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首页> 外文学位 >Development and testing of a two-dimensional potential enstrophy conserving numerical ocean model and a three-dimensional potential enstrophy conserving nonhydrostatic compressible numerical atmospheric model.
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Development and testing of a two-dimensional potential enstrophy conserving numerical ocean model and a three-dimensional potential enstrophy conserving nonhydrostatic compressible numerical atmospheric model.

机译：开发并测试了二维潜在的涡流保持数值海洋模型和三维潜在的涡流保持非静压可压缩数值大气模型。

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摘要

In this dissertation, we present the design and development of a new 2-D mass, energy, vorticity, and potential enstrophy conserving ocean model. In addition, we present a new 3-D compressible nonhydrostatic atmospheric model that also conserves mass, energy, vorticity, and potential enstrophy under the appropriate conditions.; The 2-D ocean model is derived from a potential enstrophy (PE), vorticity, energy, and mass conserving scheme and modified to have the following new features: (1) arbitrarily shaped land bodies in the flow domain such as continents, islands, bays, peninsulas, etc.; (2) numerics for both inviscid and viscous flows; (3) generalization from Cartesian and spherical coordinates to any 2-D orthogonal curvilinear coordinate system, including Cartesian, cylindrical, spherical, Lambert, and any numerically generated 2-D orthogonal grid, either on a flat plane or on the surface of a sphere; and (4) significant enhancement of potential enstrophy conservation through the use of the fourth order Runge-Kutta (RK4) time integration scheme. We find that the use of RK4 improves PE conservation by 5 to 6 orders of magnitude in comparison with the traditional leapfrog-Matsuno (LFM) scheme. Model tests are performed to verify the accuracy and PE conserving property of the model. Sample simulations demonstrate its applicability to physical geometries on different scales. We also find that with the addition of appropriate wind stress and bottom friction terms, the model is able to capture the main features of the observed oceanic surface circulation.; The 3-D nonhydrostatic atmosphere model is a generalization of the scheme for the 2-D ocean model and has the following unique combination of features: (1) Conservation of potential enstrophy in the limit of barotropic flow in 2-1); (2) Conservation of total energy (kinetic plus potential plus internal energy) for frictionless flow in 3-D; (3) Conservation of mass in 3-D; and (4) Conservation of potential enthalpy (the product of specific heat, density, and potential temperature) for adiabatic flow in 3-D.
机译：在本文中，我们提出了一种新的二维质量，能量，涡度和潜在的涡旋保护海洋模型的设计和开发。此外，我们提出了一种新的3-D可压缩非静压大气模型，该模型在适当的条件下还可以节省质量，能量，涡度和潜在的涡旋。二维海洋模型源自潜在的涡流（PE），涡度，能量和质量守恒方案，并经过修改后具有以下新特征：（1）在流域中任意形状的陆地，例如大陆，岛屿，海湾，半岛等； （2）粘性和粘性流的数值； （3）从笛卡尔坐标和球坐标到任何二维正交曲线坐标系，包括笛卡尔坐标，圆柱坐标，球坐标，兰伯特坐标以及任何数值生成的二维正交网格，无论是在平面上还是在球面上; （4）通过使用四阶Runge-Kutta（RK4）时间积分方案，显着增强了潜在的昆虫吸引保护。我们发现，与传统的蛙跳-松野（LFM）方案相比，使用RK4可以将PE养护提高5到6个数量级。执行模型测试以验证模型的准确性和PE保留属性。样本仿真证明了其适用于不同规模的物理几何形状。我们还发现，通过添加适当的风应力和底部摩擦项，该模型能够捕获观测到的海洋表面环流的主要特征。 3-D非静压大气模型是2-D海洋模型方案的概括，具有以下独特的特征组合：（1）在2-1的正压流量极限内保持潜在的涡旋； （2）保持3-D无摩擦流动的总能量（动能加势加内能）； （3）3维质量守恒； （4）保持3-D绝热流动的潜在焓（比热，密度和潜在温度的乘积）。

著录项

  • 作者

    Ketefian, Gerard.;

  • 作者单位

    Stanford University.;

  • 授予单位 Stanford University.;
  • 学科 Physical Oceanography.; Atmospheric Sciences.
  • 学位 Ph.D.
  • 年度 2006
  • 页码 1260 p.
  • 总页数 1260
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类 海洋物理学;
  • 关键词

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