Simulation Tools
Simuleringsverktyg

FMNN05F, 7.5 högskolepoäng

Gäller från och med: Autumn 2013
Beslutad av: FN1/Anders Gustafsson
Datum för fastställande: 2014-09-15

Allmänna uppgifter

Avdelning: Numerical Analysis
Kurstyp: Gemensam kurs, avancerad nivå och forskarnivå
Kursen ges även på avancerad nivå med kurskoder: FMNN05, NUMN05
Undervisningsspråk: English

Syfte

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.

Mål

Kunskap och förståelse

För godkänd kurs skall doktoranden

• 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.

Färdighet och förmåga

För godkänd kurs skall doktoranden

• 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.

Kursinnehåll

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.

Kurslitteratur

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

Kursens undervisningsformer

Undervisningsformer: Föreläsningar, övningar, projekt

Kursens examination

Examinationsform: Skriftlig rapport
Betygsskala: Underkänd, godkänd
Examinator:

Antagningsuppgifter

Kurstillfällesinformation

Kontaktinformation och övrigt

Kursansvariga:
Hemsida: http://ctr.maths.lu.se/na/courses/FMNN05/