 
|
|
|
|
|
|
|
|
|
MTM081 Computational Methods in Mechanics (F) 6.0 ECTS credits | |
|
TIMEPERIOD: Q 3 LANGUAGE:English/Swedish EXAMINER H 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 Weighted residual metods (15%): Conventional Galerkin methods, FEM methods, Spectral methods. Finite volume methods (35%): Diffusion and convection. Large system of equations. Navier-Stokes equations Approximate solution of differential equations (35%) : 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. Chaos in mechanical systems(5%): Convection and Lorenz equations, strange attractors, discrete mappings, bifurcations, Feigenbaum numbers. 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 | |
| Laboratory work | 1.50ECTS |
| Writen exam | 4.50ECTS |
|
COURSE LITTERATURE 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 |
Web Editor: Karin.Lindholm@dc.luth.se
| The University | Student | Research | Search | Contact us | In Swedish |
 LULEÅ UNIVERSITY OF TECHNOLOGY University Campus, Porsön, 971 87 Luleå. Tel. +46 (0) 920-91 000, fax +46 (0) 920-91 399 |