Analytical solution of dam-break flood wave propagation in a dry sloped channel with an irregular-shaped cross-section

Wang, Bo; Chen, Yunliang; Wu, Chao; Peng, Yong; Ma, Xiaoli; Song, Jiajun

doi:10.1016/j.jher.2016.11.003

Cited by 20 publications

(11 citation statements)

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Natural rivers are generally with sloped beds and irregular cross-sectional areas. Wang et al (2017) state that a polyline cross-section can determine a natural river's complex shape. In this regard, they proposed an analytical solution for an inviscid dam-break problem over a dry sloped bed in a prismatic channel with SARKHOSH AND JIN 10.1029/2020WR028742 16 of 29 since the water upstream of the wavefront moves due to gravity.…”

Section: Inviscid Dam-break Over a Dry Sloped Bed With An Irregular Cross-sectional Areamentioning

confidence: 99%

“…All data obtained from the1D MPS-SWE model are available at the University of Regina's Institutional Repository, that is: https://ourspace.uregina.ca/handle/10294/10294. Experimental and other models data are available through Chang et al (2011), Lauber andHager (1998), Hu et al (2018), Ozmen-Cagatay and Kocaman (2010, Wang et al (2017), andSynolakis (1986).…”

Section: Data Availability Statementmentioning

confidence: 99%

“…Figure18. Water depth and discharge profiles computed by 1D MPS-SWE compared with analytical solution(Wang et al, 2017) and LES model(Wang et al, 2017) for an inviscid dam-break over a dry sloped bed with an irregular crosssectional area at different time steps. LES, large eddy simulation; MPS, moving particle simulation; SWE, shallow-water equation.…”

mentioning

confidence: 99%

See 2 more Smart Citations

MPS‐Based Model to Solve One‐Dimensional Shallow Water Equations

Sarkhosh

Jin

2021

Water Resources Research

View full text Add to dashboard Cite

Two meshless (or mesh-free) methods that are widely employed in hydrodynamic modeling of problems with steep gradients and large deformation are smoothed particle hydrodynamics (SPH) and moving particle simulation (MPS) that are classified into two categories of incompressible and weakly compressible fluids (Gotoh & Khayyer, 2016). Although SPH was initially introduced for astrophysical applications (Gingold & Monaghan, 1977), in the scope of hydrodynamics, SPH and MPS were developed by Monaghan (1992) and Koshizuka and Oka (1996), respectively, for solving the free-surface incompressible flow using Navier-Stokes equations. Gotoh et al. ( 2001) presented a sub-particle scale closure model for closing large eddy simulation (LES) to simulate turbulence fluctuations in the MPS method. The theory of a weakly compressible flow was adopted by Monaghan (1994) in SPH and Shakibaeinia and Jin (2010) in MPS using a thermodynamic equation of state for calculating the pressure instead of resorting to the Poisson equation.The main difference between SPH and MPS arises from different differential operators employed in the spatial integration of the partial differential equations. In SPH, the differential operators are obtained from the differentiation of a weighted average function, the so-called kernel, without directly applying differencing schemes for flow variables. The superposition of the kernels then computes flow variables' derivatives (Liu & Liu, 2010). In contrast, MPS is the extension of the finite volume method to a mesh-free approach in which the spatial discretization is obtained based on the differentiation of flow variables. The weighted average of physical quantities derivatives of neighboring particles is applied to the target particle. However, unlike the finite volume method in which the velocity divergence is used for pressure calculation, the particle number density is adopted in MPS. The particle number density indicating the number of particles surrounding a particle is a key variable in MPS that is straightforward to fulfill flow incompressibility (Koshizuka et al., 2018).

