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Volume 7, Issue 4
A Coupled Model for Wave Run-up Simulation

Iryanto & S.R. Pudjaprasetya

East Asian J. Appl. Math., 7 (2017), pp. 728-740.

Published online: 2018-02

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  • Abstract

Simplified models like the shallow water equations (SWE) are commonly adopted for describing a wide range of free surface flow problems, like flows in rivers, lakes, estuaries, or coastal areas. In the literature, numerical methods for the SWE are mostly mesh-based. However, this macroscopic approach is unable to accurately represent the complexity of flows near coastlines, where waves nearly break. This fact prompted the idea of coupling the mesh-based SWE model with a meshless particle method for solving the Euler equations. In a previous paper, a method to couple the staggered scheme SWE and the smoothed particle hydrodynamics (SPH) Euler equations was developed and discussed. In this article, this coupled model is used for simulating solitary wave run-up on a sloping beach. The results show strong agreement with the experimental data of Synolakis. Simulations of wave overtopping over a seawall were also performed.

  • AMS Subject Headings

76M28, 76M10, 76B25

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COPYRIGHT: © Global Science Press

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@Article{EAJAM-7-728, author = {}, title = {A Coupled Model for Wave Run-up Simulation}, journal = {East Asian Journal on Applied Mathematics}, year = {2018}, volume = {7}, number = {4}, pages = {728--740}, abstract = {

Simplified models like the shallow water equations (SWE) are commonly adopted for describing a wide range of free surface flow problems, like flows in rivers, lakes, estuaries, or coastal areas. In the literature, numerical methods for the SWE are mostly mesh-based. However, this macroscopic approach is unable to accurately represent the complexity of flows near coastlines, where waves nearly break. This fact prompted the idea of coupling the mesh-based SWE model with a meshless particle method for solving the Euler equations. In a previous paper, a method to couple the staggered scheme SWE and the smoothed particle hydrodynamics (SPH) Euler equations was developed and discussed. In this article, this coupled model is used for simulating solitary wave run-up on a sloping beach. The results show strong agreement with the experimental data of Synolakis. Simulations of wave overtopping over a seawall were also performed.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.181016.300517b}, url = {http://global-sci.org/intro/article_detail/eajam/10716.html} }
TY - JOUR T1 - A Coupled Model for Wave Run-up Simulation JO - East Asian Journal on Applied Mathematics VL - 4 SP - 728 EP - 740 PY - 2018 DA - 2018/02 SN - 7 DO - http://doi.org/10.4208/eajam.181016.300517b UR - https://global-sci.org/intro/article_detail/eajam/10716.html KW - Smoothed particle hydrodynamics, staggered conservative scheme, solitary wave run-up, wave overtopping. AB -

Simplified models like the shallow water equations (SWE) are commonly adopted for describing a wide range of free surface flow problems, like flows in rivers, lakes, estuaries, or coastal areas. In the literature, numerical methods for the SWE are mostly mesh-based. However, this macroscopic approach is unable to accurately represent the complexity of flows near coastlines, where waves nearly break. This fact prompted the idea of coupling the mesh-based SWE model with a meshless particle method for solving the Euler equations. In a previous paper, a method to couple the staggered scheme SWE and the smoothed particle hydrodynamics (SPH) Euler equations was developed and discussed. In this article, this coupled model is used for simulating solitary wave run-up on a sloping beach. The results show strong agreement with the experimental data of Synolakis. Simulations of wave overtopping over a seawall were also performed.

Iryanto & S.R. Pudjaprasetya. (2020). A Coupled Model for Wave Run-up Simulation. East Asian Journal on Applied Mathematics. 7 (4). 728-740. doi:10.4208/eajam.181016.300517b
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