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An overview of the theory behind the Dionysos equations

Université du Québec à Montréal. An overview of the theory behind the Dionysos equations. Peter Zwack Jean-François Caron Christian Pagé. Department of Earth and Atmospheric Sciences www.dionysos.uqam.ca. Standard 50 hPa Gridded GEM Model (100km) Simulation Fields at 3 Hour Intervals.

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An overview of the theory behind the Dionysos equations

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  1. Université du Québec à Montréal An overview of the theory behind the Dionysos equations Peter Zwack Jean-François Caron Christian Pagé Department of Earth and Atmospheric Sciences www.dionysos.uqam.ca

  2. Standard 50 hPa Gridded GEM Model (100km) Simulation Fields at 3 Hour Intervals • Vorticity Advection • Friction* • Orography* • Laplacian Temperature Advection • Laplacian Latent Heating* • Laplacian Sensible Heating* Calculate Forcings Output * Parameterized Forcing Input Contribution of Individual Forcings Piecewise from Any Particular Part of the Atmosphere To Balance Diagnostics - DIONYSOS • Surface Pressure • Geopotential • Temperature • Horizontal Wind • Latent Heating Profile* • Surface Sensible Heat Flux • Orography • *Currently deduced using model vertical motion and precipitation • Vertical Motion • Vorticity Tendencies • Geostrophic Vorticity Tendencies • Divergence and divergent wind • Temperature Tendencies • Height and Pressure Tendencies • Vorticity and Temperature Advections Tendencies

  3. F F F F F Forcing Ageostrophic vorticity tendency term Included using an iterative process using non-linear balance equation Only Assumption : Hydrostatic Omega Equation Generalized Omega Equation (Räisänen, MWR 1995) Forcing

  4. Model Input - 3 hours intervals Diagnostics Output Times Diagnostic Sequence

  5. Continuity Equation Thermodynamic Equation • Vorticity Advection • Friction* • Orography* • Lap. Temperature Advection • Lap. Latent Heating* • Lap. Sensible Heat Flux* Vorticity Equation Dynamic Forcings Iteration to include the AG tendency as a correction term Thermodynamic Forcings * Parameterized Forcing Diagnostic Sequence Sequence for each individual forcing Model Input After all computations, all fields are filtered (<6Dx) to remove numerically generated noise Omega Equation Forcing Non Linear Balance Equation Geostrophic Definition

  6. Diagnostic - Vorticity Tendencies Diagnostics of Vorticity Tendencies Full Vorticity Equation - No Assumptions

  7. Laplacian of sensible heating Methodology - Vorticity Tendencies Vorticity Tendency - Thermodynamic forcing Laplacian of Sensible Heating Diagnostics of vorticity tendencies

  8. Vorticity advection Methodology - Vorticity Tendencies Vorticity Tendency - Dynamic forcing Vorticity Advection Diagnostics of vorticity tendencies

  9. Methodology - Temperature Tendencies Thermodyamic Equation Diagnostics of temperature tendencies

  10. Laplacian of latent heat release Methodology - Temperature Tendencies Contribution of Latent Heat Released (Example of thermodynamic forcing) Diagnostics of temperature tendencies

  11. Friction Methodology - Temperature Tendencies Contribution of Friction (Example of Dynamic Forcing) Diagnostics of temperature tendencies

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