Theory of Optimum Aerodynamic Shapes
Author : Angelo Miele
Publisher :
Page : 488 pages
File Size : 25,58 MB
Release : 1965
Category : Aerodynamics, Hypersonic
ISBN :
Author : Angelo Miele
Publisher :
Page : 488 pages
File Size : 25,58 MB
Release : 1965
Category : Aerodynamics, Hypersonic
ISBN :
Author : J. J. Chattot
Publisher : Springer
Page : 625 pages
File Size : 38,94 MB
Release : 2015-03-31
Category : Science
ISBN : 9401798257
This book covers classical and modern aerodynamics, theories and related numerical methods, for senior and first-year graduate engineering students, including: -The classical potential (incompressible) flow theories for low speed aerodynamics of thin airfoils and high and low aspect ratio wings. - The linearized theories for compressible subsonic and supersonic aerodynamics. - The nonlinear transonic small disturbance potential flow theory, including supercritical wing sections, the extended transonic area rule with lift effect, transonic lifting line and swept or oblique wings to minimize wave drag. Unsteady flow is also briefly discussed. Numerical simulations based on relaxation mixed-finite difference methods are presented and explained. - Boundary layer theory for all Mach number regimes and viscous/inviscid interaction procedures used in practical aerodynamics calculations. There are also four chapters covering special topics, including wind turbines and propellers, airplane design, flow analogies and hypersonic (rotational) flows. A unique feature of the book is its ten self-tests and their solutions as well as an appendix on special techniques of functions of complex variables, method of characteristics and conservation laws and shock waves. The book is the culmination of two courses taught every year by the two authors for the last two decades to seniors and first-year graduate students of aerospace engineering at UC Davis.
Author : B. Kawohl
Publisher : Springer
Page : 397 pages
File Size : 24,10 MB
Release : 2007-05-06
Category : Mathematics
ISBN : 3540444866
Optimal Shape Design is concerned with the optimization of some performance criterion dependent (besides the constraints of the problem) on the "shape" of some region. The main topics covered are: the optimal design of a geometrical object, for instance a wing, moving in a fluid; the optimal shape of a region (a harbor), given suitable constraints on the size of the entrance to the harbor, subject to incoming waves; the optimal design of some electrical device subject to constraints on the performance. The aim is to show that Optimal Shape Design, besides its interesting industrial applications, possesses nontrivial mathematical aspects. The main theoretical tools developed here are the homogenization method and domain variations in PDE. The style is mathematically rigorous, but specifically oriented towards applications, and it is intended for both pure and applied mathematicians. The reader is required to know classical PDE theory and basic functional analysis.
Author : George Leitmann
Publisher : Springer Science & Business Media
Page : 313 pages
File Size : 10,90 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 148990333X
When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems.
Author : Luigi Ambrosio
Publisher : Springer Science & Business Media
Page : 184 pages
File Size : 22,11 MB
Release : 2003-06-12
Category : Mathematics
ISBN : 9783540401926
Leading researchers in the field of Optimal Transportation, with different views and perspectives, contribute to this Summer School volume: Monge-Ampère and Monge-Kantorovich theory, shape optimization and mass transportation are linked, among others, to applications in fluid mechanics granular material physics and statistical mechanics, emphasizing the attractiveness of the subject from both a theoretical and applied point of view. The volume is designed to become a guide to researchers willing to enter into this challenging and useful theory.
Author :
Publisher :
Page : 456 pages
File Size : 41,33 MB
Release : 1995
Category : Aeronautics
ISBN :
Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.
Author : John A. Burns
Publisher : CRC Press
Page : 564 pages
File Size : 46,7 MB
Release : 2013-08-28
Category : Mathematics
ISBN : 146657139X
Introduction to the Calculus of Variations and Control with Modern Applications provides the fundamental background required to develop rigorous necessary conditions that are the starting points for theoretical and numerical approaches to modern variational calculus and control problems. The book also presents some classical sufficient conditions and discusses the importance of distinguishing between the necessary and sufficient conditions. In the first part of the text, the author develops the calculus of variations and provides complete proofs of the main results. He explains how the ideas behind the proofs are essential to the development of modern optimization and control theory. Focusing on optimal control problems, the second part shows how optimal control is a natural extension of the classical calculus of variations to more complex problems. By emphasizing the basic ideas and their mathematical development, this book gives you the foundation to use these mathematical tools to then tackle new problems. The text moves from simple to more complex problems, allowing you to see how the fundamental theory can be modified to address more difficult and advanced challenges. This approach helps you understand how to deal with future problems and applications in a realistic work environment.
Author : Henri Cabannes
Publisher : Elsevier
Page : 249 pages
File Size : 49,64 MB
Release : 2012-12-02
Category : Science
ISBN : 0323162320
Theoretical Magnetofluiddynamics provides an overview of the state of knowledge in magnetofluiddynamics and its applications. Magnetofluiddynamics is concerned with the study of the interaction between magnetic fields and fluid conductors of electricity. This discipline serves to unite classical fluid mechanics with electromagnetism of media in motion; therefore, it is equally of interest to students of electrodynamics and to those of aerodynamics. The former always think of speeds which are of the order of the speed of light while the latter confine their attention to speeds which are of the order of the speed of sound. This book contains six chapters and begins by establishing equations of magnetofluiddynamics in detail, both for motion with shock waves and for continuous motion. Subsequent chapters deal with weak discontinuities or discontinuities in the derivatives of the characteristic flow quantities; strong discontinuities or discontinuities in the characteristic flow quantities; and one-dimensional motion, motion in ducts, and structure of shock waves; and motion past obstacles.
Author : Adriana Nastase
Publisher : Elsevier
Page : 425 pages
File Size : 47,68 MB
Release : 2010-07-07
Category : Technology & Engineering
ISBN : 008055699X
Computation of Supersonic Flow over Flying Configurations is a high-level aerospace reference book that will be useful for undergraduate and graduate students of engineering, applied mathematics and physics. The author provides solutions for three-dimensional compressible Navier-Stokes layer subsonic and supersonic flows. - Computational work and experimental results show the real-world application of computational results - Easy computation and visualization of inviscid and viscous aerodynamic characteristics of flying configurations - Includes a fully optimized and integrated design for a proposed supersonic transport aircraft
Author : Dorin Bucur
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 24,34 MB
Release : 2006-09-13
Category : Mathematics
ISBN : 0817644032
Shape optimization problems are treated from the classical and modern perspectives Targets a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems Requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis Driven by several good examples and illustrations Poses some open questions.