Course Objectives

Learn how to formulate dynamic models based on the mechanisms that drive the systems, with special emphasis on simplifying assumptions. Learn methods for simulating (solving) the resulting mathematical models. Learn basic techniques for model analysis.

Course Description

Formulation of dynamic models based on material, momentum, and energy balances. Mass conservation in reactions. Overview of constitutive equations (reaction kinetics, thermodynamic models, transport laws). Modeling of coupled systems (co- and counter current flow, recirculation, etc.). Elementary systems theory: solution of linear models, stability.

Solution of models using computers. Accuracy and sources of error in numerical work. Numerical solution of sets of linear- and non-linear equations. Interpolation and extrapolation. Numerical differentiation and integration. Numerical solution of ordinary differential equations and systems of equations. Boundary-value problems for ordinary differential equations. Partial differential equations. Optimization and curve fitting. The use of computer tools for numerical computations (Matlab).

Learning Methods

Lectures, exercises, and the use of relevant software for PCs. An intermediate test such as a group project with or without oral presentation, or a mid term test will be used.

Assessment Methods

Grading is based on an intermediate test which counts 30% and a final test which counts 70% in the final grade. It is necessary to pass both the topic of modeling and the topic of simulation in the final test, in order to get a passing grade.

Minor adjustments may occur during the academic year, subject to the decision of the Dean