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    The Use of an Exact Solution of the Navier–Stokes Equations in a Validation Test of a Three-Dimensional Nonhydrostatic Numerical Model

    Source: Monthly Weather Review:;1993:;volume( 121 ):;issue: 008::page 2420
    Author:
    Shapiro, Alan
    DOI: 10.1175/1520-0493(1993)121<2420:TUOAES>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: An exact analytic solution of the Navier?Stokes equations is used to validate a three-dimensional nonhydrostatic numerical flow model, the Advanced Regional Prediction System developed at the Center for Analysis and Prediction of Storms. The exact solution is a viscously decaying extension of a Beltrami flow used in previous studies of thunderstorm rotation, and consists of a periodic array of counterrotating updrafts and downdrafts. This flow is noteworthy in that it is three-dimensional, free of singularities, and satisfies the Navier?Stokes equations with nontrivial (i.e., nonvanishing) inertial terms. The simple form of the analytic solution and its provision for arbitrarily large spatial gradients suggest its potential utility in validating numerical flow models and in testing the relative merits of various numerical solution algorithms.
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      The Use of an Exact Solution of the Navier–Stokes Equations in a Validation Test of a Three-Dimensional Nonhydrostatic Numerical Model

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4203125
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    contributor authorShapiro, Alan
    date accessioned2017-06-09T16:09:34Z
    date available2017-06-09T16:09:34Z
    date copyright1993/08/01
    date issued1993
    identifier issn0027-0644
    identifier otherams-62253.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4203125
    description abstractAn exact analytic solution of the Navier?Stokes equations is used to validate a three-dimensional nonhydrostatic numerical flow model, the Advanced Regional Prediction System developed at the Center for Analysis and Prediction of Storms. The exact solution is a viscously decaying extension of a Beltrami flow used in previous studies of thunderstorm rotation, and consists of a periodic array of counterrotating updrafts and downdrafts. This flow is noteworthy in that it is three-dimensional, free of singularities, and satisfies the Navier?Stokes equations with nontrivial (i.e., nonvanishing) inertial terms. The simple form of the analytic solution and its provision for arbitrarily large spatial gradients suggest its potential utility in validating numerical flow models and in testing the relative merits of various numerical solution algorithms.
    publisherAmerican Meteorological Society
    titleThe Use of an Exact Solution of the Navier–Stokes Equations in a Validation Test of a Three-Dimensional Nonhydrostatic Numerical Model
    typeJournal Paper
    journal volume121
    journal issue8
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1993)121<2420:TUOAES>2.0.CO;2
    journal fristpage2420
    journal lastpage2425
    treeMonthly Weather Review:;1993:;volume( 121 ):;issue: 008
    contenttypeFulltext
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