# HWM-33806 Water and Air Flow Numerical Techniques

## Course

Credits 6.00

 Teaching method Contact hours Lecture 24 Practical 72
 Course coordinator(s) MSc PhD LA Melsen Lecturer(s) ing. G Bier MSc PhD LA Melsen dr. ir. CC van Heerwaarden Examiner(s) ing. G Bier dr. ir. CC van Heerwaarden MSc PhD LA Melsen

EN

### Assumed knowledge on:

Water Quantity and Quality (SLM-20806) or Meteorology and Climate (MAQ-21806) or a similar background in hydrology and/or meteorology. Assumed background in mathematics: MAT-23306 Multivariate Mathematics Applied (or comparable).

### Continuation courses:

MAQ-31806 Atmospheric Modeling;

### Contents:

This course introduces numerical techniques for stationary and dynamical flow in the context of hydrology and the atmospheric sciences. Flow problems for a special class of differential equations as the description of the states involves both storages and vector fields of flows. Solution domains and boundary conditions should be defined in terms of these. Numerical techniques such as finite differences, finite volumes, and finite elements, which are especially suited for this type of problems, will be discussed. The last topic covered is sensitivity analysis, which deals with the evaluation of the implemented models.

### Learning outcomes:

After successful completion of this course students are expected to be able to:
- explain the concepts and basics of three different numerical techniques to solve flow problems;
- conduct simple manual calculations based on the three different numerical techniques;
- able to implement and/or apply numerical techniques in scripting language;
- know how to implement different types of boundary conditions;
- know the steps and requirements of setting up a spatial model;
- explain the theory and concepts of two sensitivity analysis methods;
- conduct a sensitivity analysis on model parameters;
- critically analyse and appraise results from numerical models.

### Activities:

- classroom lectures;
- computer assignments using R;
- discussion of assignments.

### Examination:

Marks are based on a written examination (70%) and a final assignment (30%). A minimum grade of 5.5 for the written examination, and a minimum grade of 5.5 overall (0.7*mark written examination + 0.3*mark final assignment) is required to pass.

### Literature:

Lecture slides and practical assignments, shared through Brightspace.

Programme Phase Specialization Period Compulsory for: MEE Earth and Environment MSc A: Spec. A - Hydrology and Water Resources 3WD MEE Earth and Environment MSc B: Spec. B - Meteorology and Air Quality 3WD MCL Climate Studies MSc A: Spec. A - The Physical Climate System 3WD