Velocity Fields in Near-Bottom and Boundary Layer Flows in Prebreaking Zone of a Solitary Wave Propagating over a 1:10 Slope

Lin, Chang; Yeh, Ping Hung; Kao, Ming Jer; Yu, Min; Hsieh, S. C.; Chang, Sung Chen; Wu, Tso-Ren; Tsai, Ching‐Piao

doi:10.1061/(asce)ww.1943-5460.0000269

Cited by 22 publications

(12 citation statements)

References 34 publications

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“…As indicated by Grilli et al [6], with more emphasis on the slope effect, the features of free surface elevation and global velocity field during the run-up and run-down phases reported in Hwung et al [17] for S 0 = 1:20, Lin et al [15,16] for S 0 = 1:10 and 1:5, and Higuera et al [19] for S 0 = 1:3 demonstrated were fairly different. At this juncture, it is pertinent to mention that neither the detailed mechanism for the incipient flow separation nor a complete evolution of the vortex structure and associated velocity field during the entire run-down phase has been elucidated in these studies to date.…”

Section: Introductionmentioning

confidence: 89%

“…Figure 8b shows the profiles of u(y*), obtained at four different shoreward distances x (= 0.9487X) for t = 0.655 s, as illustrated in Figure 8a, with four vertical lines each having a circled number (from 1 to 4 ), and y* = y − x/3. It is found that, at the most shoreward distance of x = 19.94 cm (X = 21.02 cm), the u(y*) profile exhibits quasi-linear distribution approximately, except that in the bottom boundary layer (Lin et al [15,27]). However, as the shoreward distance decreases, the distribution of u(y*) is more toward uniform (but excludes that close to the bottom).…”

Section: General Description Of Run-up and Run-down Process Of Solitamentioning

confidence: 99%

“…The boundary layer thickness δ 0 and the maximum free stream velocity (u ∞ ) max , both taking place at t' = 0 s (T' = 0), are used as the representative length and velocity scales, respectively. Herewith, the time-dependent boundary layer thickness, δ(t'), is defined as the distance from the bottom surface to the position where the horizontal velocity u(t') at the edge of boundary layer is equal to 0.99u ∞ (t') at y' = δ(t') (Lin et al [15,27]; and Sumer et al [33]). It can be clearly witnessed from Figure 3c,d that the HSPIV data coincide very well with those measured by fiber-optic laser Doppler velocimetry for all of the five time instants, strongly highlighting satisfactory agreements between these two techniques of measurements.…”

Section: Test For Viscous Effect Of Two Sidewalls On Attenuation Of Imentioning

confidence: 99%

“…Based on the interpretation mentioned above, two non-dimensional profiles for the velocity distributions U(Y) are proposed: One for the wall jet flow and the other for the shear layer flow. [15,16] for S 0 = 1:5 and 1:10, and Hwung et al [17] for S 0 = 1:20 have been included to highlight no effect of H 0 /h 0 and S 0 on these two unique profiles.…”

Section: Similarity Profiles For Velocity Distributions At Core Sectimentioning

confidence: 99%

“…Recently, Lin et al [14] employed a high-speed PIV (hereafter named HSPIV, for the framing rate no less than 1000 Hz) with a resolution of 1024 × 1024 pixel to investigate spatial variation of the maximum onshore/offshore velocity in the external flows during the run-up/run-down stage of solitary waves traveling over a 1:10 sloping bottom. To observe, qualitatively, the flow separation and separated shear layer generated from a 1:10 sloping bottom during run-down stage of the solitary wave motion, Lin et al [15] employed thin-layered fluorescent dye. Further, Lin et al [16] used HSPIV measurement and the particle trajectory method to present an evolution of a solitary wave propagating over a 1:5 sloping bottom.…”

Section: Introductionmentioning

confidence: 99%

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Evolution of Velocity Field and Vortex Structure during Run-Down of Solitary Wave over Very Steep Beach

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Wong

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An experimental results on the spatio-temporal variation of velocity field and vortex structure, generated from the separated boundary layers on the offshore side of the still-water shoreline, during the run-down process of non-breaking solitary waves over a 1:3 sloping beach are presented. Three waves having the incident wave-height to water-depth ratios (H0/h0) of 0.363, 0.263, and 0.171 were generated in a wave flume. Two flow visualization techniques and high-speed particle image velocimetry were employed. The primary topics and new findings are: (1) Mechanism of the incipient flow separation, accompanied by formation of the separated shear layer from the beach surface, is elucidated under the adverse pressure gradient, using the fine data of velocity measurements very close to the sloping boundary. (2) Occurrence of hydraulic jump subsequently followed by development of the tongue-shaped free surface and projecting jet is demonstrated through spatio-temporal variation in the Froude number. It is confirmed by a change in the Froude number from supercritical to subcritical range as the free surface rapidly rises from the onshore to offshore side. (3) A complete evolution of the primary vortex structure (including the core position, vortex size, and velocity distribution passing through the vortex core) is first introduced systematically, together with the illustration of temporal variation in the topological structure. The non-dimensional shoreward distance of the vortex core section decreases with the increase in the non-dimensional time. However, the non-dimensional size height of the primary vortex increases with increasing non-dimensional time. (4) Two universal similarity profiles for both the wall jet flow and the shear layer flow demonstrate independency of the two similarity profiles of the wave-height to water-depth ratio and the beach slope. The similarity profiles indicate the promising collapse of the data from three previous studies for 1:20, 1:10, and 1:5 sloping beaches.

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Section: Introductionmentioning

confidence: 89%

Section: General Description Of Run-up and Run-down Process Of Solitamentioning

confidence: 99%

Section: Test For Viscous Effect Of Two Sidewalls On Attenuation Of Imentioning

confidence: 99%

Section: Similarity Profiles For Velocity Distributions At Core Sectimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Evolution of Velocity Field and Vortex Structure during Run-Down of Solitary Wave over Very Steep Beach

Lin

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Kao

et al. 2018

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A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling

Paulsen

Kalisch

2021

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In this article, we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg–de Vries (KdV) equation. These quantities can be used to describe the shoaling of cnoidal waves approaching a gently sloping beach. The transformation of these waves along the slope can be described using the shoaling equations, a set of three nonlinear equations in three unknowns: the wave height H, the set-down $${\bar{\eta }}$$ η ¯ and the elliptic parameter m. We define a numerical algorithm for the efficient solution of the shoaling equations, and we verify our shoaling formulation by comparing with experimental data from two sets of experiments as well as shoaling curves obtained in previous works.

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Numerical modeling of flow and morphology induced by a solitary wave on a sloping beach

Fuhrman

2019

Applied Ocean Research

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Velocity Fields in Near-Bottom and Boundary Layer Flows in Prebreaking Zone of a Solitary Wave Propagating over a 1:10 Slope

Cited by 22 publications

References 34 publications

Evolution of Velocity Field and Vortex Structure during Run-Down of Solitary Wave over Very Steep Beach

Evolution of Velocity Field and Vortex Structure during Run-Down of Solitary Wave over Very Steep Beach

A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling

Numerical modeling of flow and morphology induced by a solitary wave on a sloping beach

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