Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays

Pudjaprasetya, S. R.; Risriani, Vania Mene; Iryanto,

doi:10.3390/fluids6040146

Cited by 5 publications

(6 citation statements)

References 19 publications

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“…The simulation result (Figure 4a) reveals that the velocity in the middle of the bay is faster than the shallow waters along the coast. This result is supported by previous studies that reported that Palu Bay bathymetry has a parabolic cross-sectional shape [28,29]. It has been understood based on previous research [23] that there are complex nonlinear interactions and energy transfers between ocean wind-waves and the mean flow.…”

Section: Model Of the Average Sea Surface Current Generated By Windsupporting

confidence: 85%

Insight of Numerical Simulation for Current Circulation on the Steep Slopes of Bathymetry and Topography in Palu Bay, Indonesia

Lutfi¹

2021

Fluids

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The steep slope of the bathymetry and topography that surrounds Palu Bay is a unique morphology of the area that affects the currents. A simulation was carried out in three regions with seven scenarios to understand the effect of wind, tide, and discharge on currents. The results showed that the average current pattern in Palu Bay is more dominantly influenced by tides at the open boundary and in the middle of the bay, steered by wind directions. The velocity decreases when it reaches the end of the bay and eventually reverses back to the mouth of the bay through both sides of the bay. The current in the Palu River estuary with a discharge of 36 m3/s moves out of the river mouth. On the other hand, results with a discharge of 2 m3/s revealed that the tidal current in the middle layer to the lower layer moves in the opposite direction to the current generated by the discharge in the layer above. It means that the tidal current velocity is lower than that generated by the river discharge. The computation revealed a good agreement with observed current velocity at the selected observation points.

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Section: Model Of the Average Sea Surface Current Generated By Windsupporting

confidence: 85%

Insight of Numerical Simulation for Current Circulation on the Steep Slopes of Bathymetry and Topography in Palu Bay, Indonesia

Lutfi¹

2021

Fluids

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“…where ∆Ē =Q −2/3 1 ∆Ê. Similarly to the one-layer shallow water model where steady hydraulics can be described as a trajectory of the energy curve, the steady interface of the two-layer model (assuming existence is guaranteed) can be described as a trajectory on the energy difference curve (17). This aspect will be discussed in detail by using specific examples in Sections 4 and 5.…”

Section: Formulation Using Normalized Variablesmentioning

confidence: 99%

“…The scheme can be used to solve problems with rapidly varying flows, such as those involving hydraulic jumps and bores. This scheme has been implemented and extended to various shallow water flow problems, such as in [10,16,17] where it was referred to as the MCS scheme, an abbreviation for the momentum conserving staggered-grid scheme. The extension of the MCS scheme to the two-layer model has been successfully used for the study of internal waves in [18].…”

Section: Numerical Modelmentioning

confidence: 99%

The Momentum Conserving Scheme for Two-Layer Shallow Flows

Swastika

Pudjaprasetya

2021

Fluids

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This paper confronts the numerical simulation of steady flows of fluid layers through channels of varying bed and width. The fluid consists of two immiscible fluid layers with constant density, and it is assumed to be of a one-dimensional shallow flow. The governing equation is a coupled system of two-layer shallow water models. In this paper, we apply a direct extension of the momentum conserving scheme previously used for solving the one layer shallow water equations. Computations of various steady-state solutions are used to demonstrate the performance of the proposed numerical scheme. Under the influence of a given flow rate, the numerical steady interface is generated in a channel topography with a hump. The results obtained confirm the analytic steady interface of the two-layer rigid-lid model. Furthermore, the same scheme was used with an additional artificial damping to simulate the maximal exchange flow in channels of varying width. The numerical steady interface agreed well with the analytical steady solutions.

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“…The outcomes of theoretical predictions for shallow-water waves were validated in the numerical modelling (see e.g. Vlasenko 1987;Choi et al 2008;Pudjaprasetya, Risriani & Iryanto 2021). The important feature of such solutions is that they describe the reflectionless wave propagation when the wave energy is transmitted most effectively through the inhomogeneous zone without energy losses on wave reflection.…”

Section: Introductionmentioning

confidence: 96%

“…Analytical solutions either in the exact or approximate forms are possible in exceptional cases; see e.g. Stoker (1957) and Sretensky (1977) in application to water waves. In these books, exact solutions for small-amplitude surface waves on water of arbitrary depth with a sloping bottom are presented.…”

Section: Introductionmentioning

confidence: 99%

Reflectionless wave propagation on shallow water with variable bathymetry and current

Churilov

Stepanyants

2021

J. Fluid Mech.

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In the linear approximation, we study the one-dimensional problem of reflectionless wave propagation on the surface of a shallow duct with spatially varying water depth, duct width and current. We show that both global and bounded exact solutions describing the reflectionless propagation in opposite directions of long waves of arbitrary shape exist for the particular variations of these parameters. A general analysis of the problem is illustrated by a few solutions constructed for the specific cases of spatial profiles of the flow and wave propagation velocities. The results obtained can be of interest to mitigate the possible impact of waves on ships, marine engineering constructions and human activity in coastal zones.

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Numerical Simulation of Propagation and Run-Up of Long Waves in U-Shaped Bays

Cited by 5 publications

References 19 publications

Insight of Numerical Simulation for Current Circulation on the Steep Slopes of Bathymetry and Topography in Palu Bay, Indonesia

Insight of Numerical Simulation for Current Circulation on the Steep Slopes of Bathymetry and Topography in Palu Bay, Indonesia

The Momentum Conserving Scheme for Two-Layer Shallow Flows

Reflectionless wave propagation on shallow water with variable bathymetry and current

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