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    Modal and Nonmodal Perturbations of Monochromatic High-Frequency Gravity Waves: Primary Nonlinear Dynamics 

    Source: Journal of the Atmospheric Sciences:;2007:;Volume( 064 ):;issue: 006:;page 1977
    Author(s): Achatz, Ulrich
    Publisher: American Meteorological Society
    Abstract: The primary nonlinear dynamics of high-frequency gravity waves (HGWs) perturbed by their most prominent normal modes (NMs) or singular vectors (SVs) in a rotating Boussinesq fluid have been studied by direct numerical ...
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    The Primary Nonlinear Dynamics of Modal and Nonmodal Perturbations of Monochromatic Inertia–Gravity Waves 

    Source: Journal of the Atmospheric Sciences:;2007:;Volume( 064 ):;issue: 001:;page 74
    Author(s): Achatz, Ulrich
    Publisher: American Meteorological Society
    Abstract: The breaking of an inertia?gravity wave (IGW), initiated by its leading normal modes (NMs) or singular vectors (SVs), and the resulting small-scale eddies are investigated by means of direct numerical simulations of a ...
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    A Two-Layer Model with Empirical Linear Corrections and Reduced Order for Studies of Internal Climate Variability 

    Source: Journal of the Atmospheric Sciences:;1999:;Volume( 056 ):;issue: 017:;page 3140
    Author(s): Achatz, Ulrich; Branstator, Grant
    Publisher: American Meteorological Society
    Abstract: This work discusses the formulation and testing of a simplified model of atmospheric dynamics. The model, which has only 200- and 700-mb streamfunctions as its prognostic fields, is designed to have a climate that approximates ...
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    Shear and Static Instability of Inertia–Gravity Wave Packets: Short-Term Modal and Nonmodal Growth 

    Source: Journal of the Atmospheric Sciences:;2006:;Volume( 063 ):;issue: 002:;page 397
    Author(s): Achatz, Ulrich; Schmitz, Gerhard
    Publisher: American Meteorological Society
    Abstract: The problem of nonmodal instabilities of inertia?gravity waves (IGW) in the middle atmosphere is addressed, within the framework of a Boussinesq model with realistic molecular viscosity and thermal diffusion, by singular-vector ...
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    Optimal Growth in Inertia–Gravity Wave Packets: Energetics, Long-Term Development, and Three-Dimensional Structure 

    Source: Journal of the Atmospheric Sciences:;2006:;Volume( 063 ):;issue: 002:;page 414
    Author(s): Achatz, Ulrich; Schmitz, Gerhard
    Publisher: American Meteorological Society
    Abstract: Using a hierarchy of three models of increasing realism and complexity, and expanding on a previous study, optimal perturbations of inertia?gravity wave (IGW) packets are studied with respect to several aspects. It is shown ...
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    Secondary Instabilities in Breaking Inertia–Gravity Waves 

    Source: Journal of the Atmospheric Sciences:;2011:;Volume( 069 ):;issue: 001:;page 303
    Author(s): Fruman, Mark D.; Achatz, Ulrich
    Publisher: American Meteorological Society
    Abstract: he three-dimensionalization of turbulence in the breaking of nearly vertically propagating inertia?gravity waves is investigated numerically using singular vector analysis applied to the Boussinesq equations linearized ...
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    Primitive-Equation-Based Low-Order Models with Seasonal Cycle. Part II: Application to Complexity and Nonlinearity of Large-Scale Atmosphere Dynamics 

    Source: Journal of the Atmospheric Sciences:;2003:;Volume( 060 ):;issue: 003:;page 478
    Author(s): Achatz, Ulrich; Opsteegh, J. D.
    Publisher: American Meteorological Society
    Abstract: A recently developed class of semiempirical low-order models is utilized for the reexamination of several aspects of the complexity and nonlinearity of large-scale dynamics in a GCM. Given their low dimensionality, these ...
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    Primitive-Equation-Based Low-Order Models with Seasonal Cycle. Part I: Model Construction 

    Source: Journal of the Atmospheric Sciences:;2003:;Volume( 060 ):;issue: 003:;page 465
    Author(s): Achatz, Ulrich; Opsteegh, J. D.
    Publisher: American Meteorological Society
    Abstract: In a continuation of previous investigations on deterministic reduced atmosphere models with compact state space representation, two main modifications are introduced. First, primitive equation dynamics is used to describe ...
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    A Conservative Integration of the Pseudo-Incompressible Equations with Implicit Turbulence Parameterization 

    Source: Monthly Weather Review:;2012:;volume( 141 ):;issue: 003:;page 861
    Author(s): Rieper, Felix; Hickel, Stefan; Achatz, Ulrich
    Publisher: American Meteorological Society
    Abstract: urran?s pseudo-incompressible equations are integrated in a mass and momentum conserving way with a new implicit turbulence model. This system is soundproof, which has two major advantages over fully compressible systems: ...
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    MS-GWaM: A Three-Dimensional Transient Gravity Wave Parametrization for Atmospheric Models 

    Source: Journal of the Atmospheric Sciences:;2024:;volume( 081 ):;issue: 007:;page 1181
    Author(s): Voelker, Georg S.; Bölöni, Gergely; Kim, Young-Ha; Zängl, Günther; Achatz, Ulrich
    Publisher: American Meteorological Society
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