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    A Variational Method for Analyzing Vortex Flows in Radar-Scanned Tornadic Mesocyclones. Part I: Formulations and Theoretical Considerations 

    Source: Journal of the Atmospheric Sciences:;2021:;volume( 078 ):;issue: 003:;page 825
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
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    The Existence and Stability of Steady Circulations in a Conditionally Symmetrically Unstable Basic Flow 

    Source: Journal of the Atmospheric Sciences:;1987:;Volume( 044 ):;issue: 020:;page 3020
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: By treating the latent heating as an energy source which is implicitly related to the motion field, the existence of steady nonlinear circulations in a flow susceptible to Conditionally Symmetric Instability (CSI) is ...
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    Cold and Warm Frontal Circulations in an Idealized Moist Semigeostrophic Baroclinic Wave 

    Source: Journal of the Atmospheric Sciences:;1989:;Volume( 047 ):;issue: 019:;page 2337
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: Diagnoses are presented of the three-dimensional vertical circulation for a coupled cold-warm frontal system in an idealized moist semi-geostrophic (SG) baroclinic wave. The vertical circulation is computed in SG space ...
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    A Theoretical Study of Cold Air Damming 

    Source: Journal of the Atmospheric Sciences:;1989:;Volume( 047 ):;issue: 024:;page 2969
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: The dynamics of cold air damming are examined analytically with a two-layer steady state model. The upper layer is a warm and saturated cross-mountain (easterly or southeasterly onshore) flow. The lower layer is a cold ...
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    Generalized Adjoint for Physical Processes with Parameterized Discontinuities. Part I: Basic Issues and Heuristic Examples 

    Source: Journal of the Atmospheric Sciences:;1996:;Volume( 053 ):;issue: 008:;page 1123
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: Symbolic operations are used together with delta functions to derive the generalized adjoint method for physical processes that contain first-order discontinuities caused by parameterized on/off switches with zero-order ...
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    Extended Sawyer–Eliassen Equation for Frontal Circulations in the Presence of small Viscous Moist Symmetric Stability 

    Source: Journal of the Atmospheric Sciences:;1988:;Volume( 046 ):;issue: 017:;page 2671
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: The Sawyer?Eliassen (S?E) equation for frontal circulations forced by a geostrophic stretching deformation is extended to include the effects of both negative moist potential vorticity (MPV) and eddy viscosity. Since the ...
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    Semibalance Model—Connection between Geostrophic-Type and Balanced-Type Intermediate Models 

    Source: Journal of the Atmospheric Sciences:;1994:;Volume( 051 ):;issue: 007:;page 953
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: A hybrid intermediate model, called the semibalance model, is derived from a single truncation of the vector vorticity equation with a balanced vorticity approximation that neglects the advection and stretching?tilting of ...
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    Generalized Adjoint for Physical Processes with Parameterized Discontinuities. Part II: Vector Formulations and Matching Conditions 

    Source: Journal of the Atmospheric Sciences:;1996:;Volume( 053 ):;issue: 008:;page 1143
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: Generalized tangent linear and adjoint equations are derived for a vector equation that contains a parameterized source term with discontinuous on/off switches controlled by a threshold condition. As an extension of Part ...
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    A.Formula for Eddy Viscosity in the Presence of Moist Symmetric Instability 

    Source: Journal of the Atmospheric Sciences:;1988:;Volume( 045 ):;issue: 001:;page 5
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: Liny's formula for eddy viscosity in the presence of purely convective instability is extended by including both the buoyancy and inertial contributions to the turbulence energy in a slantwise convection of moist symmetric ...
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    Ageostrophic Pseudovorticity and Geostrophic C-Vector Forcing—A New Look at the Q Vector in Three Dimensions 

    Source: Journal of the Atmospheric Sciences:;1992:;Volume( 049 ):;issue: 012:;page 981
    Author(s): Xu, Qin
    Publisher: American Meteorological Society
    Abstract: By combining the two Q-vector component equations with the third quasigeostrophic (QG) diagnostic equation (the vertical ageostrophic vorticity equation) a complete set of QG diagnostic equations is formed in a three-dimensional ...
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