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    An Accurate Semi-Lagrangian Scheme for Raindrop Sedimentation

    Source: Monthly Weather Review:;2003:;volume( 131 ):;issue: 005::page 974
    Author:
    Xiao, F.
    ,
    Okazaki, T.
    ,
    Satoh, M.
    DOI: 10.1175/1520-0493(2003)131<0974:AASSFR>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: An accurate method for explicitly computing the transport of rainwater is devised and tested. The scheme is conservative and positive definite. A cubic polynomial is employed to approximate the spatial distribution of the rainwater; thus, the resulting scheme is of high accuracy. With a slope modification, numerical oscillations can be easily eliminated in the vicinity of large gradients. Being essentially of Lagrangian type, the scheme is stable even with a Courant?Friedrichs?Lewy number larger than 1. The scheme was tested with the numerical example of Kato and was found to have a computational stability similar to the box-Lagrangian scheme, but it is more accurate.
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      An Accurate Semi-Lagrangian Scheme for Raindrop Sedimentation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4205191
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    • Monthly Weather Review

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    contributor authorXiao, F.
    contributor authorOkazaki, T.
    contributor authorSatoh, M.
    date accessioned2017-06-09T16:14:54Z
    date available2017-06-09T16:14:54Z
    date copyright2003/05/01
    date issued2003
    identifier issn0027-0644
    identifier otherams-64112.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4205191
    description abstractAn accurate method for explicitly computing the transport of rainwater is devised and tested. The scheme is conservative and positive definite. A cubic polynomial is employed to approximate the spatial distribution of the rainwater; thus, the resulting scheme is of high accuracy. With a slope modification, numerical oscillations can be easily eliminated in the vicinity of large gradients. Being essentially of Lagrangian type, the scheme is stable even with a Courant?Friedrichs?Lewy number larger than 1. The scheme was tested with the numerical example of Kato and was found to have a computational stability similar to the box-Lagrangian scheme, but it is more accurate.
    publisherAmerican Meteorological Society
    titleAn Accurate Semi-Lagrangian Scheme for Raindrop Sedimentation
    typeJournal Paper
    journal volume131
    journal issue5
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(2003)131<0974:AASSFR>2.0.CO;2
    journal fristpage974
    journal lastpage983
    treeMonthly Weather Review:;2003:;volume( 131 ):;issue: 005
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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