A multi-layer non-hydrostatic model for wave breaking and run-up

Ai, Congfang; Jin, Shaohua

doi:10.1016/j.coastaleng.2011.12.012

Cited by 41 publications

(14 citation statements)

References 35 publications

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“…Over the past years, nonhydrostatic models have become an increasingly popular tool to simulate wave‐flow dynamics on a variety of scales. Applications range from the evolution of waves at coastal scales [e.g., Zijlema and Stelling , ; Yamazaki et al ., ; Ma et al ., ; Ai and Jin , ; Cui et al ., ; Wei and Jia , ] to the evolution of tsunami waves at oceanic scales [e.g., Walters , ; Yamazaki et al ., ]. Furthermore, several authors have improved the efficiency of the nonhydrostatic approach [e.g., Bai and Cheung , ; Cui et al ., ].…”

Section: Methodsmentioning

confidence: 99%

Infragravity‐wave dynamics in a barred coastal region, a numerical study

2015

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This paper presents a comprehensive numerical study into the infragravity-wave dynamics at a field site, characterized by a gently sloping barred beach. The nonhydrostatic wave-flow model SWASH was used to simulate the local wavefield for a range of wave conditions (including mild and storm conditions). The extensive spatial coverage of the model allowed us to analyze the infragravity-wave dynamics at spatial scales not often covered before. Overall, the model predicted a wavefield that was representative of the natural conditions, supporting the model application to analyze the wave dynamics. The infragravity-wave field was typically dominated by leaky waves, except near the outer bar where bar-trapped edge waves were observed. Relative contributions of bar-trapped waves peaked during mild conditions, when they explained up to 50% of the infragravity variance. Near the outer bar, the infragravity-wave growth was partly explained by nonlinear energy transfers from short waves. This growth was strongest for mild conditions, and decreased for more energetic conditions when short waves were breaking at the outer bar. Further shoreward, infragravity waves lost most of their energy, due to a combination of nonlinear transfers, bottom friction, and infragravity-wave breaking. Nonlinear transfers were only effective near the inner bar, whereas near the shoreline (where losses were strongest) the dissipation was caused by the combined effect of bottom friction and breaking. This study demonstrated the model's potential to study wave dynamics at field scales not easily covered by in situ observations.

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Section: Methodsmentioning

confidence: 99%

Infragravity‐wave dynamics in a barred coastal region, a numerical study

2015

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“…Zijlema and Stelling, in [24,64,72], propose a multi-layer method based in a layered depth-averaging of the system. A similar procedure has been considered by Ai and Jin (see [4,5]). The main differences reside in the horizontal gradient of the non-hydrostatic pressure component, which is assumed to be independent of the depth at each layer.…”

Section: Introductionmentioning

confidence: 93%

An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves

et al. 2018

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In this paper, we propose a two-layer depth-integrated non-hydrostatic system with improved dispersion relations. This improvement is obtained through three free parameters: two of them related to the representation of the pressure at the interface and a third one that controls the relative position of the interface concerning the total height. These parameters are then optimized to improve the dispersive properties of the resulting system. The optimized model shows good linear wave characteristics up to kH ≈ 10, that can be improved for long waves. The system is solved using an efficient formally second-order well-balanced and positive preserving hybrid finite volume/difference numerical scheme. The scheme consists of a two-step algorithm based on a projection-correction type scheme. First, the hyperbolic part of the system is discretized using a Polynomial Viscosity Matrix path-conservative finite-volume method. Second, the dispersive terms are solved using finite differences. The method has been applied to idealized and challenging physical situations that involve nearshore breaking. Agreement with laboratory data is excellent. This technique results in an accurate and efficient method.

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“…Since the pioneering contributions of Casulli & Stelling (1998) and Stansby & Zhou (1998), the development of nonhydrostatic models for coastal water waves has been the topic of many studies over the past 15 years (Ai & Jin, 2012;Bai & Cheung, 2013;Bradford, 2011;Smit et al, 2014;Wu et al, 2010;Zijlema et al, 2011 and the references therein). By assuming that free-surface elevation is a single-valued function of horizontal positions, which is adequate for numerous ocean and coastal flows and corresponding practical applications, non-hydrostatic models capture the moving free-surface boundary more efficiently than commonly used methods (Ai & Jin, 2012;Casulli & Zanolli, 2002), such as marker and cell method, the volume of fluid method, and level set method.…”

Section: Introductionmentioning

confidence: 99%

“…By assuming that free-surface elevation is a single-valued function of horizontal positions, which is adequate for numerous ocean and coastal flows and corresponding practical applications, non-hydrostatic models capture the moving free-surface boundary more efficiently than commonly used methods (Ai & Jin, 2012;Casulli & Zanolli, 2002), such as marker and cell method, the volume of fluid method, and level set method. The above-mentioned studies show the non-hydrostatic model's ability in resolving many relevant features of coastal water waves, such as dispersion, nonlinearity, shoaling, refraction, diffraction, and even wave breaking and runup.…”

Section: Introductionmentioning

confidence: 99%

“…Their findings show that the computed results well agree with the laboratory data, and the momentum conserved advection scheme is crucial for an accurate simulation of wave breaking and runup. Ai & Jin (2012) used a momentum conservative scheme to discretize the advection terms in momentum equations, which enables the model to efficiently resolve discontinuous flow involving breaking waves and hydraulic jumps.…”

Section: Introductionmentioning

confidence: 99%

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Modelling coastal water waves using a depth-integrated, non-hydrostatic model with shock-capturing ability

Fang

Liu

Zou

2014

Journal of Hydraulic Research

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This paper presents a depth-integrated, non-hydrostatic model for coastal water waves. The shock-capturing ability of this model is its most attractive aspect and is essential for computation of energetic breaking waves and wet-dry fronts. The model is solved in a fraction step manner, where the total pressure is decomposed into hydrostatic and non-hydrostatic parts. The hydrostatic pressure component is integrated explicitly in the framework of the finite volume method, whereas most of the existing models use the finite difference method. The fluxes across the cell faces are computed in a Godunov-based manner through an efficient multi-stage scheme. The flow variables are reconstructed at each cell face to obtain second-order spatial accuracy. Wave breaking is treated as a shock by locally switching off the non-hydrostatic pressure in the wave front. A moving shoreline boundary is also incorporated. The robustness and accuracy of the developed model are demonstrated through numerical tests.

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A multi-layer non-hydrostatic model for wave breaking and run-up

Cited by 41 publications

References 35 publications

Infragravity‐wave dynamics in a barred coastal region, a numerical study

Infragravity‐wave dynamics in a barred coastal region, a numerical study

An Efficient Two-Layer Non-hydrostatic Approach for Dispersive Water Waves

Modelling coastal water waves using a depth-integrated, non-hydrostatic model with shock-capturing ability

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