A finite volume numerical approach for coastal ocean circulation studies: Comparisons with finite difference models
A finite volume numerical approach for coastal ocean circulation studies: Comparisons with finite difference models
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DOI：
10.1029/2006jc003485
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发表时间：
2007-03
影响因子：
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通讯作者：
Changsheng Chen;Haosheng Huang;R. Beardsley;Hedong Liu;Qichun Xu;G. Cowles
中科院分区：
文献类型：
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作者：
Changsheng Chen;Haosheng Huang;R. Beardsley;Hedong Liu;Qichun Xu;G. Cowles
[1] Chen等人（2003a）开发了一种非结构网格、有限体积、三维（3-D）原始方程海岸海洋模型（FVCOM），用于研究海岸海洋和河口环流。该模型采用的有限体积法结合了有限元法几何灵活性和有限差分法离散计算简单的优点。洋流、温度和盐度是用方程的积分形式计算的，这样可以更好地表示质量、动量和热量的守恒定律。本文将FVCOM模拟与两种流行的有限差分模型（普林斯顿海洋模型和河口和沿海海洋模型（ECOM-si））的解析解和数值模拟进行了详细的比较。圆形湖泊的风致长面重力波，矩形和扇形通道的潮汐共振，弯曲和直线海岸线的大陆架淡水排放，以及底部地形陡峭的斜坡上的热底边界层。FVCOM使用非结构化的非重叠三角形网格单元更好地适应海岸线的曲率，提供了更高的数值精度，并正确捕获了沿海海洋中潮汐、风和浮力引起的波和流的物理特性。该模型适用于河口，大陆架和区域盆地，具有复杂的海岸线和水深测量。
[1] An unstructured grid, finite volume, three-dimensional (3-D) primitive equation coastal ocean model (FVCOM) has been developed for the study of coastal ocean and estuarine circulation by Chen et al. (2003a). The finite volume method used in this model combines the advantage of finite element methods for geometric flexibility and finite difference methods for simple discrete computation. Currents, temperature, and salinity are computed using an integral form of the equations, which provides a better representation of the conservative laws for mass, momentum, and heat. Detailed comparisons are presented here of FVCOM simulations with analytical solutions and numerical simulations made with two popular finite difference models (the Princeton Ocean Model and Estuarine and Coastal Ocean Model (ECOM-si)) for the following idealized cases: wind-induced long-surface gravity waves in a circular lake, tidal resonance in rectangular and sector channels, freshwater discharge onto the continental shelf with curved and straight coastlines, and the thermal bottom boundary layer over the slope with steep bottom topography. With a better fit to the curvature of the coastline using unstructured nonoverlapping triangle grid cells, FVCOM provides improved numerical accuracy and correctly captures the physics of tide-, wind-, and buoyancy-induced waves and flows in the coastal ocean. This model is suitable for applications to estuaries, continental shelves, and regional basins that feature complex coastlines and bathymetry.