Applied Shape Optimization for Fluids (Numerical Mathematics and Scientific Computation)

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9780198507437: Applied Shape Optimization for Fluids (Numerical Mathematics and Scientific Computation)

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.

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About the Author:

Bijan Mohammadi, Professor of Mathematics, University of Montpellier II, France. Olivier Pironneau, Professor of Mathematics, Laboratoire d'Analyse Numerique, University of Paris VI, France

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"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


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