共查询到17条相似文献，搜索用时 375 毫秒
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应用偏微分方程最优化控制理论,导出了二维浅水方程糙率自动率定的最优化系统,实现了二维水力学模型计算中分布式糙率参数的自动率定算法。结合实际应用的可操作性,按区块设定糙率,对恒定流和非恒定流两种流态分别进行了常数糙率和随水深变化的糙率自动率定实验。数值实验表明,在观测数据包含足够的信息时,该方法不仅能够准确地自动率定出相关的糙率参数,还能成功地将糙率随水深的变化关系式识别出来。但是,糙率水深变化关系识别迭代收敛速度显著变慢,因此,建议采用相应的实现对策来考虑变糙率的洪水预测问题。 相似文献
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为了选择适用于复杂连续弯道的二次流修正方法,选取了线性方法中两种典型的计算模式,通过在正交曲线坐标系二维浅水动量方程中增加扩散应力项开发了考虑二次流影响的平面二维水流模型。基于不同复杂度的4个连续弯道试验的水位和流速分布资料,通过理论分析和数值试验对比定量评估了传统二维模型和两种二次流修正方法在连续弯道水流模拟中的效果。测试结果表明,Delft3D模型的二次流修正方法自由度较高,适用于不同复杂度的连续弯道水流模拟,而Lien模型二次流修正方法适用于微弯或中弯,应用于中弯时需要慎重选用,不适用于急弯连续弯道模拟。两种方法比较,建议连续弯道水流模拟中优选Delft3D模型的二次流修正方法。 相似文献
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冰湖溃决洪水的二维水动力学数值模拟 总被引：1，自引：0，他引：1
为分析冰湖溃决洪水过程,建立了一个二维非恒定流数值模型,可以定量的开展冰湖溃决洪水预测.数值模型的基本控制方程采用二维浅水水流方程,数值方法采用可以捕捉激波的WAF TVD二阶精度格式,并用非界面追踪的方法处理干湿边界.通过理想情况下一维解析解的验证和二维复杂地形情况的数值试验,证明数值模型具有较好的精度和可靠性,并且可以适应复杂地形.将数值模型应用于一个典型的冰湖溃决事件,定量地预估了该冰湖溃决洪水过程,结果表明:水流流速很高,床面剪切应力很大,可能诱发活跃的泥沙运动,形成泥石流灾害. 相似文献
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为了更好地把握溃坝洪水风险,减小因溃坝洪水而造成的人员生命和财产损失,建立了基于Godunov格式的一维、二维溃坝水流耦合数学模型。一维溃坝水流模型采用HLL格式的有限体积法求解,二维溃坝水流模型采用基于非结构网格的Roe格式离散求解,在一维、二维模型的链接处采用重叠计算区域的方法实现一维模型和二维模型之间的水力要素信息交换。经弯道溃坝算例和断面突变溃坝算例验证,该耦合模型具有良好的可靠性和适用性,验证后的耦合模型为大尺度的溃坝水流数值模拟打下了基础。 相似文献
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针对溃坝水流数值模拟面临的复杂地形和不规则边界等问题,基于结构网格建立了适应复杂地形和不规则边界的溃坝水流数值模拟有限体积模型（HydroM2D）。模型基于具有守恒特性的二维浅水方程,利用HLLC格式的近似Riemann解计算网格界面通量,利用MUSCL-Hancock法不断向前积分,使模型在时空上具有二阶精度;对源项进行离散处理确保模型的稳定性;模型引入有效干湿边界和不规则地形边界处理方法,准确模拟了干湿单元的动态交替和复杂边界上的水流特性。最后分别利用水槽试验、物理模型和实际算例对模型进行验证。结果表明,该模型对不同情景下的溃坝洪水模拟结果和实测资料以及现有模型模拟结果具有较高的一致性,模拟精度较高,稳定性较好,具有推广应用价值。 相似文献
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自然界及水利、海洋等工程应用领域中到处都可遇到在重力作用下具有自由水面的水流计算问题,其中大多数可用二维浅水方程组来描述.近20多年来,已广泛应用计算机求解该方程组得到各种平面流场,形成了计算浅水动力学这一学科分支.时至今日,浅水流动数值模型的科学发展水平已趋成熟,但尚无一本专著问世”,尚未建立起有关的理论和方法体系,也没有把水利、航空、海洋、气象等学科的各种算法加以融合.为此,水利部南京水文水资源研究所的谭维炎先生撰写了《浅水动力学——二维浅水方程组的数学理论与数值解》专著,填补了这一空白. 相似文献
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Prashanth Reddy Hanmaiahgari Nooka Raju Gompa Debasish Pal Jaan Hui Pu 《Natural Hazards》2018,91(3):1075-1096
The present study attempts to predict the reservoir sedimentation in 32 km region of the Tenryu River between the Hiraoka and Sakuma Dams in Japan. For numerical simulations of the reservoir sedimentation, the one-dimensional model of the Hydrologic Engineering Centre-River Analysis System (HEC-RAS) is used together with the inclusion of channel geometry, bed gradation curve, Exner-5 bed sorting mechanisms, fall velocity of the particle, and flow and sediment boundary conditions pertaining to modeling region. The modeling region of the Tenryu River is divided into 48 river stations with 47 reaches in the numerical simulations. The numerical model is calibrated using the available data for 48 years from 1957 to 2004. The formulae of sediment transport function, Manning’s roughness coefficient, computational increment and fall velocity have been identified for getting the best estimation of the Sakuma Dam reservoir sedimentation. Combination of obtained sensitive parameters and erodible limits of 2 m gave the best comparison with the measured bed profile. The computed results follow the trend of measured data with a small underestimation. Although Manning’s roughness coefficient has an effect on the sedimentation, no direct relation is found between the Manning’s roughness coefficient and reservoir sedimentation. It is found that the temperature of water has no effect on the reservoir sedimentation. 相似文献
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A continuous/discontinuous Galerkin framework for modeling coupled subsurface and surface water flow
Clint Dawson 《Computational Geosciences》2008,12(4):451-472
We consider conjunctive surface-subsurface flow modeling, where surface water flow is described by the shallow water equations
and ground water flow by Richards’ equation for the vadose zone. Coupling between the models is based on the continuity of
flux and water pressure. Numerical approximation of the coupled model using the framework of discontinuous Galerkin (DG) methods
is formulated. In the subsurface, the local discontinuous Galerkin (LDG) method is used to approximate ground water velocity
and hydraulic head; a DG method is also used to approximate surface water velocity and elevation. This approach allows for
a weak coupling of the models and the use of different approximating spaces and/or meshes within each regime. A simplified
LDG method based on continuous approximations to water head is also described. Numerical results that investigate physical
and numerical aspects of surface–subsurface flow modeling are presented.
