Symmetric Equations on the Surface of a Sphere

The following model information relates to the paper "Symmetric Equations on the Surface of a Sphere" by Russell et al. (2018). Most links below are to PDF documents.

Source code:   README,   Solid Body Rotation,   Rossby-Haurwitz Wave 3,   Earth bottom topography

Equivalences:   ∇h,   ∇·D,   ∇²h,   ∇×D,   Advection,   Vorticity

Notes:   Expanded Table 1,   Edge Advection,   Vorticity,   Vector Invariant,   3 vs 2 components,   RHn

Short presentation:   PDF,   PowerPoint

Related YouTube videos

Reference:
Russell, G.L., D.H. Rind, and J. Jonas, 2018: Symmetric equations on the surface of a sphere as used by Model GISS:IB. Geosci. Model Dev., 11, 4637-4656, doi:10.5194/gmd-11-4637-2018.

ModelE Data Links

AR5 vs. Observations,   Ocean Tides Video (YouTube),   Model Lecture (YouTube)

Fast Atmosphere-Ocean Model: CO2 Experiments

In the Fast version of the AOM model, FAOM, the ocean depth is limited to 100 m which reduces the ocean heat transport to 30%, but allows the model to reach full equilibrium in less than 100 simulated years.

Description of Condensation Routines

Line Graphs as Function of Time

Surface Air Temperature (°C)
Precipitation (mm/day)
Water Vapor Mass (kg/m²)
Sea Ice Cover (%) of Ocean
Heat Flux into Ocean (W/m²)
Planetary Albedo (%)
Outw. Thermal Rad. of Planet (W/m²)
Thermal Rad. GH Effect (W/m²)
Cloud Optical Depth

Total Cloud Cover (%)
High Cloud Cover (%)
Low Cloud Cover (%)
Cloud Top Pressure (mb)

Line Graphs as Function of Latitude

Surface Air Temperature (°C)
Precipitation (mm/day)
Water Vapor Mass (kg/m²)
Sea Ice Cover (%) of Ocean

Planetary Albedo (%)
Outw. Thermal Rad. of Planet (W/m²)
Thermal Rad. GH Effect (W/m²)
Cloud Optical Depth

Total Cloud Cover (%)
High Cloud Cover (%)
Low Cloud Cover (%)
Cloud Top Pressure (mb)

Static Energy Convergence by Dynamics (W/m²)
Static Energy Convergence by Radiation (W/m²)
Static Energy Convergence by Dry Convection (W/m²)
Static Energy Convergence by Condensation (W/m²)
Static Energy Convergence by Surface Interaction (W/m²)

Line Graphs as Function of Pressure

Temperature (°C)
Temperature Lapse Rate (°C/km)
Specific Humidity (g/kg)
Relative Humidity (%)

Reference:
Russell, G.L., A.A. Lacis, D.H. Rind, C. Colose, and R.F. Opstbaum, 2013: Fast atmosphere-ocean model runs with large changes in CO2. Geophys. Res. Lett., 40, 5787-5792, doi:10.1002/2013GL056755.

Contact

Please address questions about the AOM website to Dr. Gary Russell.

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