Numerical study of vegetation damping effects on solitary wave run-up using the nonlinear shallow water equations

Wave‐Driven Mean Flow Dynamics in Submerged Canopies

“…Improving predictions of wave-vegetation interactions has been an increasing focus of coastal research over the past decade (e.g., Nepf, 2012), which is often motivated by the desire to quantify the coastal protection services provided by aquatic vegetation (e.g., Borsje et al, 2011;Tang et al, 2013). Attenuation of wave energy due to different species of vegetation has been studied both experimentally (e.g., Fonseca & Cahalan, 1992;Möller et al, 2014) and in the field (e.g., Möller & Spencer, 2002;Paul & Amos, 2011), and analytical models have been developed based on conservation of wave energy to predict wave attenuation across a given aquatic vegetation canopy for both monochromatic (Dalrymple et al, 1984;Kobayashi et al, 1993) and irregular waves (Jacobsen et al, 2019;Mendez & Losada, 2004;Suzuki et al, 2012).…”

Numerical model for coastal wave propagation through mild slope zone in the presence of rigid vegetation

“…Wu and Marsooli (2012) developed a shallow water model for simulating long waves on vegetation zone under breaking and non-breaking conditions, and the numerical results showed that vegetation along the coastal shoreline has a positive benefit in reducing wave run-up on sloping beaches, whereas vegetation in open channels causes conflicting impacts: reducing inundation in the downstream areas, but increasing flood risk in a certain distance upstream. Tang et al (2013) developed a model for investigating the effects of damping due to vegetation on solitary water wave runup, that was based on the nonlinear shallow water equations and its numerical results showed that vegetation can effectively reduce the velocity of solitary wave propagation and that solitary wave run-up is decreased with increases of plant height in water and also diameter and stem density. Ma et al (2013) developed a non-hydrostatic RANS model to investigate wave propagation through a finite patch of vegetation in the surf zone and its numerical results showed that the presence of a finite patch of vegetation may generate strong pressure-driven nearshore currents, with an onshore mean flow in the unvegetated zone and an offshore return flow in the vegetated zone.…”

Large eddy simulation modeling of tsunami-like solitary wave processes over fringing reefs

“…is also one of the coastal defensive measures against the tsunami waves (e.g., Dahdouh-Guebas et al, 2006;Danielsen et al, 2005;Mcadoo et al, 2011). Numerical models have been proven to be powerful tools to investigate tsunami wave interaction with the mangrove forests (e.g., Huang et al, 2011;Maza et al, 2015;Tang et al, 2013, and many others). Comparatively Y. Yao et al: LES modeling of tsunami-like solitary wave processes over fringing reefs speaking, their applications in modeling coral reefs subjected to tsunami waves are still very few.…”

“…Among various approaches for modeling wave dynamics over reefs, two groups of models are the most pervasive. The first group focuses on using the phase-averaged wave models and the nonlinear shallow water equations to model the waves and the flows, respectively, in field reef environments, and typically the concept of radiation stress (Longuet-Higgins and Stewart, 1964) or vortex force (Craik and Leibovich, 1976) is used to couple the waves and the flows (e.g., Douillet et al, 2001;Kraines et al, 1998;Lowe et al, 2009bLowe et al, , 2010Van Dongeren et al, 2013;Quataert et al, 2015). As for modeling tsunami waves at a field scale, we are only aware of Kunkel et al's (2006) implementation of a nonlinear shallow water model to study the effects of wave forcing and reef morphology variations on the wave run-up.…”