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The computation of the free barotropic oscillations of a global ocean model including friction and loading effects

机译：包含摩擦和载荷效应的全球海洋模型的自由正压振荡的计算

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A set of 61 normal modes with periods between 7.8 and 133.1 h has been calculated, using a 1° model of the global ocean, including the Arctic Ocean. The model explicitly considers frictional forces and ocean self-attraction and loading effects. The latter effects have generally been taken into account by parameterization, but for some modes the effects have also been considered fully. Due to friction, the computed eigenfrequencies are complex, exhibiting also the varying dissipative properties of the modes and their dependence on the distribution of potential and kinetic energies over the oceanic regions. In detail, gravity modes having periods less then 80 h and dominating the semi-diurnal and the diurnal tides, topographically controlled vorticity modes with periods longer than diurnal, and two planetary vorticity modes with periods of 96.8 and 119.4 h have been identified. These planetary vorticity modes have their energies distributed over Pacific, Atlantic, and Indian Oceans, while the other modes with periods longer than 80 h, as vorticity modes, have their energies concentrated on topographic structures of restricted extension. The modes are discussed with respect to their wave properties, e.g., concerning quasi-standing-wave resonances and to the appearance of Kelvin waves of different orders and trapped by different coastlines. In particular, the relevance of specific modes for the development of the fields of the most important semidiurnal and diurnal tidal constituents is investigated.
机译：使用包括北冰洋在内的全球海洋的1°模型，已计算出一组61个正常模式，周期在7.8和133.1 h之间。该模型明确考虑了摩擦力以及海洋的自吸和载荷效应。参数化通常考虑了后者的影响，但对于某些模式，也已充分考虑了这些影响。由于摩擦，所计算的本征频率很复杂，还表现出模式的耗散特性及其对海洋区域势能和动能分布的依赖性。详细地，已经确定了周期小于80小时并主导半日潮和日潮的重力模式，周期长于昼夜的地形控制涡旋模式以及周期为96.8和119.4 h的两个行星涡模式。这些行星涡模式的能量分布在太平洋，大西洋和印度洋上，而周期超过80小时的其他模式作为涡模式，其能量集中在受限制扩展的地形结构上。讨论了这些模式的波特性，例如，关于准驻波共振以及不同阶次并被不同海岸线包围的开尔文波的出现。特别是，研究了特定模式与最重要的半日潮和日潮潮成分发展领域的相关性。

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