The fields of computational fluid dynamics (CFD) and optimal shape design (OSD) have received considerable attention in the recent past, and are of practical importance for many engineering applications.This new edition of Applied Shape Optimization for Fluids deals with shape optimization problems for fluids, with the equations needed for their understanding (Euler and Navier Strokes, but also those for microfluids) and with the numerical simulation of these problems. It presents the state of theart in shape optimization for an extended range of applications involving fluid flows. Automatic differentiation, approximate gradients, unstructured mesh adaptation, multi-model configurations, and time-dependent problems are introduced, and their implementation into the industrial environments ofaerospace and automobile equipment industry explained and illustrated. With the increases in the power of computers in industry since the first edition, methods which were previously unfeasible have begun giving results, namely evolutionary algorithms, topological optimization methods, and level set algortihms. In this edition, these methods have been treated inseparate chapters, but the book remains primarily one on differential shape optimization.This book is essential reading for engineers interested in the implementation and solution of optimization problems using commercial packages or in-house solvers and graduates and researchers in applied mathematics, aerospace, or mechanical engineering, fluid dynamics, and CFD. More generally,anyone needing to understand and solve design problems or looking for new exciting areas for research and development in this area will find this book useful, especially in applying the methodology to practical problems.

Bijan Mohammadi is Director of Institut de Mathematiques et de Modelisation de Montpellier and Professor at the Universite Montpellier II.
Olivier Pironneau is Professor at Laboratoire Jacques-Louis Lions of the Universite 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.

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