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Local Mass Conservation and Velocity Splitting in PV-Based Balanced Models. Part II: Numerical Results
Publisher: American Meteorological Society
Abstract: The effects of enforcing local mass conservation on the accuracy of non-Hamiltonian potential-vorticity- based balanced models (PBMs) are examined numerically for a set of chaotic shallow-water f-plane vortical flows in a ...
Assessing the Numerical Accuracy of Complex Spherical Shallow-Water Flows
Publisher: American Meteorological Society
Abstract: The representation of nonlinear shallow-water flows poses severe challenges for numerical modeling. The use of contour advection with contour surgery for potential vorticity (PV) within the contour-advective semi-Lagrangian ...
The Diabatic Contour-Advective Semi-Lagrangian Algorithms for the Spherical Shallow Water Equations
Publisher: American Meteorological Society
Abstract: The diabatic contour-advective semi-Lagrangian (DCASL) algorithm is extended to the thermally forced shallow water equations on the sphere. DCASL rests on the partitioning of potential vorticity (PV) to adiabatic and ...
Local Mass Conservation and Velocity Splitting in PV-Based Balanced Models. Part I: The Hyperbalance Equations
Publisher: American Meteorological Society
Abstract: This paper considers stratified and shallow water non-Hamiltonian potential-vorticity-based balanced models (PBMs). These are constructed using the exact (Rossby or Rossby?Ertel) potential vorticity (PV). The most accurate ...
Using Polynomial Regression in Designing the Time Filters for the Leapfrog Time-Stepping Scheme
Publisher: American Meteorological Society
Abstract: general framework is presented based on the least squares polynomial regression to design time filters for the leapfrog time-stepping scheme with required amplitude and phase properties. The well-known Robert?Asselin filter ...
On the Quantification of Imbalance and Inertia–Gravity Waves Generated in Numerical Simulations of Moist Baroclinic Waves Using the WRF Model
Publisher: American Meteorological Society
Abstract: AbstractQuantification of inertia?gravity waves (IGWs) generated by upper-level jet?surface front systems and their parameterization in global models of the atmosphere relies on suitable methods to estimate the strength ...
On Imbalance Generated by Vortical Flows in a Two-Layer Spherical Boussinesq Primitive Equation Model
Publisher: American Meteorological Society
Abstract: he spontaneous adjustment emission of inertia?gravity waves is investigated by examining the amount of imbalance generated during the evolution of unstable jets in an isentropic two-layer primitive equation model on the ...
Toward a PV-Based Algorithm for the Dynamical Core of Hydrostatic Global Models
Publisher: American Meteorological Society
Abstract: he diabatic contour-advective semi-Lagrangian (DCASL) algorithms previously constructed for the shallow-water and multilayer Boussinesq primitive equations are extended to multilayer non-Boussinesq equations on the sphere ...
The Contour-Advective Semi-Lagrangian Algorithm for the Shallow Water Equations
Publisher: American Meteorological Society
Abstract: A new method for integrating shallow water equations, the contour-advective semi-Lagrangian (CASL) algorithm, is presented. This is the first implementation of a contour method to a system of equations for which exact ...
Revisiting Vacillations in Shallow-Water Models of the Stratosphere Using Potential-Vorticity-Based Numerical Algorithms
Publisher: American Meteorological Society
Abstract: olar vortex vacillations are investigated using long-term simulations of potential-vorticity (PV)-based shallow-water (SW) models for the stratosphere. In the models examined, mechanical forcing is applied through a ...
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