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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.
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.
PREFACE; ACKNOWLEDGEMENTS; INDEX
Review from previous edition '... covers a wide range of techniques that can be utilized for the optimization of shapes in fluid dynamics.'
Yair Censor, Stavros A. Zenios, Israel) Censor, Yair (Professor, Department of Mathematics and Computer Science, University of Haifa, Professor, Department of Mathematics and Computer Science, University of Haifa, University of Cyprus) Zenios, Stavros A. (Professor, Dean, School of Economics and Management, Professor, Dean, School of Economics and Management, Stravos A. Zenios
Alfio Quarteroni, Alberto Valli, Politecnico de Milano) Quarteroni, Alfio (Professor of Mathematics, Professor of Mathematics, Universita di Trento) Valli, Alberto (Professor of Mathematics, Professor of Mathematics
C. Schwab, Switzerland) Schwab, C. (Associate Professor, Associate Professor, Seminar fur Angewandte Mathematik, ETH, Zurich, Christoph Schwab, Ch Schwab
Miloslav Feistauer, Jiri Felcman, Ivan Straskraba, Czech Republic) Feistauer, Miloslav (, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic) Felcman, Jiri (, Faculty of Mathematics and Physics, Charles University, Prague, Czech Republic) Straskraba, Ivan (, Mathematical Institute, Academy of Sciences of Czech Republic, Prague
I. S. Duff, A. M. Erisman, J. K. Reid, and Strathclyde University) Duff, I. S. (Rutherford Appleton Laboratory, CERFACS, Toulouse, France, Seattle (retired) and Seattle Pacific University) Erisman, A. M. (The Boeing Company, J. K. (Rutherford Appleton Laboratory and Cranfield University) Reid, Iain S. Duff, Iain S Duff, A M Erisman, John Ker Reid
I. S. Duff, A. M. Erisman, J. K. Reid, and Strathclyde University) Duff, I. S. (Rutherford Appleton Laboratory, CERFACS, Toulouse, France, Seattle (retired) and Seattle Pacific University) Erisman, A. M. (The Boeing Company, J. K. (Rutherford Appleton Laboratory and Cranfield University) Reid, Iain S. Duff, Iain S Duff, A M Erisman, John Ker Reid
George Karniadakis, Spencer Sherwin, Brown University) Karniadakis, George (Division of Applied Mathematics, Imperial College London) Sherwin, Spencer (Department of Aeronautics, Spencer J. Sherwin
C. Schwab, Switzerland) Schwab, C. (Associate Professor, Associate Professor, Seminar fur Angewandte Mathematik, ETH, Zurich, Christoph Schwab, Ch Schwab
Yair Censor, Stavros A. Zenios, Israel) Censor, Yair (Professor, Department of Mathematics and Computer Science, University of Haifa, Professor, Department of Mathematics and Computer Science, University of Haifa, University of Cyprus) Zenios, Stavros A. (Professor, Dean, School of Economics and Management, Professor, Dean, School of Economics and Management, Stravos A. Zenios
Howard Elman, David Silvester, Andy Wathen, University of Maryland at College Park) Elman, Howard (Professor of Computer Science, Professor of Computer Science, University of Manchester) Silvester, David (Professor, Professor, School of Mathematics, University of Oxford) Wathen, Andy (Reader in Numerical Analysis, Reader in Numerical Analysis