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Numerical Solutions To Three Dimensional Shock Wave
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Author :Demetrios Christodoulou Publisher :European Mathematical Society ISBN 13 :9783037190319 Total Pages :1008 pages Book Rating :4.1/5 (93 download)
Book Synopsis The Formation of Shocks in 3-dimensional Fluids by : Demetrios Christodoulou
Download or read book The Formation of Shocks in 3-dimensional Fluids written by Demetrios Christodoulou and published by European Mathematical Society. This book was released on 2007 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: The equations describing the motion of a perfect fluid were first formulated by Euler in 1752. These equations were among the first partial differential equations to be written down, but, after a lapse of two and a half centuries, we are still far from adequately understanding the observed phenomena which are supposed to lie within their domain of validity. These phenomena include the formation and evolution of shocks in compressible fluids, the subject of the present monograph. The first work on shock formation was done by Riemann in 1858. However, his analysis was limited to the simplified case of one space dimension. Since then, several deep physical insights have been attained and new methods of mathematical analysis invented. Nevertheless, the theory of the formation and evolution of shocks in real three-dimensional fluids has remained up to this day fundamentally incomplete. This monograph considers the relativistic Euler equations in three space dimensions for a perfect fluid with an arbitrary equation of state. The author considers initial data for these equations which outside a sphere coincide with the data corresponding to a constant state. Under suitable restriction on the size of the initial departure from the constant state, he establishes theorems that give a complete description of the maximal classical development. In particular, it is shown that the boundary of the domain of the maximal classical development has a singular part where the inverse density of the wave fronts vanishes, signalling shock formation. The theorems give a detailed description of the geometry of this singular boundary and a detailed analysis of the behavior of the solution there. A complete picture of shock formation in three-dimensional fluids is thereby obtained. The approach is geometric, the central concept being that of the acoustical spacetime manifold.
Book Synopsis Vectorization of Computer Programs with Applications to Computational Fluid Dynamics by : Wolfgang Gentzsch
Download or read book Vectorization of Computer Programs with Applications to Computational Fluid Dynamics written by Wolfgang Gentzsch and published by Springer Science & Business Media. This book was released on 2013-03-08 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of the present book is to offer the most efficient tools for the vectorization of serial computer programs. Here, by vectorization we understand the adaptation of computer programs to the special architecture of modern available vector computers to exploit fully their potential, which will often result in remarkable performance improvements. The book is written primarily for users working in the various fields of computational physics, for scientists as well as for programmers running their jobs on a vector computer. The text may, however, also be of value to those who are interested in numerical algorithms. Although the examples discussed in chapter 9 have been taken from Computational Fluid Dynamics, the numerical methods are well-known, and are applied in many fields of Computational Physics. The book is divided into four parts. After a short introduction which outlines the limits of conventional serial computers in contrast to the possibilities offered by the new vector machines, the second part is addressed to the discussion of some main features of existing computer architectures. We restrict ourselves to the vector computers CRAY-1S and CDC-CYBER 205, although, in the meantime, many vector and parallel computers and array processors are available such as DENELCOR's Heterogeneous Element Processor (HEP), ICL's Distributed Array Processor (DAP), SPERRY UNIVAC's Array Processing System (APS), STAR TECHNOLOGIES ST-l00, FLOATING POINT SYSTEMS' Array Processor (FPS), FUJITSU's FACOM VP-l00 and VP-200, HITACHI's Integrated Array Processor (lAP), HITACHI's S 810/10 and S 810/20 and others.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Shock Fitting written by Marcello Onofri and published by Springer. This book was released on 2017-11-18 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes the revolutionary capabilities of new shock fitting algorithms; a great improvement in computational fluid dynamics (CFD) for high-speed numerical simulations. Shock fitting methods provide a solution to the current difficulties and inaccuracies in shock-capturing approaches. This work traces the evolution of shock-fitting methods, from the pioneering methods based on the structured grids (boundary and floating shock-fitting) to recent developments on unstructured grids, illustrating algorithmic details, significant applications and potential developments. Also, to celebrate the centenary birth of the father of shock-fitting techniques, the book also includes a tribute to Gino Moretti, as well as his unpublished manuscript. This book will appeal to professionals, researchers, and graduate students in the field of CFD.
Book Synopsis Internal Aerodynamics of a Generic Three-dimensional Scramjet Inlet at Mach 10 by : Scott D. Holland
Download or read book Internal Aerodynamics of a Generic Three-dimensional Scramjet Inlet at Mach 10 written by Scott D. Holland and published by . This book was released on 1995 with total page 60 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computational Fluid Dynamics 2010 by : Alexander Kuzmin
Download or read book Computational Fluid Dynamics 2010 written by Alexander Kuzmin and published by Springer Science & Business Media. This book was released on 2011-05-03 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: The International Conference on Computational Fluid Dynamics is held every two years and brings together physicists, mathematicians and engineers to review and share recent advances in mathematical and computational techniques for modeling fluid flow. The proceedings of the 2010 conference (ICCFD6) held in St Petersburg, Russia, contain a selection of refereed contributions and are meant to serve as a source of reference for all those interested in the state of the art in computational fluid dynamics.
