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Home > Computing and Information Technology > Computer science > Mathematical theory of computation > Maths for computer scientists > Applied Shape Optimization for Fluids: (Numerical Mathematics and Scientific Computation)
Applied Shape Optimization for Fluids: (Numerical Mathematics and Scientific Computation)

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


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About the Book

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 the art 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 of aerospace 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 in separate 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.

Table of Contents:
Preface Acknowledgements 1: Introduction 2: Optimal shape design 3: Partial differential equations for fluids 4: Some numerical methods for fluids 5: Sensitivity evaluation and automatic differentiation 6: Parameterization and implementation issues 7: Local and global optimization 8: Incomplete sensitivities 9: Consistent approximations and approximate gradients 10: Numerical results on shape optimization 11: Control of unsteady flows 12: From airplane design to microfluidic 13: Toplogical optimization for fluids 14: Conclusion and perspectives Index

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 Universite? Pierre et Marie Curie (Paris VI), a member of the French academy of sciences, and President of the national committee for supercomputing.

Review :
`Review from previous edition '... covers a wide range of techniques that can be utilized for the optimization of shapes in fluid dynamics.' ' ZAMM `'... a tour de force containing many interesting ideas from diverse communities and plenty of examples.' ' ZAMM `'I found it very stimulating and furthermore convincing in its basic tenet that gradient based optimization is workable and highly competetive for shape optimization.' ' ZAMM


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Product Details
  • ISBN-13: 9780199546909
  • Publisher: Oxford University Press
  • Publisher Imprint: Oxford University Press
  • Edition: Revised edition
  • Language: English
  • Returnable: N
  • Spine Width: 20 mm
  • Width: 161 mm
  • ISBN-10: 0199546908
  • Publisher Date: 24 Sep 2009
  • Binding: Hardback
  • Height: 241 mm
  • No of Pages: 293
  • Series Title: Numerical Mathematics and Scientific Computation
  • Weight: 639 gr


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