Modern Problems in Computational Aerohydrodynamics

Modern Problems in Computational Aerohydrodynamics PDF

Author: DorodniCyn/Chus

Publisher: CRC Press

Published: 1991-11-19

Total Pages: 410

ISBN-13: 9780849375330

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:This book emphasizes the numerical methods of solving boundary problems for nonlinear equations of aerohydrodynamics, especially partial differential and integro-differential equations. Topics discussed include an analysis of transonic gas flows and three-dimensional supersonic flows, the simulation of viscous fluid flows, perturbation development in a boundary layer, and approaches to constructing adaptive grids. The book will appeal to professional aeronautical engineers, applied physicists, applied mathematicians, and geophysicists. @

Boundary Value Problems for Transonic Flow

Boundary Value Problems for Transonic Flow PDF

Author: Alexander G Kuz'min

Publisher: John Wiley & Sons

Published: 2003-02-28

Total Pages: 316

ISBN-13: 047085295X

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Transonic flow occurs around moving objects as they approach and cross the sound barrier. Serious problems can occur at this point, such as shock-induced flow separation which can cause the aircraft to spin out of control. Another important practical problem is the achievement of higher aerodynamic performance of aircraft at cruise conditions, which leads to considerable fuel savings. The success in application of numerical methods for simulation of transonic flow and aircraft design depends on developments in the underlying mathematical theory. This book presents a breakthrough in the solvability analysis of boundary value problems, which makes it possible to establish convergence of finite element approximations for shock-free flow and to provide a framework for putting the existing numerical methods on a more sound basis. Also, physical aspects concerned with patterns of formation and propagation of weak shock waves are analysed. This contributes to the understanding of the extreme sensitivity of transonic flow to perturbation of freestream conditions. The developed theoretical knowledge base yields promising concepts of the airfoil design and active flow control by airfoil/wing shape modifications or suction/blowing through a perforated surface. Boundary Value Problems for Transonic Flow * Focuses on Computational Fluid Dynamics. * Addresses practical problems, such as airfoil design and flow control. * Presents developments made in the last two decades. In essence this is a much needed monograph for researchers and engineers in applied mathematics and numerical analysis applied to aerodynamics and for algorithm developers in Computational Fluid Dynamics in the aircraft industry. It gives design engineers the underlying mathematical theory necessary for developing new concepts for airfoil/wing design and flow control.

Mathematical Aspects of Numerical Solution of Hyperbolic Systems

Mathematical Aspects of Numerical Solution of Hyperbolic Systems PDF

Author: A.G. Kulikovskii

Publisher: CRC Press

Published: 2000-12-21

Total Pages: 564

ISBN-13: 9780849306082

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This important new book sets forth a comprehensive description of various mathematical aspects of problems originating in numerical solution of hyperbolic systems of partial differential equations. The authors present the material in the context of the important mechanical applications of such systems, including the Euler equations of gas dynamics, magnetohydrodynamics (MHD), shallow water, and solid dynamics equations. This treatment provides-for the first time in book form-a collection of recipes for applying higher-order non-oscillatory shock-capturing schemes to MHD modelling of physical phenomena. The authors also address a number of original "nonclassical" problems, such as shock wave propagation in rods and composite materials, ionization fronts in plasma, and electromagnetic shock waves in magnets. They show that if a small-scale, higher-order mathematical model results in oscillations of the discontinuity structure, the variety of admissible discontinuities can exhibit disperse behavior, including some with additional boundary conditions that do not follow from the hyperbolic conservation laws. Nonclassical problems are accompanied by a multiple nonuniqueness of solutions. The authors formulate several selection rules, which in some cases easily allow a correct, physically realizable choice. This work systematizes methods for overcoming the difficulties inherent in the solution of hyperbolic systems. Its unique focus on applications, both traditional and new, makes Mathematical Aspects of Numerical Solution of Hyperbolic Systems particularly valuable not only to those interested the development of numerical methods, but to physicists and engineers who strive to solve increasingly complicated nonlinear equations.

