First- and Second-Order Flux Difference Splitting Schemes for Dam-Break Problem

Jha, Akhilesh Kumar; Akiyama, Juichiro; Ura, Masaru

doi:10.1061/(asce)0733-9429(1995)121:12(877)

Cited by 63 publications

(30 citation statements)

References 15 publications

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“…Each plane section was 8 m long, with slopes of 0.02, 0.015 and 0.01 in the downstream direction. In the most difficult scenario to simulate, each section received constant lateral inflows of 389, 230 and 288 cm h − 1 respectively, for a duration of 10 s. Figure 2 shows the model-predicted outflow hydrograph compared with the experimental results produced with Dx = 0.25 m and Dt = 0.05 s. In this experiment, a shock wave is produced, which arrives at the downstream end of the cascade at approximately 25 s; the developed model reproduces these results well considering the potential experimental errors, such as non-uniform lateral inflow [25], and better than other published analytical and numerical methods [2,26,27]. Here, Manning's equation was used to compute friction slope, with a friction coefficient of 0.009.…”

Section: Comparati6e Examplesmentioning

confidence: 79%

“…The one-dimensional dam break problem comprising the second comparative has been previously reported [25]. In this problem, a shock wave develops due to the instantaneous break of a 'dam' at x = 1000 m, with the height of water on one side equal to 10 m, and the height of water on the other side equal to 5 m. The channel bed is assumed to be horizontal and frictionless.…”

Section: Comparati6e Examplesmentioning

confidence: 99%

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A numerical method for simulating discontinuous shallow flow over an infiltrating surface

Fiedler

Ramı́rez

2000

Int. J. Numer. Meth. Fluids

136

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A numerical method based on the MacCormack finite difference scheme is presented. The method was developed for simulating two-dimensional overland flow with spatially variable infiltration and microtopography using the hydrodynamic flow equations. The basic MacCormack scheme is enhanced by using the method of fractional steps to simplify application; treating the friction slope, a stiff source term, point-implicitly, plus, for numerical oscillation control and stability, upwinding the convective acceleration term. A higher-order smoothing operator is added to aid oscillation control when simulating flow over highly variable surfaces. Infiltration is simulated with the Green -Ampt model coupled to the surface water component in a manner that allows dynamic interaction. The developed method will also be useful for simulating irrigation, tidal flat and wetland circulation, and floods.

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Section: Comparati6e Examplesmentioning

confidence: 79%

Section: Comparati6e Examplesmentioning

confidence: 99%

A numerical method for simulating discontinuous shallow flow over an infiltrating surface

Fiedler

Ramı́rez

2000

Int. J. Numer. Meth. Fluids

136

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“…However, the exact solution of the Riemann problem is less efficient. In recent years, a number of approximate Riemann solvers have been developed to solve the Riemann problem in an efficient manner, including the method of characteristics (Katopodes and Strelko 1978;Iwasaki and Inutsuka 2011), the finite difference method (Fennema and Chaudhry 1990;Jha et al 1995;Ouyang et al 2014), and the finite volume method (Zoppou and Roberts 2000;Fraccarollo et al 2003;Brufau et al 2004;Gottardi and Venutelli 2004;Toro 2009;Fayssal and Moukalled 2012). In this paper, the finite volume method and Roe's approximation scheme are used to solve the debris flow problem.…”

Section: Methodsmentioning

confidence: 99%

Numerical simulation of landslide over erodible surface

Liu

2015

GEOENVIRON DISASTERS

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Background: Estimating the magnitude and intensity of landslides is a fundamental requirement in quantitatively evaluating the risks involved, and preparing a mitigation strategy. Though the physics-based dynamic model of landslide can predict the travel distance, kinematic velocity, and hazard zone, the effects of erosion and the excess pore water pressure during the dynamic process of landslide are often ignored. Results: In order to study these factors, a physics-based dynamic model of landslide considering erosion and excess pore water pressure is presented in this paper. A high-precision numerical method based on the finite volume method is proposed to solve the model equations. Several numerical tests are performed to verify the numerical method and the model. The effects of erosion and excess pore water pressure on the dynamic process of landslide are also analyzed. Conclusions: The numerical results indicate that the scale and mobility of a landslide are influenced by the effect of erosion and excess pore water pressure. The excess pore water pressure can reduce the resistance to shear stress from the erodible bed and lead to a higher erosion amount and longer moving distance of the landslide. It also affects the degree of erosion and further affects the dynamic process of the landslide. The sensitivity analysis of the parameters that influence excess pore water pressure indicate that these parameters have a significant impact on the evolution of excess pore water pressure, and that the degree of saturation of bed sediment has the highest influence on excess pore water pressure.

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“…Jha et al [15] reported that the RoeÕs method using the second order accurate correction fails to simulate the dambreak problem when h L /h R < 0.002. In order to overcome this problem, the flux limiter function is also set here to zero when h < 10 À5 , i.e.…”

Section: Dambreak On Dry Bedmentioning

confidence: 99%