## Methodology

### Modelling process

The modelling process involves the understanding of the features of a model in order to set up equations skilfully and choose appropriate algorithms. **To get satisfactory results from modelling** the complex processes running in reality first have to be **simplified**. This is done within **two steps of abstraction**.

- While
**the first one** **is done unconsciously** quasi unrecognisable to ourselves (awareness)

**the second one** **is made knowingly** (abstraction) to reduce the number of input parameters in a way that leads to the essential and particularly ascertainable variables.

Modelling or Model analysis means to understand the features of a model in order to set up equations skilfully and choose appropriate algorithms.

### Numeric and programming

Solving mathematical equations with an analytical method of resolution is quite impossible rather numerical approximation procedures often lead to the desired solution. The programming of a mathematical based model means the coding in software and the application of appropriate computer languages and tools.

### Simulating

Having created a realistic but simplified model of reality and having translated it into a computer understandable language the simulation process can be started, perdicted the input data are empirically described or physically known.

Anyway the results should be verified. In case of insufficient results the model should be adapted and the simulation process has to be repeated as long as the results are satisfactory.

### Results

The results from a simulation process are due to be proved via comparison with the reality.

- In case of a good reproduction of reality the simulation can be considered as suitable. Further simulations can be started.

- In case of bad reproduction of reality parameteres as well as the model structure itself should be analysed and adapted where becessary.