Numerical Techniques for Global Atmospheric Models

1. Some Basic Dynamics Relevant to the Design of Atmospheric Model Dynamical Cores
John Thuburn

2. Waves, Hyperbolicity and Characteristics
Joseph Tribbia, Roger Temam

3. Horizontal Discretizations: Some Basic Ideas
John Thuburn

4. Vertical Discretizations: Some Basic Ideas
John Thuburn

5. Time Discretization: Some Basic Approaches
Dale R. Durran

6. Stabilizing Fast Waves
Dale R. Durran

7. Momentum, Vorticity and Transport: Considerations in the Design of a Finite-Volume Dynamical Core
Todd D. Ringler

8. Atmospheric Transport Schemes: Desirable Properties and a Semi-Lagrangian View on Finite-Volume Discretizations
Peter H. Lauritzen, Paul A. Ullrich, Ramachandran D. Nair

9. Emerging Numerical Methods for Atmospheric Modeling
Ramachandran D. Nair, Michael N. Levy, Peter H. Lauritzen

10. Voronoi Tessellations and Their Application to Climate and Global Modeling
Lili Ju, Todd Ringler, Max Gunzburger

11. Conservation in Dynamical Cores: What, How and Why?
John Thuburn

12. Conservation of Mass and Energy for the Moist Atmospheric Primitive Equations on Unstructured Grids
Mark A. Taylor

13. The Pros and Cons of Diffusion, Filters and Fixers in Atmospheric General Circulation Models
Christiane Jablonowski, David L. Williamson

14. Kinetic Energy Spectra and Model Filters
William C. Skamarock

15. A Perspective on the Role of the Dynamical Core in the Development of Weather and Climate Models
Richard B. Rood

16. Refactoring Scientific Applications for Massive Parallelism
John M. Dennis, Richard D. Loft

Nyckelord: Mathematics, Computational Mathematics and Numerical Analysis, Partial Differential Equations, Meteorology/Climatology