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    INTEGRATION OF THE PRIMITIVE BAROTROPIC MODEL OVER A SPHERICAL GEODESIC GRID 

    Source: Monthly Weather Review:;1970:;volume( 098 ):;issue: 007:;page 512
    Author(s): WILLIAMSON, DAVID L.
    Publisher: American Meteorological Society
    Abstract: Conservative finite-difference approximations are developed for the primitive barotropic model over a spherical geodesic grid. Truncation error considerations show that the grid resolution must be at least as fine as 2½° ...
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    Normal Mode Initialization Procedure Applied to Forecasts with the Global Shallow Water Equations 

    Source: Monthly Weather Review:;1976:;volume( 104 ):;issue: 002:;page 195
    Author(s): Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: Conventional procedures designed to balance global initial data for primitive equation forecast models often result in unrealistic large-amplitude, high-frequency oscillations during the initial stages of the forecasts. ...
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    Time-Split versus Process-Split Coupling of Parameterizations and Dynamical Core 

    Source: Monthly Weather Review:;2002:;volume( 130 ):;issue: 008:;page 2024
    Author(s): Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: Simulations are compared to determine the effect of the details of the coupling of the parameterization suite with the dynamical core on the simulated climate. Simulations based on time-split and process-split couplings ...
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    The Relative Importance of Resolution, Accuracy and Diffusion in Short-Range Forecasts with the NCAR Global Circulation Model 

    Source: Monthly Weather Review:;1978:;volume( 106 ):;issue: 001:;page 69
    Author(s): Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: A series of 5-day forecasts is made with the National Center for Atmospheric Research (NCAR) Global Circulation Model (GCM) starting from the National Meteorological Center (NMC) analysis of 0000 GMT 11 January 1973. The ...
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    The Effect of Forecast Error Accumulation on Four-Dimensional Data Assimilation 

    Source: Journal of the Atmospheric Sciences:;1973:;Volume( 030 ):;issue: 004:;page 537
    Author(s): Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: Updating experiments performed with 5° and 2.5° versions of the NCAR Global Circulation Model are described. Either wind or temperature is updated. Little difference in the asymptotic error of the induced field is found ...
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    The Effect of Vertical Finite Difference Approximations on Simulations with the NCAR Community Climate Model 

    Source: Journal of Climate:;1988:;volume( 001 ):;issue: 001:;page 40
    Author(s): Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: Two commonly used vertical finite difference approximations produce markedly different simulations when adapted to the nine-level Community Climate Model assembled at the National Center for Atmospheric Research. The ...
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    Linear Stability of Finite-Difference Approximations on a Uniform Latitude-Longitude Grid with Fourier Filtering 

    Source: Monthly Weather Review:;1976:;volume( 104 ):;issue: 001:;page 31
    Author(s): Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: The linear stability condition for explicit, second-order, centered difference approximations to the shallow-water equations on a uniform latitude-longitude spherical grid is determined. The grid has points at the poles ...
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    A Unified Analysis-Initialization Technique 

    Source: Monthly Weather Review:;1983:;volume( 111 ):;issue: 008:;page 1517
    Author(s): Williamson, David L.; Daley, Roger
    Publisher: American Meteorological Society
    Abstract: A unified analysis-initialization technique is introduced and tested in the framework of the shallow water equations. It consists of iterating multivariate optimal interpolation and nonlinear normal mode initialization. ...
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    The Existence of Free Rossby Waves during January 1979 

    Source: Journal of the Atmospheric Sciences:;1985:;Volume( 042 ):;issue: 020:;page 2121
    Author(s): Daley, Roger; Williamson, David L.
    Publisher: American Meteorological Society
    Abstract: The large-scale transient components of atmospheric flow have been studied for many years. Observational studies indicate that large amplitude regularly westward propagating waves appear episodically in the atmosphere. ...
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    Normal Mode Initialization for a Multilevel Grid-Point Model. Part II: Nonlinear Aspects 

    Source: Monthly Weather Review:;1981:;volume( 109 ):;issue: 004:;page 744
    Author(s): Williamson, David L.; Temperton, Clive
    Publisher: American Meteorological Society
    Abstract: In Part II of this paper, we describe the nonlinear normal mode initialization applied to the ECMWF multilevel global grid-point model and show that the procedure is highly successful in eliminating spurious high-frequency ...
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