show abstract

Section: Inviscid Dam-break Over a Dry Sloped Bed With An Irregular Cross-sectional Areamentioning

confidence: 99%

Section: Data Availability Statementmentioning

confidence: 99%

See 1 more Smart Citation

MPS‐Based Model to Solve One‐Dimensional Shallow Water Equations

Sarkhosh

Jin

2021

Water Resources Research

View full text Add to dashboard Cite

show abstract

“…In the present study, a new analytical solution of the shallow-water equations is proposed for an infinite volume of an ideal (frictionless) fluid released instantaneously from upstream of a dam with initial wet horizontal and sloping channel. The omission of the friction is based on the following considerations: (1) the frictional slope is a nonlinear term that hinders one from solving the Saint-Venant equations (SVE) analytically (Chanson 2009); (2) a frictionless fluid is often considered in the development of the analytical solutions for dam-break problems (Ritter 1892;Stoker 1957;Wu et al 1999;Fernandez-Feria 2006;Ancey et al 2008;Chen et al 2011;Wang et al 2017;Cozzolino et al 2017); (3) dam-break flow can be considered as frictionless flow for relatively high flow velocity and little flow separation from solid boundaries (Batchelor 2000;Guo et al 1998;Guo 2005), and (4) although a truly frictionless flow does not occur in nature, the frictionless case constitutes an unambiguous end-member as well as a clear target case for testing numerical models (Ancey et al 2008). A typical example is that Zoppou and Roberts (2003) conducted an examination of the performance of twenty explicit numerical schemes used to solve the shallow water wave equations for simulating the dam-break problem by comparing the results from these schemes with analytical solutions and expected more analytical solutions to be developed for testing the numerical schemes.…”

Section: Introductionmentioning

confidence: 99%

Analytical Solution of Shallow Water Equations for Ideal Dam-Break Flood along a Wet-Bed Slope

et al. 2020

Self Cite

View full text Add to dashboard Cite

The existing analytical solutions of dam-break flow do not consider simultaneously the effects of wet downstream bottom and bed slope on the dam-break wave propagation. In this study, a new analytical solution for the shallow-water equations (SWE) is developed to remove this limitation to simulate the wave caused by an instantaneous dam-break. The approach adopts the method of characteristics and has been applied to simulate the dam-break flows with different downstream water depths and slopes. The analytical solutions have been compared with predictions by the lattice Boltzmann method and the agreement is good. Although the proposed analytical solution treats an idealized case, it is nonetheless suitable for assessing the robustness and accuracy of numerical models based on the SWE without the frictional slope.

show abstract

“…In addition, actual river channels are mostly irregular, and their cross-sections cannot be simplified into rectangles. Wang et al derived an analytical solution for the collapse of a prismatic channel with an arbitrary cross-sectional shape under a tilted channel [7]. Due to the occurrence of undular bore waves in nature, some physical models have been proposed based on a nonhydrostatic pressure assumption in dam break flows [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Assessing the Analytical Solution of One-Dimensional Gravity Wave Model Equations Using Dam-Break Experimental Measurements

Liu

Wang

Chen

et al. 2018

Water

Self Cite

View full text Add to dashboard Cite

The one-dimensional gravity wave model (GWM) is the result of ignoring the convection term in the Saint-Venant Equations (SVEs), and has the characteristics of fast numerical calculation and low stability requirements. To study its performances and limitations in 1D dam-break flood, this paper verifies the model using a dam-break experiment. The experiment was carried out in a large-scale flume with depth ratios (initial downstream water depth divided by upstream water depth) divided into 0 and 0.1~0.4. The data were collected by image processing technology, and the hydraulic parameters, such as water depth, flow discharge, and wave velocity, were selected for comparison. The experimental results show that the 1D GWM performs an area with constant hydraulic parameters, which is quite different from the experimental results in the dry downstream case. For a depth ratio of 0.1, the second weak discontinuity point, which is connected to the steady zone in the 1D GWM, moves upstream, which is contrary to the experimental situation. For depth ratios of 0.2~0.4, the moving velocity of the second weak discontinuity point is faster than the experimental value, while the velocity of the shock wave is slower. However, as the water depth ratio increases, the hydraulic parameters calculated by 1D GWM in the steady zone gradually approach the experimental value.

show abstract

Analytical solution of dam-break flood wave propagation in a dry sloped channel with an irregular-shaped cross-section

Cited by 20 publications

References 24 publications

MPS‐Based Model to Solve One‐Dimensional Shallow Water Equations

MPS‐Based Model to Solve One‐Dimensional Shallow Water Equations

Analytical Solution of Shallow Water Equations for Ideal Dam-Break Flood along a Wet-Bed Slope

Assessing the Analytical Solution of One-Dimensional Gravity Wave Model Equations Using Dam-Break Experimental Measurements

Contact Info

Product

Resources

About