Loading in 5 sec....

An overview of the theory behind the Dionysos equationsPowerPoint Presentation

An overview of the theory behind the Dionysos equations

Download Presentation

An overview of the theory behind the Dionysos equations

Loading in 2 Seconds...

- 70 Views
- Uploaded on
- Presentation posted in: General

An overview of the theory behind the Dionysos equations

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -

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

- 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

F

F

F

F

F

Forcing

Ageostrophic vorticity tendency term

Included using an iterative process using non-linear balance equation

Only Assumption : Hydrostatic

Generalized Omega Equation (Räisänen, MWR 1995)

Forcing

Model Input - 3 hours intervals

Diagnostics Output Times

Diagnostic Sequence

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

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

Diagnostics of Vorticity Tendencies

Full Vorticity Equation - No Assumptions

Laplacian of sensible heating

Vorticity Tendency - Thermodynamic forcing

Laplacian of Sensible Heating

Diagnostics of vorticity tendencies

Vorticity advection

Vorticity Tendency - Dynamic forcing

Vorticity Advection

Diagnostics of vorticity tendencies

Thermodyamic Equation

Diagnostics of temperature tendencies

Laplacian of latent heat release

Contribution of Latent Heat Released

(Example of thermodynamic forcing)

Diagnostics of temperature tendencies

Friction

Contribution of Friction

(Example of Dynamic Forcing)

Diagnostics of temperature tendencies