Book Synopsis Supercomputing in Aerospace by : Paul Kutler
Download or read book Supercomputing in Aerospace written by Paul Kutler and published by . This book was released on 1987 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis FY ... US Air Force Plan for Defense Research Sciences by :
Download or read book FY ... US Air Force Plan for Defense Research Sciences written by and published by . This book was released on 1983 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Shock Wave-Boundary-Layer Interactions by : Holger Babinsky
Download or read book Shock Wave-Boundary-Layer Interactions written by Holger Babinsky and published by Cambridge University Press. This book was released on 2011-09-12 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Shock wave-boundary-layer interaction (SBLI) is a fundamental phenomenon in gas dynamics that is observed in many practical situations, ranging from transonic aircraft wings to hypersonic vehicles and engines. SBLIs have the potential to pose serious problems in a flowfield; hence they often prove to be a critical - or even design limiting - issue for many aerospace applications. This is the first book devoted solely to a comprehensive, state-of-the-art explanation of this phenomenon. It includes a description of the basic fluid mechanics of SBLIs plus contributions from leading international experts who share their insight into their physics and the impact they have in practical flow situations. This book is for practitioners and graduate students in aerodynamics who wish to familiarize themselves with all aspects of SBLI flows. It is a valuable resource for specialists because it compiles experimental, computational and theoretical knowledge in one place.
Book Synopsis Computation of Three-dimensional Supersonic Viscous Flows in Internal Corners by : John C. Tannehill
Download or read book Computation of Three-dimensional Supersonic Viscous Flows in Internal Corners written by John C. Tannehill and published by . This book was released on 1980 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalogue, United States Public Documents by :
Download or read book Monthly Catalogue, United States Public Documents written by and published by . This book was released on 1995 with total page 1638 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Monthly Catalog of United States Government Publications by :
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on 1995 with total page 1632 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Super- and Hypersonic Aerodynamics and Heat Transfer by : V.Z. Parton
Download or read book Super- and Hypersonic Aerodynamics and Heat Transfer written by V.Z. Parton and published by Routledge. This book was released on 2018-03-29 with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent government and commercial efforts to develop orbital and suborbital passenger and transport aircraft have resulted in a burgeoning of new research. The articles in this book, translated from Russian, were contributed by the world's leading authorities on supersonic and hypersonic flows and heat transfer. This superb book addresses the physics and engineering aspects of ultra high-speed aerodynamic problems. Thorough coverage is given to an array of specific problem-solving equations. Super- and Hypersonic Aerodynamics and Heat Transfer will be essential reading for all aeronautical engineers, mechanical engineers, mathematicians, and physicists involved in this exciting field of research.
Book Synopsis Progress in Aeronautical Sciences by : D. Küchemann
Download or read book Progress in Aeronautical Sciences written by D. Küchemann and published by Elsevier. This book was released on 2014-12-02 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: Progress in Aeronautical Sciences, Volume 9 presents the vibrational characteristics of certain aircraft. This book supplements the comprehensive account of matrix methods of structural analysis. Organized into five chapters, this volume begins with an overview of the different schemes of the numerical method of characteristics for calculating three-dimensional steady supersonic gas flow about bodies moving at incidence. This text then examines the flow of a perfect gas and provides the generalization for the case of equilibrium and non-equilibrium flow of real gas. Other chapters consider the various aspects of the aerodynamic design of aircraft and discuss the application of modern computer methods to fluid mechanics. This book discusses as well the prospects for further development of the existing types and for the establishment of the as yet hypothetical types of aircraft. The final chapter shows how the evolution of the aerodynamic shape leads to a complete spectrum of major types of aircraft. This book is a valuable resource for engineers.
Book Synopsis Frontiers of Computational Fluid Dynamics 2002 by : David A. Caughey
Download or read book Frontiers of Computational Fluid Dynamics 2002 written by David A. Caughey and published by World Scientific. This book was released on 2002 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series of volumes on the ?Frontiers of Computational Fluid Dynamics? was introduced to honor contributors who have made a major impact on the field. The first volume was published in 1994 and was dedicated to Prof Antony Jameson; the second was published in 1998 and was dedicated to Prof Earl Murman. The volume is dedicated to Prof Robert MacCormack.The twenty-six chapters in the current volume have been written by leading researchers from academia, government laboratories, and industry. They present up-to-date descriptions of recent developments in techniques for numerical analysis of fluid flow problems, and applications of these techniques to important problems in industry, as well as the classic paper that introduced the ?MacCormack scheme? to the world.
Download or read book Aeronautical Engineering written by and published by . This book was released on 1992 with total page 648 pages. Available in PDF, EPUB and Kindle. Book excerpt: A selection of annotated references to unclassified reports and journal articles that were introduced into the NASA scientific and technical information system and announced in Scientific and technical aerospace reports (STAR) and International aerospace abstracts (IAA).
