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    Improving Variable-Resolution Finite-Element Semi-Lagrangian Integration Schemes by Pseudostaggering

    Source: Monthly Weather Review:;1990:;volume( 118 ):;issue: 012::page 2718
    Author:
    Côté, Jean
    ,
    Gravel, Sylvie
    ,
    Staniforth, Andrew
    DOI: 10.1175/1520-0493(1990)118<2718:IVRFES>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: It is known that straightforward finite-difference and finite-element discretizations of the shallow-water equations, in their primitive (u?v) form, can lead to energy propagation in the wrong direction for the small scales. Two solutions to this problem have been proposed in the past. The first of these is to define the dependent variables on grids which are staggered with respect to one another, and the second is to use the governing equations in their differentiated (vorticity-divergence) form. We propose a new scheme that works with the primitive form of the equations, uses an unstaggered grid but doesn't propagate small-scale energy in the wrong direction, works well with variable resolution, and is as computationally efficient as staggered formulations using the Primitive form of the equations. We refer to this approach as pseudostaggering since it achieve the benefits of a staggered formulation without a staggered placement of variables. The proposed method has been tested using the two-time-level variable resolution finite-element semi-Lagrangian model of the shallow-water equations proposed by Temperton the rms height and wind differences are smaller than or comparable to those of the Temperton and Staniforth scheme as well as to those of its semi-implicit Eulerian analogue with a much smaller time step. It leads to a 20% reduction in computational cost of the very efficient two-time-level semi-Lagrangian Temperton & Staniforth algorithm, and is an order-of-magnitude faster than its semi-implicit Eulerian analogue.
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      Improving Variable-Resolution Finite-Element Semi-Lagrangian Integration Schemes by Pseudostaggering

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4202517
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    contributor authorCôté, Jean
    contributor authorGravel, Sylvie
    contributor authorStaniforth, Andrew
    date accessioned2017-06-09T16:08:05Z
    date available2017-06-09T16:08:05Z
    date copyright1990/12/01
    date issued1990
    identifier issn0027-0644
    identifier otherams-61706.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4202517
    description abstractIt is known that straightforward finite-difference and finite-element discretizations of the shallow-water equations, in their primitive (u?v) form, can lead to energy propagation in the wrong direction for the small scales. Two solutions to this problem have been proposed in the past. The first of these is to define the dependent variables on grids which are staggered with respect to one another, and the second is to use the governing equations in their differentiated (vorticity-divergence) form. We propose a new scheme that works with the primitive form of the equations, uses an unstaggered grid but doesn't propagate small-scale energy in the wrong direction, works well with variable resolution, and is as computationally efficient as staggered formulations using the Primitive form of the equations. We refer to this approach as pseudostaggering since it achieve the benefits of a staggered formulation without a staggered placement of variables. The proposed method has been tested using the two-time-level variable resolution finite-element semi-Lagrangian model of the shallow-water equations proposed by Temperton the rms height and wind differences are smaller than or comparable to those of the Temperton and Staniforth scheme as well as to those of its semi-implicit Eulerian analogue with a much smaller time step. It leads to a 20% reduction in computational cost of the very efficient two-time-level semi-Lagrangian Temperton & Staniforth algorithm, and is an order-of-magnitude faster than its semi-implicit Eulerian analogue.
    publisherAmerican Meteorological Society
    titleImproving Variable-Resolution Finite-Element Semi-Lagrangian Integration Schemes by Pseudostaggering
    typeJournal Paper
    journal volume118
    journal issue12
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1990)118<2718:IVRFES>2.0.CO;2
    journal fristpage2718
    journal lastpage2731
    treeMonthly Weather Review:;1990:;volume( 118 ):;issue: 012
    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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