Where can i find the actual equations for the models

[year_2005]

I want to know the exact equations to the GFS model or other models. I know some dynamic meteorology and i know some equations used to model the weather but i would like to know the exact equations used in the GFS model

[Ptarmigan]

In all probabilities, the equations are very complex. In addition, they are run by computers.

[Stormhunter27]

Even the basic equations that the models use are incredibly complex. I suggest that you start with Holton's book: An Introduction to Dynamic Meteorology (that book still gives me nightmares) and then move to Bluestein's.

As for the exact equations for the GFS, I'm not sure that's even public knowledge. I assume that it is, but the models have been changed, tweaked, adjusted, etc to the point that I kinda doubt that anyone could actually tell you what they are. I know the Canadian model (GEM or CMC) runs to more than ten thousand lines of code and there's no real documentation of the exact changes that were made. One of my profs told me that even if I wanted to know the exact equations and parameterization the the GEM uses, it might be impossible to tell (until someone goes through it all and documents it).

[WxGuy1]

You can access the raw code for some models.

You can download the WRF code HERE (a configuration of which is run in the NAM slot). You can view more about the WRF code, configuration, etc., at http://www.mmm.ucar.edu/wrf/users/pub-doc.html . You can view the WRF ARW technical document (which does contain some equations that you are looking for) at http://www.mmm.ucar.edu/wrf/users/docs/arw_v3.pdf

You can read the user's guide and browse the code of the Advanced Regional Prediction System (ARPS) developed by CAPS at the University of Oklahoma HERE.

[DanKellFla]

Read up on 'Numerical Methods' and then check out what 'Finite Diference Analysis' is all about. The models aren't really one big equations. Think of the models as giant matricie where each matrix location is represented by an equation.
Gauss-Jordan anyone?

[thetruesms]

You can access the raw code for some models.

You can download the WRF code HERE (a configuration of which is run in the NAM slot). You can view more about the WRF code, configuration, etc., at http://www.mmm.ucar.edu/wrf/users/pub-doc.html . You can view the WRF ARW technical document (which does contain some equations that you are looking for) at http://www.mmm.ucar.edu/wrf/users/docs/arw_v3.pdf

You can read the user's guide and browse the code of the Advanced Regional Prediction System (ARPS) developed by CAPS at the University of Oklahoma HERE.

Speaking of downloading code, the GFS is available here: http://www.esrl.noaa.gov/psd/models/gfs/

From a glance, however, it does not look particularly user friendly.

There's a good bit of information on NCEP models here, as well, which you might want to look through if you've got the time: http://wwwt.emc.ncep.noaa.gov/