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The effects of dispersion and non-linearity on the simulation of landslide-generated waves using the reduced two-layer non-hydrostatic model

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Abstract

This paper revisits the previously developed NH-2LR (reduced two-layer non-hydrostatic) model. The governing equations and numerical schemes are written in terms of normalized variables, with two dimensionless parameters representing dispersion and non-linearity. By utilizing analytical solutions and laboratory experiments, this study aims to validate the numerical NH-2LR model and investigate the effects of dispersion and non-linearity on the resulting waves. The first validation employs the analytical solution of the linear and fully dispersive model of a landslide moving with constant velocity on a flat bottom. The second validation involves a landslide hump sliding over a constant beach slope. A closer look at the run-up height reveals that this case is non-dispersive. Furthermore, we found that the dispersion effect was evident from the beginning of the wave formation process. Finally, we compare our numerical results to experiments on submarine landslides on sloping beaches. We found that dispersion is essential in the early generation and propagation of waves in off-shore regions. Moreover, non-linearity significantly influences the maximum run-up of landslide-generated waves.

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The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Acknowledgements

This research was carried out as part of Dede Tarwidi’s doctoral dissertation. The author, Dede Tarwidi, acknowledges the Telkom Foundation for its grant of financial support towards his doctoral studies at the Institut Teknologi Bandung.

Funding

This work was supported by the Institut Teknologi Bandung Research Grant 3251/IT1.C02/KU/2023 and the Indonesian Research Grant 007/E5/PG.02.00.PL/2023.

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Author notes

  1. Sri Redjeki Pudjaprasetya and Didit Adytia contributed equally to this work.

Authors and Affiliations

  1. Industrial and Financial Mathematics Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jalan Ganesha No. 10, Bandung, 40132, West Java, Indonesia

    Dede Tarwidi & Sri Redjeki Pudjaprasetya

  2. School of Computing, Telkom University, Jalan Telekomunikasi No. 1 Terusan Buah Batu, Bandung, 40257, West Java, Indonesia

    Dede Tarwidi & Didit Adytia

Authors
  1. Dede Tarwidi
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  2. Sri Redjeki Pudjaprasetya
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  3. Didit Adytia
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Contributions

Dede Tarwidi: Conceptualization, Validation, Visualization, Writting original draft, Review and editing. Sri Redjeki Pudjaprasetya: Conceptualization, Methodology, Review and editing, Funding acquisition. Didit Adytia: Conceptualization, Methodology, Review and editing.

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Correspondence to Dede Tarwidi.

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Tarwidi, D., Pudjaprasetya, S.R. & Adytia, D. The effects of dispersion and non-linearity on the simulation of landslide-generated waves using the reduced two-layer non-hydrostatic model. Comput Geosci 28, 43–64 (2024). https://doi.org/10.1007/s10596-023-10262-x

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