TVD scheme for the shallow water equations
TVD scheme for the shallow water equations
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DOI：
10.1080/00221689809498624
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发表时间：
1998-05
影响因子：
2.3
通讯作者：
M. Louaked;L. Hanich
中科院分区：
文献类型：
--
作者：
M. Louaked;L. Hanich
通过采用 Sweby 和 Davis 开发的 TVD Lax-Wendroff 格式的广义公式的数值通量，提出了一种高分辨率算法来求解二维浅水方程。为了在不连续点附近获得高分辨率，我们将 ACM（人工压缩方法）技术应用于所提出的方案。相应结果的比较被曝光。各种液压测试案例表明，耦合方法（TVD-ACM）非常稳健和准确。
A high-resolution algorithm is proposed for the solution of the two-dimensional shallow-water equations by adopting the numerical flux for the generalized formulation of the TVD Lax-Wendroff scheme developed by Sweby and Davis. To obtain high resolution near the discontinuities, we apply the ACM (artificial compression method) technique to the proposed scheme. Comparison of corresponding results is exposed. A variety of hydraulic test cases show that the coupled method (TVD-ACM) is quite robust and accurate.