Numerical Methods in Atmospheric Sciences and Oceanography
We start with a very simple model of the advection equation, which we use to study the shortcomings of the numerical methods, such as numerical instability, truncation errors, computational modes, computation phase speeds and groups velocities. We then continue with the shallow water equations, where you develop your own shallow water model. Finally, an introduction to 3D modelling will be given. You will acquire, in this course, a fundamental understanding of the very core of the numerics of the circulation models, which are used in both weather forecast models as well as Climate models. The course is in other words a must if you want to call yourself a meteorologist, oceanographer or a climate physicist.
The course deals with numerical methods for solving the hydrodynamic equations, which are common for Numerical Weather Prediction Models, Ocean Circulation models and Climate Models.
The course includes:
- finite differences in time and space of the hydrodynamic equations
- analysis of finite differential methods limitations
- semi-implicit and semi-Lagrangian schemes
- iterative methods for solving Laplace and Poisson equations
- alternating grid for shallow water equations in two dimensions
- nonlinear advection terms
- spectral coordinates for global atmospheric circulation models.
Teaching Format
The teaching consists of
- Lectures
- Calculation exercises
- Computer exercises.
Course material
Grading criteria, course literature and other material and correspondence related to the course will be available on the course Athena-site once you have registered for the course.
Assessment
Written exam at the end of the course as well as a series of computer exercises, which are written as reports.
