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Assessment of subgrid method in a finite-volume model

机译：在有限卷模型中评估子级方法的评估

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We present an implementation of a subgrid finite-volume model based on a nonlinear semi-implicit solver originally proposed by Casulli (2009), but with different approaches for constructing the tangential velocity as required by all Arakawa C-grid models. The model is carefully benchmarked through a few revealing test cases that consist of a theoretical nonlinear inundation case and a field application to San Francisco Bay. Through these tests, we seek to answer a critical science question, i.e. whether a structured grid with the help from a subgrid representation of underlying bathymetry can produce comparable results to an unstructured grid. Results suggest that comparable results for surface elevation can be achieved provided that the resolution of the base cell is sufficient fine; on the other hand, use of subgrid does not significantly improve the velocity results. The latter is attributed to the assumption that the surface elevation is assumed to be constant at the base cell. Future research priorities for this type of models should focus on improving the subgrid representations of the elevation and velocity. (C) 2020 Elsevier Ltd. All rights reserved.
机译：我们基于Casulli（2009）最初提出的非线性半隐式求解器，但是具有不同方法，用于根据所有Arakawa C-Grid模型来构造切向速度的不同方法。该模型通过少数揭示旧金山湾的理论非线性淹没案例和现场应用程序仔细基准测试。通过这些测试，我们寻求回答一个关键的科学问题，即，具有来自底层浴权的底层表示的帮助的结构化网格可以产生与非结构化网格的可比结果。结果表明，可以实现表面升高的可比结果，条件是碱电池的分辨率足够精细;另一方面，使用子地产的使用不会显着提高速度结果。后者归因于假设在基本单元处假设表面升高是恒定的。此类模型的未来研究优先事项应专注于改善高程和速度的底层表示。 （c）2020 elestvier有限公司保留所有权利。

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