Objectives and Content
The course aims to apply numerical methods to solve some simple problems of fluid dynamics. Strengths and weaknesses of various finite difference schemes for advection, oscillations and wave processes, and diffusion will be discussed.
The course gives a description of numerical methods that are used to solve the partial differential equations (e.g. shallow water equations) of dynamical meteorology and oceanography. In addition to the methods used for initial value problems, the course also presents the relaxation method to solve diagnostic boundary value problems.
Knowledge of meteorology and/or oceanography equivalent to GEOF110.
Recommended Previous Knowledge
Knowledge of programming.
On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
- knows how a numerical model is built up and how numerical schemes and grids influence the behavior of the model
- can test a scheme for numerical stability
- can discuss the scale dependency of the model results, and discriminate physical effects and model artefacts
- knows how an iteration procedure works for solving a boundary value problem
- is able to discretize an equation in a consistent way, and assess the accuracy of the discretization- is able to analyze the various sources of error that may turn up in the model, like damping errors and phase errors
- is able to discuss limitations of a numerical model
- can use programming tools to make numerical calculations
- can use numerical models as a tool to solve dynamical problems in meteorology or oceanography
- understands modelling terminology