Numerical Methods for the Computation of Inviscid Transonic Flows with Shock Waves PDF Download
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Author: Arthur Rizzi
Publisher: Springer-Verlag
ISBN: 3663140083
Category : Science
Languages : de
Pages : 283
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Book Description
Author: Arthur Rizzi
Publisher: Springer-Verlag
ISBN: 3663140083
Category : Science
Languages : de
Pages : 283
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Book Description
Author: Hans Jochen Wirz
Publisher: Hemisphere Pub
ISBN:
Category : Science
Languages : en
Pages : 424
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Book Description
Author: Arthur Rizzi
Publisher: Vieweg+teubner Verlag
ISBN:
Category : Science
Languages : en
Pages : 288
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Book Description
This is one in a series of workshops organized by the GAID1 Specialist Group for Numerical Methods in Fluid Hechanics (GAMM-Fachausschuss flir Numerische Hethoden in der Stromungs mechanik) whose purpose is to bring together the small group of researchers actively working on a sharply defined topic in order to discuss in detail their problems and experiences, to promote direct comparison and critical evaluation of algorithms, and to stimulate new ideas for numerical methods in fluid dynamics. The chairmen of this workshop were A. Rizzi of FFA, Sweden, and H. Viviand of ONERA, France. 2. INTRODUCTION Practically ten years have passed since it was first demonstrat ed that the nonlinear potential equation of mixed type which governs inviscid transonic flow could be solved in a numerical procedure. These years have seen an interest in the computation of transonic flow that continues to grow because of the develop ing and ever-increasing ability of the numerical methods to solve more and more complex flows and because of the great practical use to which their solutions can be put. From the question of whether we can solve the equations of transonic flow we have now progressed to the question of how accurately can we solve them. Any attempt to answer it must by necessity include a collective comparison of the results obtained from the com putational methods that are being applied today for the numerical solution of inviscid steady transonic flow.
Author: Richard E. Meyer
Publisher: Academic Press
ISBN: 1483264602
Category : Technology & Engineering
Languages : en
Pages : 356
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Book Description
Mathematics Research Center Symposium: Transonic, Shock, and Multidimensional Flows: Advances in Scientific Computing covers the lectures presented at a Symposium on Transonic, Shock, and Multidimensional Flows, held in Madison on May 13-15, 1981, under the auspices of the Mathematics Research Center of the University of Wisconsin. The book focuses on the advancements in the scientific computation of high-speed aerodynamic phenomena and related fluid motions. The selection first elaborates on computational fluid dynamics of airfoils and wings; shock-free configurations in two- and three-dimensional transonic flow; and steady-state solution of the Euler equations for transonic flow. Discussions focus on boundary conditions, convergence acceleration, indirect design of airfoils, and trailing edge and the boundary layer. The text then examines the calculation of transonic potential flow past three-dimensional configurations and remarks on the numerical solution of Tricomi-type equations. The manuscript ponders on the design and numerical analysis of vortex methods, shock calculations and the numerical solution of singular perturbation problems, tracking of interfaces for fluid flow, and transonic flows with viscous effects. Topics include numerical algorithm, difference approximation for scalar equations, boundary conditions, transonic flow in a tube, and governing equations. The selection is a dependable reference for researchers interested in transonic, shock, and multidimensional flows.
Author: Earll M. Murman
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 69
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Book Description
A discussion is given of the methods for computing transonic flows with imbedded shock waves. Time dependent techniques, relaxation methods and approximate solutions are considered with emphasis placed on the latest developments. More details are given on the relaxation methods than other techniques. Computing times, accuracy, and proper treatment of shock waves are stressed. (Author).
Author: Joseph L. Steger
Publisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 52
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Book Description
Author: JAMES LEWIS MACE
Publisher:
ISBN:
Category :
Languages : en
Pages : 244
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Book Description
airfoil. Finally, a finite-volume numerical method has been used to provide solutions to inviscid, transonic flows in a channel.
Author: Charles Hirsch
Publisher: Wiley
ISBN: 9780471924524
Category : Technology & Engineering
Languages : en
Pages : 724
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Book Description
Numerical Computation of Internal and External Flows Volume 2: Computational Methods for Inviscid and Viscous Flows C. Hirsch, Vrije Universiteit Brussel, Brussels, Belgium This second volume deals with the applications of computational methods to the problems of fluid dynamics. It complements the first volume to provide an excellent reference source in this vital and fast growing area. The author includes material on the numerical computation of potential flows and on the most up-to-date methods for Euler and Navier-Stokes equations. The coverage is comprehensive and includes detailed discussion of numerical techniques and algorithms, including implementation topics such as boundary conditions. Problems are given at the end of each chapter and there are comprehensive reference lists. Of increasing interest, the subject has powerful implications in such crucial fields as aeronautics and industrial fluid dynamics. Striking a balance between theory and application, the combined volumes will be useful for an increasing number of courses, as well as to practitioners and researchers in computational fluid dynamics. Contents Preface Nomenclature Part V: The Numerical Computation of Potential Flows Chapter 13 The Mathematical Formulations of the Potential Flow Model Chapter 14 The Discretization of the Subsonic Potential Equation Chapter 15 The Computation of Stationary Transonic Potential Flows Part VI: The Numerical Solution of the System of Euler Equations Chapter 16 The Mathematical Formulation of the System of Euler Equations Chapter 17 The Lax - Wendroff Family of Space-centred Schemes Chapter 18 The Central Schemes with Independent Time Integration Chapter 19 The Treatment of Boundary Conditions Chapter 20 Upwind Schemes for the Euler Equations Chapter 21 Second-order Upwind and High-resolution Schemes Part VII: The Numerical Solution of the Navier-Stokes Equations Chapter 22 The Properties of the System of Navier-Stokes Equations Chapter 23 Discretization Methods for the Navier-Stokes Equations Index
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
L REPT., SMasson, Bruce S. ;Friedman, Eugene ;DAAA21-72-C-0334PATR-4271(*projectiles, *transonic characteristics), computer programs, wind tunnel models, flow fields, numerical methods and procedures, aerodynamic configurations, shock wavesaxisymmetric bodies, inviscid flowA computer program SONIC 2, was developed to calculate transonic flow about axisymmetric bodies. The code computes the exact, inviscid compressible flow field with or without shock waves, and it uses a body oriented mesh to permit the exact treatment of an arbitrary body shape. The numerical integration employs the method of Godunov to obtain a stable finite difference approximation to the flow equations. Several examples of results of the code are included along with comparisons to wind tunnel data. (Author).
Author: Alexander G Kuz'min
Publisher: Wiley
ISBN: 047085295X
Category : Technology & Engineering
Languages : en
Pages : 316
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Book Description
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.
