Applied shape optimization for fluids

Examining shape optimization problems for fluids, with the equations needed for their understanding and the simulation of these problems, this text introduces automatic differentiation, approximate gradients, and automatic mesh refinement.

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Bibliographic Details
Main Authors: Mohammadi, B., (Author), Pironneau, Olivier, (Author)
Format: eBook
Language: English
Published: Oxford ; New York : Oxford University Press, ©2010.
Edition: 2nd ed.
Series: Numerical mathematics and scientific computation.
Subjects:
Fluid dynamics > Mathematics.
Mathematical optimization.
Shape theory (Topology)
elektronické knihy
electronic books
ISBN: 9780199546909
0199546908
9780191574214
019157421X
9780191720482
0191720488
9781523121236
1523121238
Physical Description: 1 online resource (xiv, 277 pages) : illustrations

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Table of contents

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008 091114s2010 enka ob 001 0 eng c
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020 |a 9780199546909 
020 |a 0199546908 
020 |a 9780191574214  |q (electronic bk.) 
020 |a 019157421X  |q (electronic bk.) 
020 |a 9780191720482 
020 |a 0191720488 
020 |a 9781523121236  |q (electronic bk.) 
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042 |a pcc 
100 1 |a Mohammadi, B.,  |e author. 
245 1 0 |a Applied shape optimization for fluids /  |c Bijan Mohammadi, Olivier Pironneau. 
250 |a 2nd ed. 
260 |a Oxford ;  |a New York :  |b Oxford University Press,  |c ©2010. 
300 |a 1 online resource (xiv, 277 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Numerical mathematics and scientific computation 
504 |a Includes bibliographical references and index. 
506 |a Plný text je dostupný pouze z IP adres počítačů Univerzity Tomáše Bati ve Zlíně nebo vzdáleným přístupem pro zaměstnance a studenty 
520 8 |a Examining shape optimization problems for fluids, with the equations needed for their understanding and the simulation of these problems, this text introduces automatic differentiation, approximate gradients, and automatic mesh refinement. 
505 0 |a 1 Introduction; 2 Optimal shape design; 2.1 Introduction; 2.2 Examples; 2.2.1 Minimum weight of structures; 2.2.2 Wing drag optimization; 2.2.3 Synthetic jets and riblets; 2.2.4 Stealth wings; 2.2.5 Optimal breakwater; 2.2.6 Two academic test cases: nozzle optimization; 2.3 Existence of solutions; 2.3.1 Topological optimization; 2.3.2 Suficient conditions for existence; 2.4 Solution by optimization methods; 2.4.1 Gradient methods; 2.4.2 Newton methods; 2.4.3 Constraints; 2.4.4 A constrained optimization algorithm; 2.5 Sensitivity analysis 
505 8 |a 2.5.1 Sensitivity analysis for the nozzle problem2.5.2 Numerical tests with freefem++; 2.6 Discretization with triangular elements; 2.6.1 Sensitivity of the discrete problem; 2.7 Implementation and numerical issues; 2.7.1 Independence from the cost function; 2.7.2 Addition of geometrical constraints; 2.7.3 Automatic differentiation; 2.8 Optimal design for Navier-Stokes flows; 2.8.1 Optimal shape design for Stokes flows; 2.8.2 Optimal shape design for Navier-Stokes flows; References; 3 Partial differential equations for fluids; 3.1 Introduction; 3.2 The Navier-Stokes equations 
590 |a Knovel  |b Knovel (All titles) 
650 0 |a Fluid dynamics  |x Mathematics. 
650 0 |a Mathematical optimization. 
650 0 |a Shape theory (Topology) 
655 7 |a elektronické knihy  |7 fd186907  |2 czenas 
655 9 |a electronic books  |2 eczenas 
700 1 |a Pironneau, Olivier,  |e author. 
776 0 8 |i Print version:  |a Mohammadi, B.  |t Applied shape optimization for fluids.  |b 2nd ed.  |d Oxford ; New York : Oxford University Press, ©2010  |z 9780199546909  |w (DLC) 2009278789  |w (OCoLC)368050915 
830 0 |a Numerical mathematics and scientific computation. 
856 4 0 |u https://proxy.k.utb.cz/login?url=https://app.knovel.com/hotlink/toc/id:kpASOFE007/applied-shape-optimization?kpromoter=marc  |y Full text 

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