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Published **2007**
.

Written in English

- Physics Theses.

**Edition Notes**

Thesis (Ph.D.), Dept. of Physics, University of Toronto.

Contributions | Shepherd, Theodore (supervisor)., Polavarapu, Saroja (supervisor). |

The Physical Object | |
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Pagination | xxiv, 200 leaves. : ill. |

Number of Pages | 200 |

ID Numbers | |

Open Library | OL20303664M |

The problem of spurious excitation of gravity waves in the context of four-dimensional data assimilation is investigated using a simple model of balanced dynamics. The model admits a . The problem of spurious excitation of gravity waves in the context of four-dimensional data assimilation is investigated using a simple model of balanced dynamics. The model admits a chaotic vortical mode coupled to a comparatively fast gravity wave mode, and can be initialized such that the model evolves on a so-called slow manifold, where the fast motion is by: The problem of spurious excitation of gravity waves in the context of four-dimensional data assimilation is investigated using a simple model of balanced dynamics. The model admits a chaotic vortical mode coupled to a comparatively fast gravity wave mode, and can be initialized such that the model evolves on a so-called slow manifold, where the fast motion is by: In this paper, the current methods that are used for deriving the Gaussian cost function in four-dimensional variational (4D VAR) data assimilation, are extended to lognormal and mixed.

of four-dimensional variational assimilation (4D-Var) in the tropics when only wind or mass ﬁeld observations are available. Typically observed equatorial wave motion ﬁelds (Kelvin, mixed Rossby-gravity and n =1 equatorial Rossby waves) are assimilated in a non-linear shallow water model. Perfect observations on the full model grid are. A probabilistic theory for balance relations and balance dynamics is defined. The essential aspect of the theory is derived from the fact that the state of real physical systems is uncertain, and balance may be defined in terms of conditional probability density functions that account for this by: 6. The direct use of TOVS (TIROS Operational Vertical Sounder) cloud‐cleared radiances in a three/four‐dimensional variational data assimilation scheme is described. This scheme uses a fast radiative transfer model and its adjoint. Radiances are used together with all the other observational by: gravity waves in the ECMWF variational data assimilation system is described. An introduction to the alternative method of digital ﬁltering is also given. Table of contents 1. Introduction 2. Non-linear normal-mode initialization Basic method Vertical decomposition Horizontal decomposition Implicit initialization

Four-dimensional data assimilation tries to balance properly the roles of dynamical and observational information. Sequential estimation is presented as the proper framework for understanding this balance, and the Kalman filter as the optimal procedure for data by: Four-dimensional data assimilation tries to balance properly the roles of dynamical and observational information. Sequential estimation is presented as the proper framework for understanding this balance, and the Kalman filter as the optimal procedure for data by: Equations in the book show the properties of a material element, mass conservation, the balance of scalar quantity (such as salinity), and the mathematical behavior of the ocean and atmosphere. The book also addresses how the ocean-atmosphere system tends to adjust to equilibrium, both in the absence and presence of driving forces such as gravity. where ϕ 0 is the initial phase of the wave. The motivation for this study was, in part, to devise a method for determining the climatology of tropospheric gravity waves. Shutts, Kitchen, and Hoare () analyzed a large-amplitude gravity wave in the lower stratosphere detected by a radiosonde launched from Shanwell, UK. Figure shows the ascent profiles where we can clearly see pronounced.

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