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首页> 外文期刊>Journal of Hydroinformatics >Numerical simulation of flood waves and calculation of exerted forces on the cylindrical piers in contraction channels with different cross section profiles
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Numerical simulation of flood waves and calculation of exerted forces on the cylindrical piers in contraction channels with different cross section profiles

机译：横断面不同收缩通道的洪水波数值模拟与圆柱墩的力计算。

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摘要

A numerical model based on two-dimensional shallow water equations is presented. The depth-averaged velocity components with free-surface elevation have been used as independent variables in the model. The finite element technique is applied to discretize the spatial derivatives. Triangular elements with quadratic and linear interpolating functions are employed for two horizontal velocity components and the free-surface elevation, respectively. The standard Galerkin method is applied for discretization of the governing equations. Time discretization is performed using an implicit scheme. The resulting linear system of equations is solved by the GMRES method. The model is validated using three test cases and the results are compared with an analytical solution, the result of numerical work and experimental data, respectively. Favorable agreement was achieved in all three cases. Subsequently, the developed model is applied to simulate free-surface elevation through a channel contraction. The effects of width of the narrow section as well as the profile of the cross section of the channel on the wave forces exerted on a circular cylinder were studied. This was done in a channel with a quartic narrow section. Plots of time histories of the drag coefficient on the cylinder were produced, demonstrating the effects of the mentioned oarameters.
机译：提出了基于二维浅水方程的数值模型。具有自由表面高度的深度平均速度分量已用作模型中的自变量。应用有限元技术离散化空间导数。具有二次和线性插值功能的三角形单元分别用于两个水平速度分量和自由表面标高。标准的Galerkin方法适用于控制方程的离散化。时间离散化使用隐式方案执行。所得的线性方程组通过GMRES方法求解。使用三个测试案例对模型进行了验证，并将结果与​​解析解决方案，数值工作的结果和实验数据进行了比较。在这三种情况下均达成了有利的协议。随后，将开发的模型应用于通过通道收缩模拟自由表面高程。研究了狭窄部分的宽度以及通道横截面的轮廓对施加在圆柱上的波浪力的影响。这是在具有四次狭窄截面的通道中完成的。产生了圆柱体上的阻力系数的时间历史图，证明了上述提到的气压计的作用。

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