

https://doi.org/10.5540/tcam.2024.025.e01766

Keywords:

Water waves, topography, Euler equations

Abstract

This study investigates numerically the interaction between a Gaussian pulse and variable topography using the linear Euler equations. The impact of topography variation on the amplitude and behavior of the wave pulse is examined through numerical simulations and statistical analysis. On one hand, we show that for slowly varying topographies, the incoming pulse almost retains its shape, and little energy is transferred to the small reflected waves. On the other hand, we demonstrate that for rapidly varying
topographies, the shape of the pulse is destroyed, which is different from previous studies.

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Published

2024-04-30

How to Cite

Flamarion, M. V., & Ribeiro-Jr, R. (2024). Gaussian Pulses over Random Topographies for the Linear Euler Equations. Trends in Computational and Applied Mathematics, 25(1), e01766. https://doi.org/10.5540/tcam.2024.025.e01766

Issue

Vol. 25 No. 1 (2024)

Section

Original Article

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