FVCOM validation experiments: Comparisons with ROMS for three idealized barotropic test problems

FVCOM validation experiments: Comparisons with ROMS for three idealized barotropic test problems
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DOI:
10.1029/2007jc004557
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发表时间:
2008-07
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通讯作者:
Haosheng Huang;Changsheng Chen;G. Cowles;C. Winant;R. Beardsley;K. Hedstrom;D. Haidvogel
Haosheng Huang;Changsheng Chen;G. Cowles;C. Winant;R. Beardsley;K. Hedstrom;D. Haidvogel
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文献类型:
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作者:
Haosheng Huang;Changsheng Chen;G. Cowles;C. Winant;R. Beardsley;K. Hedstrom;D. Haidvogel

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[1]利用Rossby赤道孤立子、水跃和三维正压风驱动海盆三个理想化的基准试验问题对非结构化网格体积-体积沿海海洋模式(FVCOM)进行了评价。这些测试用例检查的数值色散和阻尼的属性,超临界流条件下的非线性平流方案的性能,和正压设置中的隐式垂直粘度方案的准确性,分别。它表明,FVCOM提供了整体的二阶空间精度的垂直平均方程(即,外部模式),并且随着网格分辨率的增加,模型计算的解显示出向解析解的快速收敛,而与特定的三角测量方法无关。举例说明FVCOM的能力,以促进局部网格细化和加速计算。FVCOM和结构网格区域海洋模拟系统(ROMS)之间的比较,这些测试用例。对于简单矩形域中的线性问题,即,在风力盆地的情况下,两种模型的性能相当相似。对于非线性情况,如Rossby赤道孤子,在水平分辨率相对较高的情况下,FVCOM中使用的二阶平流方案几乎与ROMS中实现的四阶平流方案一样精确。FVCOM利用计算流体力学的新发展来解决包含间断的流动问题。三维正压风驱动盆地的情况下所示的一个显着的特点是,FVCOM和ROMS模拟显示不同的响应网格大小的细化在水平和垂直。
[1] The unstructured-grid Finite-Volume Coastal Ocean Model (FVCOM) is evaluated using three idealized benchmark test problems: the Rossby equatorial soliton, the hydraulic jump, and the three-dimensional barotropic wind-driven basin. These test cases examine the properties of numerical dispersion and damping, the performance of the nonlinear advection scheme for supercritical flow conditions, and the accuracy of the implicit vertical viscosity scheme in barotropic settings, respectively. It is demonstrated that FVCOM provides overall a second-order spatial accuracy for the vertically averaged equations (i.e., external mode), and with increasing grid resolution the model-computed solutions show a fast convergence toward the analytic solutions regardless of the particular triangulation method. Examples are provided to illustrate the ability of FVCOM to facilitate local grid refinement and speed up computation. Comparisons are also made between FVCOM and the structured-grid Regional Ocean Modeling System (ROMS) for these test cases. For the linear problem in a simple rectangular domain, i.e., the winddriven basin case, the performance of the two models is quite similar. For the nonlinear case, such as the Rossby equatorial soliton, the second-order advection scheme used in FVCOM is almost as accurate as the fourth-order advection scheme implemented in ROMS if the horizontal resolution is relatively high. FVCOM has taken advantage of the new development in computational fluid dynamics in resolving flow problems containing discontinuities. One salient feature illustrated by the three-dimensional barotropic winddriven basin case is that FVCOM and ROMS simulations show different responses to the refinement of grid size in the horizontal and in the vertical.