Smart Modeling for Engineering Systems

Smart Modeling for Engineering Systems PDF

Author: Igor B. Petrov

Publisher: Springer

Published: 2019-01-08

Total Pages: 346

ISBN-13: 3030062287

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This book highlights the work of several world-class researchers on smart modeling of complex systems. The contributions are grouped into the four main categories listed below. · Numerical schemes construction for the solution of partial differential equations. · Numerical methods in continuum media mechanics problems. · Mathematical modeling in aerodynamics, plasma physics, deformable body mechanics, and geological hydrocarbon exploration. · Mathematical modeling in medical applications. The book offers a valuable resource for theoreticians and application scientists and engineers, as well as postgraduate students, in the fields of computational methods, numerical experiments, parallel algorithms, deformable solid bodies, seismic stability, seismic prospecting, migration, elastic and acoustic wave investigation, gas dynamics, astrophysics, aerodynamics, fluid dynamics, turbulent flows, hypersonic flows, detonation waves, composite materials, fracture mechanics, melting of metals, mathematical economics, medicine, and biology.

Two-Dimensional Separated Flows

Two-Dimensional Separated Flows PDF

Author: S. M. Belotserkovsky

Publisher: CRC Press

Published: 1992-11-30

Total Pages: 322

ISBN-13: 9780849393068

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Two-Dimensional Separated Flows provides a systematic presentation of the theory of separated flow around bodies. The main classes of aerodynamic problems of plane-parallel flow around bodies are described, and the steady aerodynamic, unsteady aerodynamic, and statistical characteristics of a trailing wake are determined. Numerical methods based on the synthesis of models for non-viscous incompressible flow and boundary layer, algorithms, examples, and systematic comparisons are presented. The book also includes numerical results for the problem of separated flow around fixed, oscillating, and rotating cylinders, in addition to results for separated flow around an aerofoil over a wide range of angles. Two-Dimensional Separated Flows will benefit researchers and students studying aerodynamics, aircraft dynamics, aeroelasticity, and the aerodynamics of building structures.

Paradoxes in Aerohydrodynamics

Paradoxes in Aerohydrodynamics PDF

Author: Shakhbaz A. Yershin

Publisher: Springer

Published: 2016-09-01

Total Pages: 362

ISBN-13: 3319256734

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This book, on the general topic of hydroaerodynamics, investigates a number of exciting applications in this field, addressing specifically issues that allow seemingly paradoxical issues to be dealt with. The first part is devoted to the study of channel flows, in particular the lateral flow of a viscous and viscous-plastic liquid in a ring channel formed by coaxial cylinders. Specifically, the problem of dissipation of mechanical energy in channel flows of highly viscous liquids is addressed and solved. Furthermore, the mechanism leading to hydrodynamic erosion in intra-field pipelines (known as "channelized effect") is identified. Subsequently, a theory for channel flows with mass transfer through porous walls is developed. In the second part, viscous liquid free flows (jets) are investigated. In particular, a dispersion law for turbulent flow is derived and the existence of dynamic invariance in wake flows of variable density is demonstrated. The third part presents new insights from both theoretical and experimental research into concentrated vortex structure formation and development. The conditions for the existence of Taylor-Goertler vortices are determined and the mechanism for their formation is described. Last but not least, the theory of vortex rings, a particularly interesting problem in hydroaerodynamics, is introduced in the last section of this book. Care has been taken, when selecting original theoretical problems of interest, to make the link with related topics in the published literature. At the same time, all experimental research described in this book is given a meaningful physical interpretation and corroborated by suitable theoretical models and computations.

Engineering Hydrology

Engineering Hydrology PDF

Author: Chin Y. Kuo

Publisher:

Published: 1993

Total Pages: 1264

ISBN-13:

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This proceedings, Engineering Hydrology, contains papers that were presented at the Symposium held in San Francisco, California, July 25-30, 1993. The objectives of the Symposium are to provide a forum for technology transfer among practicing hydrologic engineers, to present recent advances in engineering hydrology with emphasis on their applications to practical problems of engineering design and analysis, and to bridge the gap between the theory and the practical profession. The topics covered in this proceedings have a very broad range including: precipitation and runoff; drought and water supply; frequency analysis of extreme events; groundwater flow and contaminant transport; minimum stream flow and habitat; geographical information systems; watershed modeling; and global climate change.