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A Coupled Model for Wave Run-up Simulation

Part of: Basic methods in fluid mechanics Incompressible inviscid fluids

Published online by Cambridge University Press:  31 January 2018

Iryanto  and
S.R. Pudjaprasetya
Iryanto*
Affiliation:
Informatics Department, Politeknik Negeri Indramayu, Indramayu, Indonesia
S.R. Pudjaprasetya*
Affiliation:
Mathematics Department, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Bandung, Indonesia
*
*Corresponding author. Email addresses:iryanto.math@yahoo.com (Iryanto), sr_pudjap@math.itb.ac.id (S. R. Pudjaprasetya)
*Corresponding author. Email addresses:iryanto.math@yahoo.com (Iryanto), sr_pudjap@math.itb.ac.id (S. R. Pudjaprasetya)
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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.

Keywords

Smoothed particle hydrodynamicsstaggered conservative schemesolitary wave runupwave overtopping

MSC classification

Secondary: 76M28: Particle methods and lattice-gas methods 76M10: Finite element methods 76B25: Solitary waves
Type
Research Article
Information
East Asian Journal on Applied Mathematics , Volume 7 , Issue 4 , November 2017 , pp. 728 - 740
Copyright
Copyright © Global-Science Press 2017 

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