Staggered Momentum Conservative Scheme For Radial Dam Break Simulation

Magdalena, Ikha; Erwina, Novry; Pudjaprasetya, S. R.

doi:10.1007/s10915-015-9987-5

Cited by 31 publications

(6 citation statements)

References 14 publications

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“…We do this in order to avoid any instability in the scheme. Additionally, according to the Von Neumann stability analysis, the stability condition of numerical scheme (66)-(67) is 0 ≤ gd 0 ∆t ∆x ≤ 1, with d 0 is the flat bottom depth [55,56]. Note that in calculating q n j+1/2 , we need the information of d n j+1/2 .…”

Section: One-dimension (1-d) Schemementioning

confidence: 99%

1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure

et al. 2021

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In this paper, we investigate wave attenuation caused by mangroves as a porous media. A 1-D mathematical model is derived by modifying the shallow water equations (SWEs). Two approaches are used to involve the existing of mangrove: friction term and diffusion term. The model will be solved analytically using the separation of variables method and numerically using a staggered finite volume method. From both methods, wave transmission coefficient will be obtained and used to observe the damping effect induced by the porous media. Several comparisons are shown to examine the accuracy and robustness of the derived numerical scheme. The results show that the friction coefficient, diffusion coefficient and vegetation’s length have a significant effect on the transmission coefficient. Moreover, numerical observation is extended to a 2-D SWEs, where we conduct a numerical simulation over a real bathymetry profile. The results from the 2-D numerical scheme will be validated using the data obtained from the field measurement which took place in Demak, Central Java, Indonesia. The results from this research will be beneficial to determine the characteristics of porous structures used for coastal protection.

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Section: One-dimension (1-d) Schemementioning

confidence: 99%

1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure

et al. 2021

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“…This is a modification of the method earlier used by Magdalena, Erwina & Pudjaprasetya (2015) and is preferred here because the calculation of the advection term is simpler and less costly. Next, the value of h at half-integer indices and the value of p and u at integer indices are computed as…”

Section: Shallow Water Equationsmentioning

confidence: 99%

“…The numerical solution to the two-dimensional SWE was obtained using the finite volume method (FVM) on a staggered grid, which has been shown to be robust, accurate, and inexpensive (Pudjaprasetya & Magdalena, 2014;Magdalena, Rif'atin & Reeve, 2020;Magdalena, Erwina & Pudjaprasetya, 2015). The arising sensor location problem is a nonlinear programming because of the constraints.…”

Section: Introductionmentioning

confidence: 99%

Optimal placement of tsunami sensors with depth constraint

Magdalena

La’lang

Mendoza

et al. 2021

PeerJ Computer Science

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Tsunamis are destructive natural disasters that can cause severe damage to property and the loss of many lives. To mitigate the damage and casualties, tsunami warning systems are implemented in coastal areas, especially in locations with high seismic activity. This study presents a method to identify the placement of near-shore detection sensors by minimizing the tsunami detection time, obtained by solving the two-dimensional shallow water equations (SWE). Several benchmark tests were done to establish the robustness of the SWE model, which is solved using a staggered finite volume method. The optimization problem is solved using particle swarm optimization (PSO). The proposed method is applied to different test problems. As an application, the method is used to find the optimal location of a detection sensor using data from the 2018 Palu tsunami. Our findings show that detection time can be significantly reduced through the strategic placement of tsunami sensors.

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“…The numerical scheme used in this paper has been tested and validated [17][18][19][20] to emulate various fluid phenomena. In this paper, we apply the same numerical method to simulate the wave resonance phenomenon and obtain the natural period.…”

Section: Introductionmentioning

confidence: 99%

Resonant Periods of Seiches in Semi-Closed Basins with Complex Bottom Topography

Magdalena

Karima

Rif'atin

2021

Fluids

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Seiches and resonances are two closely related phenomena that can cause damage to coastal areas. Seiches that occur in a basin at a distinct period named the resonant period may generate resonance when a wave induced by external forces enters the basin and has the same period as the seiches. Studying this period has become essential if we want to understand the resonance better. Thus, in this paper, we derive the resonant period in various shapes of semi-closed basin using the shallow water equations. The equations are then solved analytically using the separation of variables method and numerically using the finite volume method on staggered grid to discover the resonant period for each basin. To validate the numerical scheme, we compare its results against the analytical resonant periods, resulting in a very small error for each basin, suggesting that the numerical model is quite reliable in the estimation of the analytical resonant period. Further, resonant wave profiles are also observed. It is revealed that, in the coupled rectangular basin, the maximum wave elevation is disproportionate to the ratio of the length of the basin, while, in the trapezoidal basin, the ratio of the depth of the basin has no significant impact on the maximum wave elevation.

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Staggered Momentum Conservative Scheme For Radial Dam Break Simulation

Cited by 31 publications

References 14 publications

1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure

1D–2D Numerical Model for Wave Attenuation by Mangroves as a Porous Structure

Optimal placement of tsunami sensors with depth constraint

Resonant Periods of Seiches in Semi-Closed Basins with Complex Bottom Topography

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