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Zusatztext 'I found it very stimulating and furthermore convincing in its basic tenet that gradient based optimization is workable and highly competetive for shape optimization.' Informationen zum Autor 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. Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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
