无结构网格二维海洋模式的正压梯度力算法改进

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基于一套自主研制的无结构网格二维河口海洋数值模式A2D,在大圆湖理想模型下,通过与解析解进行比较分析,采用不同架构配置,改进设计正压梯度力计算方法。改进后的算法中引入了从算架构的配置,以配合主算架构,得到更佳的稳定性。通过水位场平面分布与单点过程线可以发现,三组试验的算法均获得了较好的精度和比原算法更好的稳定性,其中TSNS配置算法(中心点计算水位、边中点计算流速的主算架构,配合节点计算水位、边中点计算流速的从算架构)由于其主算架构更接近结构网格下的C网格,在守恒性、移动潮滩边界处理等方面具有一定优势和便利性,有利于在实际海洋中的计算。将TSNS配置算法在江浙沿海进行试算,水位验证结果与实测基本符合,与原A2D模式计算水位之间无显著差异。TSNS算法在稳定性方面的改进,有助于提升模式升级为三维后的稳定性,为今后模式成功升级为三维打下基础。 Based on a set of self-developed two-dimensional numerical ocean mouth numerical model A2D for unstructured grids, the method of calculating the positive pressure gradient force is improved by the comparison with the analytical solution under the Danyu Lake ideal model. The improved algorithm introduced from the computing architecture configuration, in line with the master computing architecture, get better stability. Through the horizontal distribution of the water level field and the single-point process line, it can be found that the three groups of tested algorithms all obtained better accuracy and better stability than the original one. The TSNS configuration algorithm (central point calculating water level, mid-point calculating flow rate The main computing framework, with the calculation of the water level node, the midpoint of the calculation of the flow rate of the calculation of the structure because of its main calculation framework closer to the C grid structure of the grid in the conservation of mobile tidal flat boundary treatment has some advantages and Convenience is conducive to the calculation in the actual ocean. The TSNS configuration algorithm is tested in the coastal areas of Jiangsu and Zhejiang. The result of water level verification is in good agreement with the measured data. There is no significant difference with the original A2D model in calculating the water level. The improvement of TSNS algorithm in stability will help to improve the stability after the mode is upgraded to 3D and lay the foundation for the successful upgrade of the model to 3D in the future.
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