This title deals with shape optimisation problems for fluids, with the equations needed for their understanding (Euler and Navier Stokes), and with the numerical simulation of these problems. It is written for professionals as well as graduate students, lecturers and researchers working in applied mathematics, aerospace and mechanical engineering.

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. The present book deals with shape optimization problems for fluids, with the equations needed for their understanding (Euler and Navier Stokes), and with the numerical simulation of these problems. Automatic differentiation, approximate gradients, and automatic mesh refinement as the new tools of optimal shape design are introduced, and their implementation into the industrial environments of aerospace and automobile equipment industry explained and illustrated.

Introduction
1. Optimal Shape Design
2. Partial Differential Equations for Fluids
3. Some Numerical Methods for Fluids and Examples
4. Automatic Differentiation
5. Optimization Platform and Implementation Issues
6. Consistent Approximations and Approximate Gradients
7. Numerical Results on Shape Optimization
8. Numerical Results on Shape Optimization for Unsteady Flows
Index