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    The Use of lce-Liquid Water Potential Temperature as a Thermodynamic Variable In Deep Atmospheric Models

    Source: Monthly Weather Review:;1981:;volume( 109 ):;issue: 005::page 1094
    Author:
    Tripoli, Gregory J.
    ,
    Cotton, William R.
    DOI: 10.1175/1520-0493(1981)109<1094:TUOLLW>2.0.CO;2
    Publisher: American Meteorological Society
    Abstract: Previous studies have shown liquid water potential temperature to be an inappropriate choice for a thermodynamic variable in a deep cumulus convection model. In this study, an alternate form of this variable called ice-liquid water potential temperature (?u) is derived. Errors resulting from approximations made are discussed, and an empirical form of the ?u equation is introduced which eliminates much of this error. Potential temperature lapse rates determined in saturated updrafts and unsaturated downdrafts by various ?u approximations, an equivalent potential temperature approximation and a conventional irreversible moist thermodynamic approximation are then compared to the potential temperature lapse rate determined from a rigorously derived reversible thermodynamic energy equation. These approximations are then extended to a precipitating system where comparisons are again made. It is found that the errors using the empirical form of the ?u equation are comparable to those made using conventional irreversible moist thermodynamic approximations. The advantages of using ?u as an alternative to ? in deep convection and second-order closure models also are discussed.
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      The Use of lce-Liquid Water Potential Temperature as a Thermodynamic Variable In Deep Atmospheric Models

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4200491
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    contributor authorTripoli, Gregory J.
    contributor authorCotton, William R.
    date accessioned2017-06-09T16:03:25Z
    date available2017-06-09T16:03:25Z
    date copyright1981/05/01
    date issued1981
    identifier issn0027-0644
    identifier otherams-59884.pdf
    identifier urihttp://onlinelibrary.yabesh.ir/handle/yetl/4200491
    description abstractPrevious studies have shown liquid water potential temperature to be an inappropriate choice for a thermodynamic variable in a deep cumulus convection model. In this study, an alternate form of this variable called ice-liquid water potential temperature (?u) is derived. Errors resulting from approximations made are discussed, and an empirical form of the ?u equation is introduced which eliminates much of this error. Potential temperature lapse rates determined in saturated updrafts and unsaturated downdrafts by various ?u approximations, an equivalent potential temperature approximation and a conventional irreversible moist thermodynamic approximation are then compared to the potential temperature lapse rate determined from a rigorously derived reversible thermodynamic energy equation. These approximations are then extended to a precipitating system where comparisons are again made. It is found that the errors using the empirical form of the ?u equation are comparable to those made using conventional irreversible moist thermodynamic approximations. The advantages of using ?u as an alternative to ? in deep convection and second-order closure models also are discussed.
    publisherAmerican Meteorological Society
    titleThe Use of lce-Liquid Water Potential Temperature as a Thermodynamic Variable In Deep Atmospheric Models
    typeJournal Paper
    journal volume109
    journal issue5
    journal titleMonthly Weather Review
    identifier doi10.1175/1520-0493(1981)109<1094:TUOLLW>2.0.CO;2
    journal fristpage1094
    journal lastpage1102
    treeMonthly Weather Review:;1981:;volume( 109 ):;issue: 005
    contenttypeFulltext
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