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首页> 外文期刊>Journal of Hydroinformatics >Coupled finite-volume scheme with adapted Augmented Roe scheme for simulating morphological evolution in arbitrary cross-sections
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Coupled finite-volume scheme with adapted Augmented Roe scheme for simulating morphological evolution in arbitrary cross-sections

机译：有限体积方案与自适应增强Roe方案耦合，用于模拟任意截面的形态演化

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摘要

A new coupled finite-volume scheme based on the Augmented Roe solver adapted to simulate morphological evolution of arbitrary cross-sections is presented. In pure hydrodynamic conditions, the Augmented Roe scheme has proven to provide accurate results and a constant discharge in steady-flow conditions. Here, this scheme is extended to solve the one-dimensional Saint-Venant-Exner system of equations written for arbitrary cross-sections. Therefore, new eigenvalues and source-term calculations are proposed to account for the irregular shape of the cross-sections. The performances of the proposed scheme are assessed by comparison with three different one-dimensional numerical models aimed at simulating morphological changes, with coupled or uncoupled approaches, and based on HLL or Roe-based flux calculations. Numerous test cases were examined, including water at rest, steady flows and transient flows for which experimental results exist. The results show that the proposed scheme provides stable and accurate results for a wider range of situations than is available with other classical models.
机译：提出了一种基于增强Roe求解器的耦合有限体积方案，该方案适用于模拟任意截面的形态演化。在纯流体动力条件下，经证明的增强Roe方案可提供准确的结果，并在稳定流条件下提供恒定的流量。在这里，扩展了该方案以求解针对任意横截面编写的一维Saint-Venant-Exner方程组。因此，提出了新的特征值和源项计算来解决横截面的不规则形状。通过与三种不同的一维数值模型进行比较来评估所提出的方案的性能，这些数值模型旨在通过耦合或非耦合方法并基于HLL或基于Roe的通量计算来模拟形态变化。检查了许多测试用例，包括静水，稳定流量和瞬态流量，这些都是存在实验结果的。结果表明，与其他经典模型相比，该方案可在更广泛的情况下提供稳定，准确的结果。

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