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Course Catalog 01/02


Mechanical Engineering

MTM081 Computational Methods in Mechanics (F) 6.0 ECTS credits

TIMEPERIOD:
Q III

LANGUAGE:English/Swedish

EXAMINER
Hans O Åkerstedt Univ lekt


PREREQUISITES
Basic mathematical knowledge in real and complex analysis.
Ordinary differential equations. Partial differential equations.
Mechanics and continuum mechanics.


COURSE AIM
The aim is to get the student familiar with some approximate analytical and numerical methods of importance in solving problems in mechanics and continuum mechanics. The course should also give the student some practice in using MATLAB for numerical computations and MAPLE for symbolic computing.


CONTENTS
Finite volume methods (50%): Diffusion and convection. Large system of equations. Navier-Stokes equations, CFX.
Approximate solution of differential equations (40%) :
Lindstedt-Poincares method, Renormalisation , Method of multiple scales.
Power series solutions near singularities.WKB method , Liouville-Greens and Langers transformations .
Matched asymptotic series, Boundary layers, inner and outer expansions, matching principles, composite solution.
Integrals(10%) Integration by parts, Laplaces method, stationary phase.


TEACHING
The education consists of lectures in which the basic mathematical concepts are introduced. To each topic the student is supposed to do some compulsory problems.

EXAMINATION
For grade 3 compulsory problems. For higher marks a written examination or extra exercises.
COURSE GRADE SCALE: U, 3, 4, 5

ITEMS/CREDITS
Compulsory problems 6.00ECTS

COURSE LITERATURE
Bush A.W: Perturbation methods for engineers and scientists, CRC press.
Ferziger J.H. & Peric M. Computational Methods for Fluid Dynamics. Springer , 1997
Enander & Hägglund: Användarhandledning för MATLAB
Kann & Kann: Användarhandledning för MAPLE


Further information: International Office

Valid for the academic year 01/02.

Web Editor: Karin.Lindholm@dc.luth.se


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LULEÅ UNIVERSITY OF TECHNOLOGY
University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399
Last edited 2001-12-17