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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.
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Oxford University Press,
©2010.
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| Edición: | 2nd ed. |
| Colección: | Numerical mathematics and scientific computation.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 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. | ||
| 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 ACADEMIC - Chemistry & Chemical Engineering | ||
| 590 | |a Knovel |b ACADEMIC - Mechanics & Mechanical Engineering | ||
| 650 | 0 | |a Fluid dynamics |x Mathematics. | |
| 650 | 0 | |a Mathematical optimization. | |
| 650 | 0 | |a Shape theory (Topology) | |
| 650 | 6 | |a Dynamique des fluides |x Mathématiques. | |
| 650 | 6 | |a Optimisation mathématique. | |
| 650 | 6 | |a Théorie de la forme (Topologie) | |
| 650 | 7 | |a TECHNOLOGY & ENGINEERING |x Structural. |2 bisacsh | |
| 650 | 7 | |a Fluid dynamics |x Mathematics. |2 fast |0 (OCoLC)fst00927983 | |
| 650 | 7 | |a Mathematical optimization. |2 fast |0 (OCoLC)fst01012099 | |
| 650 | 7 | |a Shape theory (Topology) |2 fast |0 (OCoLC)fst01115236 | |
| 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://appknovel.uam.elogim.com/kn/resources/kpASOFE007/toc |z Texto completo |
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