Applied Shape Optimization for Fluids / Edition 2

by Bijan Mohammadi, Olivier Pironneau

Overview

Computational fluid dynamics (CFD) and optimal shape design (OSD) are of practical importance for many engineering applications - the aeronautic, automobile, and nuclear industries are all major users of these technologies.

Giving the state of the art in shape optimization for an extended range of applications, this new edition explains the equations needed to understand OSD problems for fluids (Euler and Navier Strokes, but also those for microfluids) and covers numerical simulation techniques. Automatic differentiation, approximate gradients, unstructured mesh adaptation, multi-model configurations, and time-dependent problems are introduced, illustrating how these techniques are implemented within the industrial environments of the aerospace and automobile industries.

With the dramatic increase in computing power since the first edition, methods that were previously unfeasible have begun giving results. The book remains primarily one on differential shape optimization, but the coverage of evolutionary algorithms, topological optimization methods, and level set algortihms has been expanded so that each of these methods is now treated in a separate chapter.

Presenting a global view of the field with simple mathematical explanations, coding tips and tricks, analytical and numerical tests, and exhaustive referencing, the book will be essential reading for engineers interested in the implementation and solution of optimization problems. Whether using commercial packages or in-house solvers, or a graduate or researcher in aerospace or mechanical engineering, fluid dynamics, or CFD, the second edition will help the reader understand and solve design problems in this exciting area of research and development, and will prove especially useful in showing how to apply the methodology to practical problems.

Product Details

ISBN-13:	9780199546909
Publisher:	Oxford University Press
Publication date:	11/30/2009
Series:	Numerical Mathematics and Scientific Computation
Edition description:	2nd Revised ed.
Pages:	293
Product dimensions:	6.20(w) x 9.20(h) x 0.80(d)

About the Author

Bijan Mohammadi is Director of Institut de Mathématiques et de Modélisation de Montpellier and Professor at the Université Montpellier II.

Olivier Pironneau is Professor at Laboratoire Jacques-Louis Lions of the Université Pierre et Marie Curie (Paris VI), a Member of the French National Commission for Evaluating research on radioactive waste (CNE), and a Scientific Advisor at CSC.

Table of Contents

PrefaceAcknowledgements1. Introduction2. Optimal shape design3. Partial differential equations for fluids4. Some numerical methods for fluids5. Sensitivity evaluation and automatic differentiation6. Parameterization and implementation issues7. Local and global optimization8. Incomplete sensitivities9. Consistent approximations and approximate gradients10. Numerical results on shape optimization11. Control of unsteady flows12. From airplane design to microfluidic13. Toplogical optimization for fluids14. Conclusion and perspectivesIndex

Editorial Reviews

In addition to shape optimization problems for fluids, this book also explores the numerical simulation of optimization under fluid and structure coupling. Mohammadi (University of Montpellier) and Pironneau (University of Paris) introduce automatic differentiation, approximate gradients, and automatic mesh refinement as tools for optimal shape design, and present results for flow control problems at various Mach and Reynolds numbers that illustrate applications in the aerospace and automobile equipment industries. Annotation c. Book News, Inc., Portland, OR (booknews.com)

Booknews

"In addition to shape optimization problems for fluids, this book also explores the numerical simulation of optimization under fluid and structure coupling. Mohammadi (University of Montpellier) and Pironneau (University of Paris) introduce automatic differentiation, approximate gradients, and automatic mesh refinement as tools for optimal shape design, and present results for flow control problems at various Mach and Reynolds numbers that illustrate applications in the aerospace and automobile equipment industries."—SciTech Book News

"This book will be very useful to applied mathematicians and engineers interested in the solution and implementation of optimization problems, and in the research and development areas involving realistic applications."—Mathematics Abstracts

"This book deals with shape optimization problems for fluids and it also includes some aspects of optimization under fluid and structure coupling. These problems are of practical importance in computational fluid dynamics for airplanes, cars, turbines, and other industrial applications."—Mathematical Review

From the Publisher