Coupling an unstructured grid three‐dimensional model with a laterally averaged two‐dimensional model for shallow water hydrodynamics and transport processes,International Journal for Numerical Methods in Fluids

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Coupling an unstructured grid three‐dimensional model with a laterally averaged two‐dimensional model for shallow water hydrodynamics and transport processes
International Journal for Numerical Methods in Fluids ( IF 1.7 ) Pub Date : 2020-11-10 , DOI: 10.1002/fld.4938
XinJian Chen ₁

Affiliation

This article presents a dynamically coupled 3D‐2DV hydrodynamic model, which combines an unstructured Cartesian grid three‐dimensional hydrodynamic model named UnLESS3D with a laterally averaged model for estuaries (LAMFE). Both UnLESS3D and LAMFE are shallow water models, which solve unsteady Reynolds‐averaged Navier–Stokes equations. The coupled hydrodynamic model, named UnLESS, is very suitable and efficient for rivers, lakes, and estuaries, which have not only large waterbodies but also long, meandering, and narrow tributaries. The dynamic coupling of UnLESS3D and LAMFE is facilitated with a semiimplicit scheme called the free‐surface correction (FSC) method. The resulting coupled model UnLESS is unconditionally stable with respect to the gravity waves, bottom shear stress, and vertical eddy viscosity terms. The UnLESS model was tested with an idealized estuary case which has a large basin and two narrow tributaries, providing freshwater flow to the basin. Model results using UnLESS were compared with those using the UnLESS3D model. It was found that the UnLESS model can reproduce the model results of UnLESS3D. The UnLESS model was also applied to Charlotte Harbor, with its major tributaries flowing to its northern part being included in the simulation domain. A good agreement of model results of water level, current, salinity, and temperature simulated by the UnLESS model with real‐time data measured in Charlotte Harbor and its tributaries suggest that the method presented here is robust in dynamically coupling the 3D unstructured Cartesian Grid model UnLESS3D with the laterally averaged model LAMFE.

中文翻译：

非结构网格三维模型与横向平均二维模型的耦合，用于浅水流体动力学和输运过程

本文介绍了一种动态耦合的3D-2DV水动力模型，该模型将名为UnLESS3D的非结构笛卡尔网格三维水动力模型与河口横向平均模型（LAMFE）相结合。UnLESS3D和LAMFE都是浅水模型，可以求解不稳定的雷诺平均Navier-Stokes方程。耦合的水动力模型名为UnLESS，非常适合于河流，湖泊和河口，它们不仅有大的水体，而且还有长而蜿蜒而又狭窄的支流。UnLESS3D和LAMFE的动态耦合通过称为自由表面校正（FSC）方法的半隐式方案得以实现。所得的耦合模型UnLESS相对于重力波，底部切应力和垂直涡流粘度项是无条件稳定的。UnLESS模型在一个理想的河口案例中进行了测试，该案例有一个大盆地和两个狭窄的支流，为该盆地提供了淡水流。将使用UnLESS的模型结果与使用UnLESS3D模型的模型结果进行了比较。发现UnLESS模型可以重现UnLESS3D的模型结果。UnLESS模型还应用于夏洛特港，其主要支流流向北部，被纳入模拟范围。由UnLESS模型模拟的水位，水流，盐度和温度与夏洛特港及其支流中测得的实时数据的模型结果吻合良好，这表明本文介绍的方法在动态耦合3D非结构化笛卡尔网格模型方面具有鲁棒性带有横向平均模型LAMFE的UnLESS3D。

更新日期：2020-11-10

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