# HWM-33806 Water and Air Flow Numerical Techniques

Code last year: (SLM-33806)

## Course

Credits 6.00

 Teaching method Contact hours Lecture 20 Tutorial 7 Practical 65
 Course coordinator(s) MSc PhD LA Melsen Lecturer(s) dr. ir. CC van Heerwaarden ing. G Bier MSc PhD LA Melsen Examiner(s) prof. dr. ir. R Uijlenhoet ing. G Bier dr. ir. CC van Heerwaarden MSc PhD LA Melsen

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 identify and estimate uncertainty and how to use advanced techniques to reduce this.

### 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 that can be applied to solve spatial flow problems;
- develop, test and analyze numerical models for simplified systems;
- critically analyze and appraise results from numerical models;
- apply methods to identify and estimate uncertainty in initial conditions, boundary conditions, and parameters.

### Activities:

- classroom lectures;
- tutorials;
- practical training.

### Examination:

Written closed book open questions exam.

### Literature:

Reader and course outline available. See the courses Blackboard.

Programme Phase Specialization Period Compulsory for: 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