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Amplification of Forced Rossby Waves in the Presence of a Nonlinear Critical Layer
Publisher: American Meteorological Society
Abstract: The nondivergent barotropic vorticity equation is integrated numerically in order to investigate a potential resonance mechanism for Rossby waves on a shear flow in the presence of a nonlinear critical layer. lie numerical ...
Application of a Semi-Lagrangian Integration Scheme to the Moisture Equation in a Regional Forecast Model
Publisher: American Meteorological Society
Abstract: Scale-dependent phase errors are characteristic of Eulerian advection schemes and can lead to significant erroneous dispersion, especially for features whose length scales are near the resolution limits of a numerical ...
Eliminating the Interpolation Associated with the Semi-Lagrangian Scheme
Publisher: American Meteorological Society
Abstract: There are several reasons why it is desirable to eliminate the interpolation associated with the conventional semi-Larangian scheme. Interpolation leads to smoothing and is also the most costly operation associated with ...
Semi-Lagrangian Advection on a Gaussian Grid
Publisher: American Meteorological Society
Abstract: The treatment of advection is related to the stability, accuracy and efficiency of models used in numerical weather prediction. In order to remain stable, conventional Eulerian advection schemes must respect a Courant-Fr ...
Application of the Semi-Lagrangian Method to a Spectral Model of the Shallow Water Equations
Publisher: American Meteorological Society
Abstract: Previous tests with grid-point numerical weather prediction models have shown that semi-Lagrangian schemes permit the use of time steps that are much larger than those permitted by the Courant-Friedrichs-Lewy (CFL) stability ...
Approximations and Sensitivity Experiments with a Baroclinic Semi-Lagrangian Spectral Model
Publisher: American Meteorological Society
Abstract: This study examines the extensions that have been made to a basic semi-Lagrangian semi-implicit multilevel spectral primitive equation model in preparing it for use as an operational data assimilation and medium-range ...
A Comparison of Spatially Averaged Eulerian and Semi-Lagrangian Treatments of Mountains
Publisher: American Meteorological Society
Abstract: It has been demonstrated previously by both analysis and numerical integration that there is a serious problem incorporating orographic forcing into semi-implicit semi-Lagrangian models, since spurious resonance can develop ...
Analysis and Experiments with a Slow-Start Procedure
Publisher: American Meteorological Society
Abstract: Slow-start procedures were developed decades ago in order to provide a smoother evolution in numerical simulations performed with three-time-level integration schemes. The advantages of a slow start versus a conventional ...
A Semi-Lagrangian and Semi-Implicit Numerical Integration Scheme for Multilevel Atmospheric Models
Publisher: American Meteorological Society
Abstract: A complete multilevel atmospheric model of the primitive meteorological equations is integrated at high spatial resolution with a large time step of 90 min. Numerical stability is achieved by associating a semi-Lagrangian ...