CIMPA School,
course on:
"NUMERICAL OPTIMIZATION
APPLICATIONS IN CFD"
Laurent Dumas
DATES AND LOCATION: from
September, 3rd to September 5th, 2007, University of Ateneo, Manilla, CIMPA school
OUTLINE OF THE COURSE :
1. Introduction: the car drag reduction problem (course
#1)
2. Numerical Optimization: main tools
2.1 Descent methods with linesearch strategies
2.2 Evolutionary Algorithms
(course #2)
2.3 Hybrid methods and surrogate models
3. First Applications of Numerical Optimization (course #3)
3.1 The I-Beam problem
3.2 The LJ problem
3.3 The Fiber Bragg Grating Problem
4. CFD-based Optimization
(course #4)
4.1 The Navier-Stokes equation
4.2 Shape optimization in aeronautics
4.3 The car drag reduction problem
BIBLIOGRAPHY:
Numercial optimization, theoretical and practical aspects: JF Bonnans,
JC Gilbert, C. Lemaréchal, C. Sagastizbal, Springer Verlag 2003.
Genetic Algorithms on search, optimization and machine learning: D. Goldberg,
1989
Multi-Objective
Optimization Using Evolutionary Algorithms, K. Deb, 2001
ON THE WEB:
Theoretical part:
A tutorial 'How
to build an avolutionary algorithm' by the EVONET community
An introduction article on 'Evolution strategies'
by HG Beyer and HP Schweifel
An online course on 'Numerical Optimization'
at Oxford University
An online course on 'Optimization inengineering
design' at the Georgia Institute of Technology
A book Numerical recipes in C or Fortran
77 (Chapter 10 mainly)
An introduction article on 'Numerical Solution of Optimization
Test-Cases by Genetic Algorithms' by N. Marco and J.A. Desideri
Applicative part:
Description
of the I-Beam problem
Robust
optimization of the I-Beam
A short tutorial 'Introduction
to Fiber Bragg Gratings'
A talk 'Optimisation of
optical communication systems by means of genetic algorithms' by myself
A PhD dissertation “Synthesis and characterization
of fiber Bragg gratings” by J. Skaar (chapters 2 and 3.1 mainly)
An article 'Real-coded genetic
algorithm for Bragg grating parameter synthesis' by G. Cormier and R.
Boudreau
An article 'Multi-objective
and constrained design of fibre Bragg gratings using evolutionary algorithms'
by S. Manos and L. Poladian
An article "Semi
deterministic vs Genetic Algorithms for global optimization of multichannel
optical filters" by myself, B. Ivorra, B. Mohammadi, P. Redont and
O. Durand
Articles on the LJ problem: article 1 article 2, article
3, article 4
thesis
SCILAB PROGRAMS
All theScilab programs presented during this
course can be found here