Læringsmål

Learn how to formulate dynamic models based on the mechanisms that drive the systems, with special emphasis on simplifying assumptions. Learn methods for solving the equations that represent the mathematical models, i.e. to run computer simulations. Learn basic techniques for model analysis.

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.

Solving equations by use of 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 (ODEs) 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).

Organisering

The course is organized as two parallel topics, modeling and simulation, with lectures and exercises for each of these. Relevant software (primarily Matlab) for PCs will be used extensively.

Vurderingsformer

Grading is based on an intermediate test which counts 30% and a final test which counts 70% of the final grade. In the final test, it is necessary to pass each of the topics modeling and simulation to get a passing grade. It is possible to get a passing grade even if the intermediate test is failed. The intermediate test is compulsory, but if participation is prohibited by illness etc. (documentation required), the final test will count 100%.

Det tas forbehold om mindre justeringer i planen.