This work was supported by National Science Foundation grant DMS-0411413. 相似文献
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Manning’s roughness coefficient is one of the most important parameters in establishing the plan, design, operation, and maintenance of the water resource projects for hydraulic engineers, and since the worth of this value has a significant effect on the analysis of the water level and flow rate distribution, it is very important to carry out the calculation of flood stage, design of the stream/river structure, and safety assessment of the stream. Due to the importance of these factors, the calculation of objective and quantitative roughness coefficient has long drawn attention from researchers at home and abroad. Many studies have been conducted to estimate the roughness coefficient based on the actual measurements for various types of streams, such as gravel and sand streams, and many others have produced experience equation for various levels of materials and relative depth. Despite many of these efforts, the roughness coefficient uses constant values when applied to the actual model or real design. This application is a major source of error in simulating flood and unsteady flow. To solve these problems, good results were obtained by attempting to calculate the roughness coefficient applied with the entropy concept in open-channel flow. In particular, the proposed roughness coefficient based on the measurements taken from laboratories under conditions showed very similar to the actual stream flow which was found to be about the same as the value from the unsteady flow. Accordingly, the newly developed roughness coefficient equation, which is the result of this study, is a very practical one formula that can be applied to the flood flow of real natural streams. It can also be used as an alternative to make up for the disadvantages of the Manning’s roughness coefficient. 相似文献
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In this paper, we study the properties of approximate solutions to a doubly nonlinear and degenerate diffusion equation, known
in the literature as the diffusive wave approximation of the shallow water equations (DSW), using a numerical approach based
on the Galerkin finite element method. This equation arises in shallow water flow models when special assumptions are used
to simplify the shallow water equations and contains as particular cases the porous medium equation and the p-Laplacian. Diverse
numerical schemes have been implemented to approximately solve the DSW equation and have been successfully applied as suitable
models to simulate overland flow and water flow in vegetated areas such as wetlands; yet, no formal mathematical analysis
has been carried out in order to study the properties of approximate solutions. In this study, we propose a numerical approach
as a means to understand some properties of solutions to the DSW equation and, thus, to provide conditions for which the use
of the DSW equation may be inappropriate from both the physical and the mathematical points of view, within the context of
shallow water modeling. For analysis purposes, we propose a numerical method based on the Galerkin method and we obtain a
priori error estimates between the approximate solutions and weak solutions to the DSW equation under physically consistent
assumptions. We also present some numerical experiments that provide relevant information about the accuracy of the proposed
numerical method to solve the DSW equation and the applicability of the DSW equation as a model to simulate observed quantities
in an experimental setting. 相似文献
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为进一步深入研究弹性饱和黏性土地基的二维固结机制,引入Hansbo渗流方程描述固结过程中的非达西渗流,修正Biot二维固结方程。基于加权残数法,给出相应的有限元数值求解格式。通过和饱和黏性土一维非达西渗流固结理论有限体积法数值结果的对比,证明数值计算方法的有效性。在此基础上,探讨Hansbo渗流参数对二维地基固结进程的影响。计算结果表明,在固结初期,Hansbo渗流将增强Mandel-Cryer效应,增大孔压的峰值,并延长孔隙水压力达到峰值的时间;在固结中后期,整个土层存在孔隙水压力滞后现象。同时,Hansbo渗流将阻碍地基沉降的发展。而且,上述影响会随着Hansbo渗流参数的增大而更加明显。 相似文献
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泥石流流体容重、流速、冲击力是表征泥石流活动特征众多指标中的三个关键指标.本文在分析国内外对这些指标评估现状的基础上,总结了应用较普遍的估算公式,对比了不同公式的特点及其适用性.比较结果认为:由于泥石流组成和运动状态的复杂性以及影响因素的多样性,对于这三个指标,目前的估算公式都不具有普适性.在当前的认知水平下,建立基于各个地区泥石流特点的指标估算经验公式是最为实用的途径.在各个指标经验公式的建立方法上,考虑各个粒组的多变量容重统计分析方法相对较为合理;泥石流流速估算公式的建立途径在我国、前苏联和欧美国家之间有显著差异,前二者基于曼宁公式,后者基于强迫涡流公式、以弯道超高为主要参数;泥石流冲击力的估算方法国内外都以动量理论为基础,区别主要体现在经验系数取值上,巨石冲击力的计算则都考虑了拦挡建筑物的特点. 相似文献