# INF-32806 Models for Environmental Systems

## Course

Credits 6.00

 Teaching method Contact hours Lectures 24 Practical extensively supervised 48 Practical intensively supervised 36 Tutorial 6
 Course coordinator(s) ir. MA Zijp Lecturer(s) ing. G Bier drs. PJJF Torfs dr. ir. RJ Ronda Examiner(s) dr. ir. RJ Ronda

English

### Assumed knowledge on:

MAT-23306 Multivariate Mathematics Applied; MAQ-22806 Atmosphere-Vegetation-Soil Interactions.

### Continuation courses:

SLM-33306 Advanced Hydrological Systems Analysis; MAQ-31806 Mesoscale Meteorological Modelling.

### Contents:

This course introduces the numerical solution techniques for stationary and dynamical flow problems in one, two and three dimensional space in the context of hydrology and meteorology. Flow problems form 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 as finite volumes especially suited for this type of problems will be discussed. Within the hydrological and meteorological tracks numerical models are going to be developed and studied for simplified flow problems.
The second topic introduces a Good Modelling Practice approach, i.e. how to design, build, analyse, and use simulation models to solve certain aspects of problems. Good Modelling Practice facilitates the (re)construction of a model based management study, which allows others to audit and evaluate the overall quality of these studies.

### 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;
- develop, test and analyse numerical models for simplified systems;
- describe and apply numerical techniques that can be applied to solve spatial flow problems;
- critically analyse and appraise results from numerical models;
- apply modelling according to good modelling practice. This includes problem analysis, data requirement analysis, conceptual modelling, mathematical modelling, numerical integration, model analysis, model application, interpretation of results and activities to enable re-use of models and model components.

### 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 MEE Earth and Environment MSc 3WD MEE Earth and Environment MSc 3WD MEE Earth and Environment MSc 3WD MEE Earth and Environment MSc 3WD MCL Climate Studies MSc 3WD MCL Climate Studies MSc 3WD