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Article

An Efficient Two-Layer Non-Hydrostatic Model for Investigating Wave Run-Up Phenomena

Faculty of Mathematics and Natural Sciences, Bandung Institute of Technology, Bandung 40132, Indonesia
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Author to whom correspondence should be addressed.
Received: 28 October 2019 / Revised: 23 December 2019 / Accepted: 24 December 2019 / Published: 27 December 2019
(This article belongs to the Section Computational Engineering)
In this paper, we study the maximum run-up of solitary waves on a sloping beach and over a reef through a non-hydrostatic model. We do a modification on the non-hydrostatic model derived by Stelling and Zijlema. The model is approximated by resolving the vertical fluid depth into two-layer system. In contrast to the two-layer model proposed by Stelling, here, we have a block of a tridiagonal matrix for the hydrodynamic pressure. The equations are then solved by applying a staggered finite volume method with predictor-corrector step. For validation, several test cases are presented. The first test is simulating the propagation of solitary waves over a flat bottom. Good results in amplitude and shape preservation are obtained. Furthermore, run-up simulations are conducted for solitary waves climbing up a sloping beach, following the experimental set-up by Synolakis. In this case, two simulations are performed with solitary waves of small and large amplitude. Again, good agreements are obtained, especially for the prediction of run-up height. Moreover, we validate our numerical scheme for wave run-up simulation over a reef, and the result confirms the experimental data. View Full-Text
Keywords: run-up; solitary waves; non-hydrostatic model; two layer system; a staggered finite volume method run-up; solitary waves; non-hydrostatic model; two layer system; a staggered finite volume method
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MDPI and ACS Style

Magdalena, I.; Erwina, N. An Efficient Two-Layer Non-Hydrostatic Model for Investigating Wave Run-Up Phenomena. Computation 2020, 8, 1. https://0-doi-org.brum.beds.ac.uk/10.3390/computation8010001

AMA Style

Magdalena I, Erwina N. An Efficient Two-Layer Non-Hydrostatic Model for Investigating Wave Run-Up Phenomena. Computation. 2020; 8(1):1. https://0-doi-org.brum.beds.ac.uk/10.3390/computation8010001

Chicago/Turabian Style

Magdalena, Ikha, and Novry Erwina. 2020. "An Efficient Two-Layer Non-Hydrostatic Model for Investigating Wave Run-Up Phenomena" Computation 8, no. 1: 1. https://0-doi-org.brum.beds.ac.uk/10.3390/computation8010001

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