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首页> 外文期刊>International Journal for Numerical Methods in Fluids >Concurrent use of finite element and finite volume methods for shallow water flows in locally 1-D channel networks
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Concurrent use of finite element and finite volume methods for shallow water flows in locally 1-D channel networks

机译：同时使用有限元和有限体积方法处理局部一维通道网络中的浅水

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摘要

A numerical model is developed for shallow water equation in locally 1-D channel networks. The model concurrently uses the standard Galerkin finite element method for the continuity equation and the finite volume method with an upwind scheme for the momentum equation. The surface gradient method is consistently employed. A minimum treatment is given for channel junctions so that application to multiply connected channels do not require any special consideration The model is capable of computing different types of transcritical flows, wet and dry flows, and flows with complex source terms. Standardized test problems and laboratory experimental data are used for verifying the model. Applicability of the models is validated in a multiply connected channel network draining hydromorphic farmlands located in a West African savanna, and Manning's roughness coefficient is identified, so that the steady solution is consistent with field observations. Unsteady simulation demonstrates that the model is capable of stably reproducing shifts of hydraulic jumps in flows of sub-millimeter water depths.
机译：针对局部一维通道网络中的浅水方程建立了数值模型。该模型同时将标准Galerkin有限元方法用于连续性方程，并将有限体积方法与逆风方案用于动量方程。始终采用表面梯度法。给出了对通道结的最小处理，因此无需特别考虑应用到多个连接的通道。该模型能够计算不同类型的跨临界流，湿流和干流以及具有复杂源项的流。标准化测试问题和实验室实验数据用于验证模型。该模型的适用性在位于西非大草原的排水状水耕地的多重连接河道网络中得到验证，并确定了曼宁的粗糙度系数，因此稳定解与现场观测结果一致。非稳态仿真表明，该模型能够稳定地再现亚毫米水深流中水力跃迁的变化。

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