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非结构化网格非静水GVC海洋模型 第一部分:模型描述及垂直混合坐标在内孤立波中的应用

An unstructured-grid, nonhydrostatic, GVC ocean model Part I: Model description and application of vertical hybrid coordinates to internal solitary waves

B. J. Pauken, L. Yue, Y. Zhang, S. Vitousek, O. B. Fringer

arXiv 2607.28356首次发表:更新:

AI 中文总结

本文介绍了一款整合广义垂直坐标(GVC)的非结构化网格非静水海洋模型,开发了适用于非结构化网格的保守动量平流与保正层高度格式,通过模拟验证了其有效性并展现了混合垂直坐标的优势。

AI 中文摘要

我们提出了一种非静水海洋模型,采用水平非结构化C网格与可移动广义垂直坐标(GVC),旨在模拟真实海洋区域的非静水过程。GVC系统可表示任何已知的z坐标、随地形坐标或等密度坐标,同时也能采用混合垂直坐标。本文概述了将GVC系统整合入Fringer等人(2006)提出的非结构化C网格非静水z坐标SUNTANS模型所需的具体步骤。该方法改编自Vitousek与Fringer(2014)提出的非静水等密度坐标方法,但我们的模型与该实现的不同之处在于开发了适用于水平非结构化网格的保守动量平流格式和保正层高度格式。我们通过湍流通道流模拟验证了动量平流实现的有效性,并通过内孤立波及相关底边界层不稳定性的模拟,证明了混合垂直坐标方法相比z坐标或随地形坐标的优势。

英文摘要

We present a nonhydrostatic ocean model with a horizontally unstructured, C-grid and a moving, generalized vertical coordinate (GVC) designed for the simulation of nonhydrostatic processes in realistic ocean domains. The GVC system can represent any of the well-known z-level, terrain-following, or isopycnal coordinates while also being able to employ hybrid vertical coordinates. In this paper we outline the specific steps needed to incorporate the GVC system into the unstructured, C-grid, nonhydrostatic, z-coordinate SUNTANS model of Fringer et al. (2006). The approach is adapted from the nonhydrostatic, isopycnal-coordinate method of Vitousek and Fringer (2014), yet our model differs from that implementation through the development of a conservative momentum advection scheme and a positivity-preserving layer height scheme for horizontally unstructured grids. We validate the momentum advection implementation with simulations of a turbulent channel flow and demonstrate the advantages of the hybrid vertical coordinate approach over z- or terrain-following coordinates through simulations of internal solitary waves and the associated bottom boundary layer instability.

Comments68 pages, 15 figures

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