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3.1 Eulerian Dynamical Core
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2. Coupling of Dynamical
Contents
3. Dynamics
Subsections
3.1 Eulerian Dynamical Core
3.1.1 Generalized terrain-following vertical coordinates
3.1.2 Conversion to final form
3.1.3 Continuous equations using
3.1.4 Semi-implicit formulation
3.1.5 Energy conservation
3.1.6 Horizontal diffusion
3.1.7 Finite difference equations
3.1.8 Time filter
3.1.9 Spectral transform
3.1.10 Spectral algorithm overview
3.1.11 Combination of terms
3.1.12 Transformation to spectral space
3.1.13 Solution of semi-implicit equations
3.1.14 Horizontal diffusion
3.1.15 Initial divergence damping
3.1.16 Transformation from spectral to physical space
3.1.17 Horizontal diffusion correction
3.1.18 Semi-Lagrangian Tracer Transport
3.1.19 Mass fixers
3.1.20 Energy Fixer
3.1.21 Statistics Calculations
3.1.22 Reduced grid
3.2 Semi-Lagrangian Dynamical Core
3.2.1 Introduction
3.2.2 Vertical coordinate and hydrostatic equation
3.2.3 Semi-implicit reference state
3.2.4 Perturbation surface pressure prognostic variable
3.2.5 Extrapolated variables
3.2.6 Interpolants
3.2.7 Continuity Equation
3.2.8 Thermodynamic Equation
3.2.9 Momentum equations
3.2.10 Development of semi-implicit system equations
3.2.11 Trajectory Calculation
3.2.12 Mass and energy fixers and statistics calculations
3.3 Finite Volume Dynamical Core
3.3.1 Overview
3.3.2 The governing equations for the hydrostatic atmosphere
3.3.3 Horizontal discretization of the transport process on the sphere
3.3.4 A
vertically Lagrangian
and
horizontally Eulerian
control-volume discretization of the hydrodynamics
3.3.5 A mass, momentum, and total energy conserving mapping algorithm
3.3.6 Adjustment of specific humidity to conserve water
3.3.7 Further discussion
Jim McCaa 2004-06-22
