Modeling and Simulation of Dynamic Systems FM1006

Forkunnskaper

Admission requirements.

Læringsmål

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.

Organisering

Lectures, exercises, and the use of relevant software for PCs. Intermediate tests such as group projects w/ oral presentation and mid term tests will be used.

Innhold

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).

Vurderingsformer

To be admitted to the final test, 60% of the exercises must be completed with grade passed. Grading is based on intermediate tests which count 40% and a final test which counts 60% in the final grade. It is necessary to pass the final test, in order to get a passing grade. No study aids are permitted during the final test.

Pensum