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Analysis of Discrete Shallow-Water Models on Geodesic Delaunay Grids with C-Type Staggering
Publisher: American Meteorological Society
Abstract: The properties of C-grid staggered spatial discretizations of the shallow-water equations on regular Delaunay triangulations on the sphere are analyzed. Mass-conserving schemes that also conserve either energy or potential ...
Factors Controlling Nonlinearity in Mechanically Forced Stationary Waves over Orography
Publisher: American Meteorological Society
Abstract: The forcing of stationary waves by the earth?s large-scale orography is studied using a nonlinear stationary wave model based on the quasigeostrophic equations. The manner in which wind speed, meridional temperature gradient, ...
Prognostic Residual Mean Flow in an Ocean General Circulation Model and its Relation to Prognostic Eulerian Mean Flow
Publisher: American Meteorological Society
Abstract: ecent work has shown that taking the thickness-weighted average (TWA) of the Boussinesq equations in buoyancy coordinates results in exact equations governing the prognostic residual mean flow where eddy?mean flow interactions ...
A Scale-Invariant Formulation of the Anticipated Potential Vorticity Method
Publisher: American Meteorological Society
Abstract: he long-term success of climate models that operate on multiresolution grids depends on access to subgrid parameterizations that act appropriately across a wide range of spatial and temporal scales. As the first step in a ...
Quantifying Residual, Eddy, and Mean Flow Effects on Mixing in an Idealized Circumpolar Current
Publisher: American Meteorological Society
Abstract: AbstractMeridional diffusivity is assessed for a baroclinically unstable jet in a high-latitude idealized circumpolar current (ICC) using the Model for Prediction across Scales Ocean (MPAS-O) and the online Lagrangian in ...
A Potential Enstrophy and Energy Conserving Numerical Scheme for Solution of the Shallow-Water Equations on a Geodesic Grid
Publisher: American Meteorological Society
Abstract: Using the shallow water equations, a numerical framework on a spherical geodesic grid that conserves domain-integrated mass, potential vorticity, potential enstrophy, and total energy is developed. The numerical scheme is ...
The ZM Grid: An Alternative to the Z Grid
Publisher: American Meteorological Society
Abstract: Shallow-water equations discretized on a perfect hexagonal grid are analyzed using both a momentum formulation and a vorticity-divergence formulation. The vorticity-divergence formulation uses the unstaggered Z grid that ...
A Scale-Aware Anticipated Potential Vorticity Method: On Variable-Resolution Meshes
Publisher: American Meteorological Society
Abstract: scale-aware formulation of the anticipated potential vorticity method (APVM), previously derived for quasi-uniform unstructured grids, is evaluated on multiresolution grids. Comparison is made to the original, nonscale-aware ...
Impact of Variable-Resolution Meshes on Midlatitude Baroclinic Eddies Using CAM-MPAS-A
Publisher: American Meteorological Society
Abstract: he effects of a variable-resolution mesh on simulated midlatitude baroclinic eddies in idealized settings are examined. Both aquaplanet and Held?Suarez experiments are performed using the Model for Prediction Across ...
An Incremental Remapping Transport Scheme on a Spherical Geodesic Grid
Publisher: American Meteorological Society
Abstract: Weather and climate models contain equations for transporting conserved quantities such as the mass of air, water, ice, and associated tracers. Ideally, the numerical schemes used to solve these equations should be ...