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Study of beach permeability's influence on solitary wave runup with ISPH method

Accepted version



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Tsurudome, C 
Liang, D 
Shimizu, Y 
Khayyer, A 
Gotoh, H 


Coastal protections, such as dykes, seawalls, breakwaters and natural beaches can often be considered as porous structures. The accurate prediction of wave motion around porous structures is necessary for the effective design of durable coastal protections. Smoothed particle hydrodynamics (SPH) is a meshless particle-based method suitable for the simulations of violent free-surface flows and their interaction with structures. In this paper, an incompressible SPH (ISPH) model is applied to the simulations of solitary wave runup on permeable slopes. The apparent density concept is introduced to allow the smooth particles’ volume to change when shifting between the pure-fluid region and porous region. The present simulations consider both the triangular beaches with uniform permeability and the solid beaches with overlying porous layers. The study focuses on the influence of permeability on the maximum wave runup heights. New runup laws are proposed, which offer guidelines for the design of porous coastal protections.



SPH, ISPH, solitary wave, runup, porous structure, permeability

Journal Title

Applied Ocean Research

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Elsevier BV
Royal Society (IEC\NSFC\191369)
Engineering and Physical Sciences Research Council (EP/P020259/1)
The research is supported by the National Natural Science Foundation of China (No. 51679036), Royal Society (No. IEC/NSFC/191369) and the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service ( funded by EPSRC Tier-2 capital grant EP/P020259/1. We are also thankful to Professor Songdong Shao from the University of Sheffield for sharing with us the original ISPH code and many valuable suggestions.