Implementation and analysis of a partial‐element wetting and drying framework for generalized wave continuity equation‐based hydrodynamic models

Implementation and analysis of a partial‐element wetting and drying framework for generalized wave continuity equation‐based hydrodynamic models
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基于广义波连续方程的水动力模型的部分单元润湿和干燥框架的实现和分析

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发表时间:
2013
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通讯作者:
R. Kolar
R. Kolar
中科院分区:
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作者:
C. Dick;E. Tromble;K. Dresback;R. Kolar

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ADCIRC水动力模式已广泛用于预测沿海地区风暴潮的影响。为了创造一个更全面的沿海洪水代表性(即,总水位),ADCIRC最近的一些应用集中在模拟沿海河流系统。最初尝试模拟河流系统与ADCIRC遇到的并发症与质量平衡(人工增加的质量在下游方向)和模型不稳定性时,流量离开主通道,这表明并发症可能是由于目前的处理湿/干边界CG ADCIRC。一个新的湿/干框架已经开发,并实施,一维连续Galerkin ADCIRC代码,这是基于广义波连续性方程(GWCE)制定的浅水方程。新算法允许在ADCIRC的计算域中包含部分润湿的元素,并且本手稿的重点是洪水型润湿/干燥过程(例如,潮汐波动和风暴潮淹没)。新框架在GWCE公式化之前,在原始连续性方程中的时间导数项上使用比例因子η。与当前的润湿和干燥算法相比,新方法的优点包括更好的质量平衡和更准确地跟踪湿/干界面的位置。Copyright © 2013 John Wiley & Sons,Ltd.
The ADCIRC hydrodynamic model has been used extensively to predict the effects of storm surge in coastal regions. In an effort to create a more holistic representation of coastal inundation (i.e., the total water level), some recent applications of ADCIRC have focused on modeling coastal river systems. Initial attempts to model river systems with ADCIRC have encountered complications associated with mass balance (artificial increase in mass in the downstream direction) and model instabilities when flow leaves the main channel, which suggests that complications may be attributed to the current treatment of the wet/dry boundary in CG ADCIRC. A new wetting/drying framework has been developed for, and implemented in, the 1D continuous Galerkin ADCIRC code, which is based on the generalized wave continuity equation (GWCE) formulation of the shallow water equations. The new algorithm allows for the inclusion of partially wet elements within the computational domain of ADCIRC, and the focus of this manuscript is flooding‐type wetting/drying processes (e.g., tidal fluctuations and storm surge inundation). The new framework uses a scaling factor, η, placed on the time derivative term in the primitive continuity equation, prior to formulation of the GWCE. Benefits of the new approach include better mass balance and more accurate tracking of the location of the wet/dry interface, compared with the current wetting and drying algorithm.Copyright © 2013 John Wiley & Sons, Ltd.