DEVELOPMENT OF 2-D SHALLOW-WATER FLOW MODEL USING WENO SCHEME
DEVELOPMENT OF 2-D SHALLOW-WATER FLOW MODEL USING WENO SCHEME
复制标题
使用 WENO 方案开发二维浅水流模型
DOI：
10.2208/jscejhe.69.i_631
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发表时间：
2013
影响因子：
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通讯作者：
O. Hinokidani
中科院分区：
文献类型：
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作者：
Y. Kajikawa;O. Hinokidani
在本文中，使用加权本质非振荡（WENO）方案和有限差分法开发了浅水流的二维数值模型。模型采用笛卡尔坐标系，控制方程引入FAVOR方法。采用规则网格系统作为计算网格。将该模型应用于溃坝流和具有水跃的复杂流，以验证模型的有效性。对于溃坝流，该模型能够高精度地重现理论解。此外，对于复杂的水流，该模型能够计算水跃而无数值振荡，并且计算的水面与实验结果吻合良好。因此，结果表明，使用 WENO 方案提出的模型对于浅水流的模拟非常有用。
In this paper, a 2-D numerical model for shallow-water flows using the Weighted Essentially NonOscillatory (WENO) scheme and the Finite Difference Method is developed. In the model, the Cartesian coordinate system is adopted, and the FAVOR method is introduced into the governing equations. The regular grid system is adopted as the computational grid. The model was applied to dam-break flows and to complex flows with hydraulic jump in order to verify the validity of the model. For the dam-break flows, the model was able to reproduce the theoretical solutions with high accuracy. Moreover, for the complex flows, the model was able to calculate the hydraulic jump without numerical oscillation and also the calculated water surface was in good agreement with the experimental results. Thus, it is shown that the presented model using the WENO scheme is very useful for the simulations of shallow-water flows.