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    A Direct Inverse Method for Inferring Open Boundary Conditions of a Finite-Element Linear Harmonic Ocean Circulation Model

    Source: Journal of Atmospheric and Oceanic Technology:;1998:;volume( 015 ):;issue: 006::page 1379
    Author:
    Xu, Zhigang
    DOI: 10.1175/1520-0426(1998)015<1379:ADIMFI>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: A direct inverse method is presented for inferring numerical model open boundary conditions from interior observational data. The dynamical context of the method is the frequency-domain 3D linear shallow water equations. A set of weight matrices is derived via finite-element discretization of the dynamical equations. The weight matrices explicitly express any interior solution of elevations or velocities as a weighted sum of boundary elevations. The interior data assimilation is then cast as a regression problem. The weight matrix may be singular, which implies there may be an infinite set of boundary conditions that fit the data equally well. With the singular value decomposition technique, a general solution is provided for this infinite set of minimum-squared-misfit boundary conditions. Among them, a particular boundary condition, which minimizes potential energy on the boundary (hence the whole domain), is studied in detail: its confidence interval is defined and a way to smooth it is discussed. Green?s function maps for the weight matrix provide insights into the dynamics inherent to the model domain. Such maps should be useful for many purposes. One of their usages demonstrated in this paper is to provide a physical explanation for the singularity of the system. Also discussed are how to assess the compatibility between data and the model and how to design a null-space smoothing device for smoothing the potential energy minimum boundary condition. While maintaining the goodness of fit between data and model, smoothing of the boundary condition may improve the interior solutions at the locations where the data have poor control. The method is tested in a realistic domain but with synthetic data. The test yields very satisfactory results. Application of the method to Lardner?s open bay tidal problem demonstrates its advantages in computational accuracy and inexpensiveness.
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      A Direct Inverse Method for Inferring Open Boundary Conditions of a Finite-Element Linear Harmonic Ocean Circulation Model

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4150256
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    contributor authorXu, Zhigang
    date accessioned2017-06-09T14:12:27Z
    date available2017-06-09T14:12:27Z
    date copyright1998/12/01
    date issued1998
    identifier issn0739-0572
    identifier otherams-1467.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4150256
    description abstractA direct inverse method is presented for inferring numerical model open boundary conditions from interior observational data. The dynamical context of the method is the frequency-domain 3D linear shallow water equations. A set of weight matrices is derived via finite-element discretization of the dynamical equations. The weight matrices explicitly express any interior solution of elevations or velocities as a weighted sum of boundary elevations. The interior data assimilation is then cast as a regression problem. The weight matrix may be singular, which implies there may be an infinite set of boundary conditions that fit the data equally well. With the singular value decomposition technique, a general solution is provided for this infinite set of minimum-squared-misfit boundary conditions. Among them, a particular boundary condition, which minimizes potential energy on the boundary (hence the whole domain), is studied in detail: its confidence interval is defined and a way to smooth it is discussed. Green?s function maps for the weight matrix provide insights into the dynamics inherent to the model domain. Such maps should be useful for many purposes. One of their usages demonstrated in this paper is to provide a physical explanation for the singularity of the system. Also discussed are how to assess the compatibility between data and the model and how to design a null-space smoothing device for smoothing the potential energy minimum boundary condition. While maintaining the goodness of fit between data and model, smoothing of the boundary condition may improve the interior solutions at the locations where the data have poor control. The method is tested in a realistic domain but with synthetic data. The test yields very satisfactory results. Application of the method to Lardner?s open bay tidal problem demonstrates its advantages in computational accuracy and inexpensiveness.
    publisherAmerican Meteorological Society
    titleA Direct Inverse Method for Inferring Open Boundary Conditions of a Finite-Element Linear Harmonic Ocean Circulation Model
    typeJournal Paper
    journal volume15
    journal issue6
    journal titleJournal of Atmospheric and Oceanic Technology
    identifier doi10.1175/1520-0426(1998)015<1379:ADIMFI>2.0.CO;2
    journal fristpage1379
    journal lastpage1399
    treeJournal of Atmospheric and Oceanic Technology:;1998:;volume( 015 ):;issue: 006
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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