Objectives and Content
In this course you learn to use numerical methods to solve simple problems in fluid dynamics. We study exact and numerical solutions of partial differential equations linked to advection, diffusion, oscillation and wave processes, and discuss the strengths and weaknesses of different numerical schemes.
You will learn to use methods to solve initial value problems and show how you can solve diagnostic boundary value problems with guessing and correction.
On completion of the course the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
- can describe 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