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The Definition of the Mesoscale.

(Note: NOAA ARL is no longer running the RAMS mesoscale model.)
Mesoscale models are used to simulate sub-grid scale phenomena not resolved by regional-scale models. The mesoscale ranges as defined by Orlanski (1975) :

Scale Range Examples Applicable Model
Micro-scale < 2 km Turbulent eddies LES model
Meso-gamma 2-20 km Thunderstorm convection, complex terrain flows Non-hydrostatic (ARPS)
Meso-beta 20-200 km land-water, sea breezes Non-hydrostatic, hydrostatic (MM5, RAMS)
Meso-alpha 200-2000 km Fronts, low-pressure systems Hydrostatic (Eta,AVN)

Non-hydrostatic processes are important when the vertical motions in the atmosphere are changing rapidly. The non-hydrostatic criteria is defined when the ratio of the height (H) to the length (L) scale of an atmospheric circulation is much less than 1 (H/L << 1). For example, deep convection non-hydrostatic effects must be parameterized since the length scale is order 1-2 km, but the height of the circulation can reach the top of the troposphere (10 km). Mesoscale models normally include non-hydrostatic effects when the model grid spacing is set finer than 10 km.

Popular mesoscale models in use today:

Model Institution Grid-spacing Air Quality Applications
MM5 NCAR/PSU 1-100 km multi-events to seasonal air quality assessments. Key meteorological driver of EPA/MODELS-3
RAMS: The Regional Atmospheric Modeling System CSU/Mission Research Corp. 100 m -100 km LES, ozone studies along Lake Michigan and OTAG area, deposition over Chesapeake Bay
ARPS : Advanced Regional Prediction System U. Oklahoma 1-10 km Primarily thunderstorm simulations
Eta NWS/NCEP 10-32 km Regional modeling, seasonal assessments with Hy-Split
LAPS: Local Analysis and Prediction System NOAA/FSL 2-10 km High resolution analysis of non-standard met.data used for emergency assessment
MAPS/RUC : Mesoscale Analysis and Prediction System NOAA/FSL 25 km Regional analysis and prediction, Visiblity assessments
OMEGA : Operational Multi-scale Environmental model with Grid Adaptivity SAIC 1-30 km Local analyses and prediction