Simulation methods and Applications

The course introduces students to the theory and applications of simulation models. The theoretical part includes the basic terminology, development of models in one or more dimensions, numerical methods of solution of Ordinary and Partial Differential Equations, and methods for the presentation of results. The practical exercises include model development with visual simulation software (VISSIM, Scilab-Xcos).

Objectives

The main educational aims are: 1. To offer basic knowldege of the terminology used in simulation modelling 2. To know steps to be taken for the development, run, assessment of goodness-of-fit, sensitivity analysis and calibration of a model 3. Familirization with the use of simulation software 4. To know applications in environmental and marine sciences

Prerequisites

Basic knowledge of mathematics and numerical methods and skills in computing.

Syllabus

Basic terminology, Development of 0-d models based on Ordinary Differential Equations (ODEs), 0-d model run (Numerical solution of ODEs), Goodness-of-fit-Sensitivity analysis-Calibration, Development of higher dimension models based on Partial Diffrential Equations (PDEs), Run of higher dimension models (Numerical solution of PDEs), Horizontal grids and expansion in the third dimension, Coupled models, Model types (statistical, deterministic, stochastic), Applications of models in ecology, hydrodynamics, coastal zone management