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首页> 外文期刊>International Journal for Numerical Methods in Fluids >Finite volume solution to integrated shallow surface-saturated groundwater flow
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Finite volume solution to integrated shallow surface-saturated groundwater flow

机译：浅层饱和地表水流的有限体积解

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摘要

This paper describes development of an integrated shallow surface and saturated groundwater model (GSHAW5). The surface flow motion is described by the 2-D shallow water equations and ground-water movement is described by the 2-D groundwater equations. The numerical solution of these equations is based on the finite volume method where the surface water fluxes are estimated using the Roe shock-capturing scheme, and the groundwater fluxes are computed by application of Darcy's law. Use of a shock-capturing scheme ensures ability to simulate steady and unsteady, continuous and discontinuous, subcritical and supercritical surface water flow conditions. Ground and surface water interaction is achieved by the introduction of source-sink terms into the continuity equations. Two solutions are tightly coupled in a single code. The numerical solutions and coupling algorithms are explained. The model has been applied to 1-D and 2-D test scenarios. The results have shown that the model can produce very accurate results and can be used for simulation of situations involving interaction between shallow surface and saturated groundwater flows.
机译：本文描述了一个综合的浅层地表和饱和地下水模型（GSHAW5）的开发。地表流动运动用二维浅水方程式描述，地下水运动用二维地下水方程式描述。这些方程的数值解基于有限体积法，其中使用Roe冲击捕获方案估算地表水通量，并通过达西定律计算地下水通量。使用震动捕获方案可确保模拟稳定和不稳定，连续和不连续，亚临界和超临界地表水流动状况的能力。地下水和地表水的相互作用是通过将源－汇项引入连续性方程来实现的。两种解决方案在单个代码中紧密耦合。说明了数值解和耦合算法。该模型已应用于一维和二维测试场景。结果表明，该模型可以产生非常准确的结果，并且可以用于模拟涉及浅层表面和饱和地下水流之间相互作用的情况。

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