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

2017 ◽  
Vol 14 ◽  
pp. 93-104 ◽  
Author(s):  
Bo Wang ◽  
Yunliang Chen ◽  
Chao Wu ◽  
Yong Peng ◽  
Xiao Ma ◽  
...  
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Cross Section ◽  
Dam Break ◽  
Flood Wave ◽  
Shaped Cross Section

scholarly journals Dam Break Wave Propagation on a Non- Erodible Bed – Comparison of Experimental and Numerical Results

2021 ◽  
Vol 9 (6) ◽  
pp. 733-740
Keyword(s):  
Wave Propagation ◽  
Risk Mitigation ◽  
Shallow Water Equation ◽  
Fixed Bed ◽  
Maximum Velocity ◽  
Dam Break ◽  
Maximum Height ◽  
Flood Wave ◽  
Downstream Side ◽  
The Cost

Dams are vital for production of electricity, storage of water and irrigation purposes but pose a serious risk to the community, if breached. The downstream flood wave propagation, resulting from failure of a dam can subject the population and infrastructure to considerable damage. No matter how low the chances of failure, the cost of failure makes it a higher risk. Mitigation of such risks requires better understanding of the hazard that a dam may pose in case of failure. This study focuses on the effects of flood wave propagation on a fixed bed on the downstream side resulting from sudden dam break. Two conditions are simulated: 1. when the downstream side is open, 2. when the downstream side is closed. It is observed that the flood wave diminishes in velocity and height with increase in time for both cases. For downstream open condition, the flood wave attains maximum height in 2 to 4 sec and maximum velocity within 2 to 5 sec. For downstream closed condition, the flood wave attains maximum height within 5to 10 sec and maximum velocity within 3 to 5 sec. The results obtained from the two-dimensional shallow water equation based numerical model are in close agreementwith the experimental results.

scholarly journals A High-Frequency Model of a Circular Beam with a T-Shaped Cross Section

Acoustics ◽  
2019 ◽  
Vol 1 (1) ◽  
pp. 295-336
Author(s):  
Andrew Hull ◽  
Daniel Perez
Keyword(s):  
Finite Element ◽  
Wave Propagation ◽  
Cross Section ◽  
High Frequency ◽  
Algebraic Equations ◽  
Frequency Range ◽  
Linear Algebraic Equations ◽  
Circular Beam ◽  
The Web ◽  
Shaped Cross Section

This paper derives an analytical model of a circular beam with a T-shaped cross section for use in the high-frequency range, defined here as approximately 1 to 50 kHz. The T-shaped cross section is composed of an outer web and an inner flange. The web in-plane motion is modeled with two-dimensional elasticity equations of motion, and the left portion and right portion of the flange are modeled separately with Timoshenko shell equations. The differential equations are solved with unknown wave propagation coefficients multiplied by Bessel and exponential spatial domain functions. These are inserted into constraint and equilibrium equations at the intersection of the web and flange and into boundary conditions at the edges of the system. Two separate cases are formulated: structural axisymmetric motion and structural non-axisymmetric motion and these results are added together for the total solution. The axisymmetric case produces 14 linear algebraic equations and the non-axisymmetric case produces 24 linear algebraic equations. These are solved to yield the wave propagation coefficients, and this gives a corresponding solution to the displacement field in the radial and tangential directions. The dynamics of the longitudinal direction are discussed but are not solved in this paper. An example problem is formulated and compared to solutions from fully elastic finite element modeling. It is shown that the accurate frequency range of this new model compares very favorably to finite element analysis up to 47 kHz. This new analytical model is about four magnitudes faster in computation time than the corresponding finite element models.

1‐D Dam‐Break Flood‐Wave Propagation on Dry Bed

1987 ◽  
Vol 113 (12) ◽  
pp. 1510-1524 ◽  
Author(s):  
Constantine V. Bellos ◽  
John G. Sakkas
Keyword(s):  
Wave Propagation ◽  
Dam Break ◽  
Flood Wave

scholarly journals Simulation of pulse wave propagation using one-dimensional models of hemodynamics

2021 ◽  
Vol 2103 (1) ◽  
pp. 012081
Author(s):  
G V Krivovichev ◽  
N V Egorov
Keyword(s):  
Wave Propagation ◽  
Analytical Solution ◽  
Cross Section ◽  
Pulse Propagation ◽  
Pulse Wave ◽  
Pulse Wave Propagation ◽  
One Dimensional ◽  
Hydrodynamic System ◽  
Dimensional Models ◽  
Inviscid Case

Abstract The models of hemodynamics, corresponding to the inviscid, Newtonian, and non-Newtonian models, are compared. The models are constructed by the averaging of the hydrodynamic system on the vessel cross-section. For the inviscid case, the analytical solution of the problem for pulse propagation is obtained. As the result of the comparison, the deviations of the solutions for non-Newtonian models from the Newtonian and inviscid cases are demonstrated.

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