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Bifurcation and Stability in a Model of Moist Convection in a Shearing Environment
Publisher: American Meteorological Society
Abstract: The six-coefficient spectral model (model I) of two-dimensional shallow moist convection discussed by Shirer and Dutton (1979) is extended to an eleven component system (model II) in order that a height-dependent basic ...
Mixed Convective–Dynamic Roll Vortices and Their Effects on Initial Wind and Temperature Profiles
Publisher: American Meteorological Society
Abstract: The onset and development of both dynamically and convectively forced boundary-layer rolls are studied with linear and nonlinear analyses of a truncated spectral model of shallow Boussinesq flow. Emphasis is given here on ...
Improving Spectral Models By Unfolding Their Singularities
Publisher: American Meteorological Society
Abstract: Maximally truncated spectral models have been used recently by fluid and atmospheric dynamicists to study nonlinear behavior of the governing partial differential system. However, too few external control parameters may ...
A Parameterization Technique for Nonlinear Spectral Models
Publisher: American Meteorological Society
Abstract: The feasibility of developing an objective parameterization technique is examined for general nonlinear hydrodynamical systems. The typical structure of these hydrodynamical systems, regardless of their complexity, is one ...
A Simple Dynamical Model of a Stratocumulus-Topped Boundary Layer
Publisher: American Meteorological Society
Abstract: Some latent heating effects on horizontal wavenumber selection and cell circulation patterns in stratocumulus- topped boundary layers are investigated via a study of two-dimensional shallow moist Boussinesq convection. ...
Development of Boundary Layer Rolls from Dynamic Instabilities
Publisher: American Meteorological Society
Abstract: The development of atmospheric boundary layer rolls from the inflection point and parallel instabilities is examined analytically using several three-dimensional linear models of flow in a neutral, rotational fluid. These ...
Lake Aggregate Mesoscale Disturbances. Part I: Linear Analysis
Publisher: American Meteorological Society
Abstract: The steady boundary-layer responses that occur over the Great Lakes region during wintertime cold air outbreaks are examined using a two-dimensional, linear, analytic model. The planetary boundary layer (PBL) is modeled ...
Bifurcation and Stability of Low-Order Steady Flows in Horizontally and Vertically Forced Convection
Publisher: American Meteorological Society
Abstract: The response of a convecting fluid to externally imposed horizontal and vertical temperature gradients is fundamentally different from that obtained when only vertical forcing is present. Using a three-component spectral ...
Transitions in Shallow Convection: An Explanation for Lateral Cell Expansion
Publisher: American Meteorological Society
Abstract: A generalized seven-coefficient model of two-dimensional Rayleigh-Bénard convection is presented. The model simulates successfully one means by which lateral cell expansion can occur as the value of the imposed vertical ...
Compact Spatial Differencing Techniques in Numerical Modeling
Publisher: American Meteorological Society
Abstract: The accuracies of the usual centered differencing, compact differencing and finite element methods are compared linearly with a geostrophic adjustment problem and nonlinearly with a vorticity advection problem. The finite ...