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Governing Equations
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Atmosphere Surface Prediction (ASP)
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Background
Contents
Dynamic Core
Subsections
Governing Equations
Variable transformations
Inclusion of Moisture
Mass continuity equation
Final Flux Form prognostic Equations
Vertical velocity
Omega diagnostic
Non-Hydrostatic Surface Pressure
Vertical Hybrid dry-hydrostatic mass Coordinate
Diffusion and filters
Divergence damping
Horizontal diffusion
Vertical diffusion
Lateral Boundary Conditions
Relaxation coefficients
Relaxation formulation used in ASP
Vertical velocity damping at the top of the atmosphere
Nudging - Data Assimilation
Final generic form of prognostic equations including all sources
Horizontal discretization
Scalar horizontal advection
Wind component horizontal advection
Horizontal advection discretization: flux form
Horizontal advection discretization: advective form
Horizontal diffusive flux discretization
Vertical discretization
Perturbation about a reference state
Vertical integration of the hydrostatic equation
Vertical discretization of the pressure gradient terms
Vertical advection of geopotential
Temporal discretization
Runge-Kutta (RK)
Time splitting of the RK steps
Map Factors
Curvature terms
Finite difference forms of the curvature terms
Global grid
Pole Points
Filtering
