[mturmon]

You might want to start with:

http://en.wikipedia.org/wiki/Numerical_weather_prediction

You say you want "some good papers", but I think you need a book, not an article or articles.

It's a big field, very broad, very well-developed, and quite technical on many levels (physical modeling, numerical propagation of PDEs, filtering/data assimilation). An international cast has contributed results and ideas for decades.

You might be able to find a survey article, but such an article would tend to be written for specialists. It tends to look like this:

http://people.sc.fsu.edu/~inavon/pubs/Springer_book.pdf [PDF]

The current state of the art in NWP is probably the ECMWF:

http://www.ecmwf.int/

[cb372]

Thank you, especially for telling me the name of the field that I am looking for!

I think you're right in saying that a proper book is in order.