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Optimization and Computational Fluid Dynamics - Department of ...

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4 Dominique Thévenin<br />

12<br />

10<br />

8<br />

6<br />

4<br />

2<br />

0<br />

1999<br />

2000<br />

www.scopus.com<br />

2001<br />

2002<br />

2003<br />

2004<br />

2005<br />

2006<br />

Fig. 1.1 Number <strong>of</strong> publications regarding CFD-O based on the search tool Scopus. The<br />

year 1999 is chosen as reference year <strong>and</strong> is thus associated to a value <strong>of</strong> 1<br />

explains why most available books <strong>and</strong> articles dealing with <strong>Optimization</strong><br />

relying on evaluations obtained by <strong>Computational</strong> <strong>Fluid</strong> <strong>Dynamics</strong> (what we<br />

abbreviate in this book as CFD-O, or CFD-based <strong>Optimization</strong>) concern such<br />

situations. Even then, the number <strong>of</strong> such books <strong>and</strong> review articles remains<br />

quite limited. We have so far only found two books published since 1999<br />

that deal exclusively with CFD-O (obviously, a large number <strong>of</strong> books consider<br />

this issue, but only for a single chapter or a few pages). The work <strong>of</strong><br />

Mohammadi <strong>and</strong> Pironneau [5] sets the emphasis on shape optimization for<br />

aeronautical applications using adjoint methods, a topic that will be mostly<br />

considered in Chapters 3 to 5 <strong>of</strong> the present book. The book by Gunzburguer<br />

[4] covers both optimization <strong>and</strong> control <strong>of</strong> flows relying on CFD, but<br />

concentrates mostly on control issues in practice <strong>and</strong> is mainly written as a<br />

tutorial for students. No review article could be found on this topic at all.<br />

In order to get a more global albeit inexact scope <strong>of</strong> the literature, an<br />

Internet-based literature search has been carried out using the pr<strong>of</strong>essional<br />

scientific literature search tool Scopus (see http://www.scopus.com). The<br />

year 1999 is retained as reference year <strong>and</strong> is thus associated to a value<br />

<strong>of</strong> 1. By comparison, the number <strong>of</strong> references found by Scopus for all the<br />

years until 2006 is represented in Fig. 1.1. The search criterion considers only<br />

title <strong>and</strong> abstracts <strong>of</strong> all corresponding publications <strong>and</strong> looks for ((CFD or<br />

<strong>Computational</strong> <strong>Fluid</strong> <strong>Dynamics</strong>) <strong>and</strong> (<strong>Optimization</strong> or Optimisation)). This<br />

is obviously a very nonspecific search <strong>and</strong> hence will leave out a few relevant<br />

publications as well as identify several publications for which “<strong>Optimization</strong>”<br />

simply means “Improvement”, as explained previously. It is nevertheless interesting<br />

to identify the trend associated with CFD-O. As seen in Fig. 1.1,<br />

the number <strong>of</strong> corresponding publications has multiplied by a factor <strong>of</strong> 12<br />

within 7 years demonstrating the rapid development <strong>of</strong> this field.

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