Capturing Physical Dispersion Using a Nonlinear Shallow Water Model

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2018-09-01

Author

Kian, Rozita
Horrillo, Juan
Zaytsev, Andrey
Yalçıner, Ahmet Cevdet

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Predicting the arrival time of natural hazards such as tsunamis is of very high importance to the coastal community. One of the most effective techniques to predict tsunami propagation and arrival time is the utilization of numerical solutions. Numerical approaches of Nonlinear Shallow Water Equations (NLSWEs) and nonlinear Boussinesq-Type Equations (BTEs) are two of the most common numerical techniques for tsunami modeling and evaluation. BTEs use implicit schemes to achieve more accurate results compromising computational time, while NLSWEs are sometimes preferred due to their computational efficiency. Nonetheless, the term accounting for physical dispersion is not inherited in NLSWEs, calling for their consideration and evaluation. In the present study, the tsunami numerical model NAMI DANCE, which utilizes NLSWEs, is applied to previously reported problems in the literature using different grid sizes to investigate dispersion effects. Following certain conditions for grid size, time step and water depth, the simulation results show a fairly good agreement with the available models showing the capability of NAMI DANCE to capture small physical dispersion. It is confirmed that the current model is an acceptable alternative for BTEs when small dispersion effects are considered.

Subject Keywords

Nonlinear shallow water equations, NAMI DANCE model, Boussinesq-type equations, Grid size

URI

https://hdl.handle.net/11511/46385

Journal

JOURNAL OF MARINE SCIENCE AND ENGINEERING

DOI

https://doi.org/10.3390/jmse6030084

Collections

Department of Civil Engineering, Article

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Citation Formats

R. Kian, J. Horrillo, A. Zaytsev, and A. C. Yalçıner, “Capturing Physical Dispersion Using a Nonlinear Shallow Water Model,” JOURNAL OF MARINE SCIENCE AND ENGINEERING, pp. 0–0, 2018, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/46385.