FMNN05F

Tillfällig

Simulation Tools

7.5

Gemensam kurs, avancerad nivå och forskarnivå

FMNN05, NUMN05

7154 (Centre of Mathematical Sciences / Numerical Analysis)

FMNN05, NUMN05

 -09-15

FN1/Anders Gustafsson

English

Varje hösttermin

Simulation techniques is a field which demands experience in modelling, knowledge in Scientific Computing and programming skills. The aim of the course is to give the postgraduate student a chance to solve, in a working team, industrially relevant computational problems in connection with modelling of complex mechanical systems. The participants meet numerical methods on different levels in industrial simulation tools. In particular ordinary differential equations with and without algebraic constraints, methods for large systems of nonlinear equations and computations of eigenvalues.

Theoretical part: Numerical treatment of ordinary differential equations with discontinuities and/or algebraic constraints. Variants of different modelling techniques, variational integrators and other methods suitable for modelling. Introduction to a modelling language.

Practical part: numerical experiments with computational tools within commercial and industrial software packages, e.g. Dymola. Similar experiments with selfproduced code in Python/SciPy.

understand how the mathematical modelling of mechanical systems may yield differential equations with discontinuous coefficients or algebraic constraints.
understand how such systems are handled by modern software packages, e.g., ASSIMULO.
be able to describe structural parallels between different engineering problems that are discussed during the course.

independently be able to apply and critically evaluate numerical methods which are common in industrial software packages.
write an algorithmically well structured report in suitable terminology on mathematical methods applied in industrial simulation tools.

Föreläsningar

övningar

Projekt

Skriftlig rapport

Underkänd, godkänd

 

Relevant material (journal articles and extracts from web based handbooks) will be provided at the start of the course.

FMNN05F

 -09-15

FN1/Anders Gustafsson