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An Efficient Semi-Lagrangian and Alternating Direction Implicit Method for Integrating the Shallow Water Equations
Publisher: American Meteorological Society
Abstract: A grid-point method for integrating the shallow water equations based on a split semi-Lagrangian treatment of advection and an Eulerian alternating direction implicit treatment of the adjustment terms is presented. The ...
A Generalization of the CISK Theory
Publisher: American Meteorological Society
Abstract: The CISK theory is generalized by incorporating an explicit solution of the time-dependent boundary layer equations for the case of exponential growth and allowing the interior flow to be unbalanced. Two separate modes of ...
Multiply-Upstream, Semi-Lagrangian Advective Schemes: Analysis and Application to a Multi-Level Primitive Equation Model
Publisher: American Meteorological Society
Abstract: The stability properties of some simple semi-Lagrangian advective schemes, based on a multiply-upstream interpolation, are examined. In these schemes, the interpolation points are chosen to surround the departure points ...
Improving the Estimate of the Departure Point Position in a Two-Time Level Semi-Lagrangian and Semi-Implicit Scheme
Publisher: American Meteorological Society
Abstract: A method for improving the estimate of the departure point position in a two-time level semi-Lagrangian integration scheme is introduced. It involves ?centering in space and time? to arrive at the best value of the advecting ...
Semi-Lagrangian Integration of a Gridpoint Shallow Water Model on the Sphere
Publisher: American Meteorological Society
Abstract: A stable, semi-Lagrangian, semi-implicit, two-time-level, gridpoint integration scheme for the shallow water equations on the sphere is presented. A rotated spherical coordinate system is used to integrate the equations ...
A Global Multilevel Atmospheric Model Using a Vector Semi-Lagrangian Finite-Difference Scheme. Part I: Adiabatic Formulation
Publisher: American Meteorological Society
Abstract: An adiabatic global multilevel primitive equation model using a two time-level, semi-Lagrangian semi-implicit finite-difference integration scheme is presented. A Lorenz grid is used for the vertical discretization and a ...
On the Application of the Arakawa-Schubert Convective Parameterization Scheme
Publisher: American Meteorological Society
Abstract: The Arakawa-Schubert (1974) convective parameterization scheme is applied to a quasi-geostrophic CISK model with continuous vertical resolution. Considering only the effects of non-entraining clouds and assuming that the ...
Integration of the Shallow Water Equations on the Sphere Using a Vector Semi-Lagrangian Scheme with a Multigrid Solver
Publisher: American Meteorological Society
Abstract: A vector semi-Lagrangian semi-implicit two-time-level finite-difference integration scheme for the shallow water equations on the sphere is presented. A C-grid is used for the spatial differencing. The trajectory-centered ...
Four-Dimensional Variational Data Assimilation Experiments with a Multilevel Semi-Lagrangian Semi-Implicit General Circulation Model
Publisher: American Meteorological Society
Abstract: Four-dimensional variational data assimilation (VDA) experiments have been carded out using the adiabatic version of the NASA/Goddard Laboratory for Atmospheres semi-Lagrangian semi-implicit (SLSI) multilevel general ...