# HWM-33806 Water and Air Flow Numerical Techniques

## Vak

Studiepunten 6.00

 Onderwijstype Contacturen Lecture 28 Practical 68
 Course coordinator(s) MSc PhD LA Melsen Lecturer(s) dr. ir. CC van Heerwaarden ing. G Bier MSc PhD LA Melsen Examiner(s) MSc PhD LA Melsen dr. ir. CC van Heerwaarden ing. G Bier

English

### Assumed knowledge on:

MAQ-22806 Atmosphere-Vegetation-Soil Interactions.

### Continuation courses:

SLM-33306 Advanced Hydrological Systems Analysis; MAQ-31806 Atmospheric Modeling.

### Contents:

This course introduces the numerical techniques that are essential in the numerical modeling of stationary and dynamical flow problems in hydrology and meteorology. First, students will study the special class of differential equations that describe flow problems and learn the concepts behind the modeling of the equations. Emphasis will be on the key concepts of states, storage, and vector fields. Students will learn how to define appropriate boundary conditions. Second, students will learn the numerical techniques available to solve flow equations, such as finite differences, finite volumes, and finite elements, and will construct their own simplified flow models based on these techniques. Third, students will learn how to conduct sensitivity analysis and how to use this technique to gain insights in model behaviour.

### Learning outcomes:

After successful completion of this course students are expected to be able to:
- explain the concepts and basics of numerical simulation models consisting of differential equations. These concepts include formulations for state variables, rate variables and driving variables. Important subjects are feedback mechanisms, time coefficients, analysis of units, and techniques to solve matrix equations;
- describe and apply numerical techniques to solve spatial flow problems;
- develop, test and analyze numerical models for simplified systems;
- critically analyze and appraise results from numerical models using sensitivity analysis;

### Activities:

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

### Examination:

Marks are based on a written examination (80%) and a final assignment (20%).

### Literature:

Lecture slides and practical assignments, with references to relevant literature, shared through Brightspace.

Opleiding Fase Specialisatie Periode Verplicht voor: MEE Earth and Environment MSc A: Hydrology and Water Resources 3WD MEE Earth and Environment MSc B: Meteorology and Air Quality 3WD MCL Climate Studies MSc A: The Physical Climate System 3WD