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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: Richard E. Meyer
Publisher: Academic Press
ISBN: 1483264602
Category : Technology & Engineering
Languages : en
Pages : 356
Get Book Here
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:
Publisher:
ISBN:
Category :
Languages : en
Pages : 355
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Book Description
Contents: Computational Fluid Dynamics of Airfoils and Wings; Shock-Free Configurations in Two-and Three-Dimensional Transonic Flow; Steady-State Solution of the Euler Equations for Transonic Flow; Calculation of Transonic Potential Flow Past Three-Dimensional Configurations; Computational Study of the Asymptotic Flow Structure of a High-Aspect-Ratio Swept Wing in Transonic Flow; Some Remarks on the Numerical Solution of Tricomi-Type Equations; Numerical Solution of the Equations of Compressible Viscous Flow; Implicit Finite Difference Simulation of Inviscid and Viscous Compressible Flow; Transonic Flows with Viscous Effects; Towards a Closer Cooperation Between Theoretical and Numerical Analysis in Gas Dynamics; Tracking of Interfaces for Fluid flow: Accurate Methods for Piecewise Smooth Problems; Shock Calculations and the Numerical Solution of Singular Perturbation Problems; Convergence of Approximate Solutions to Conservation Laws; and The Design and Numerical Analysis of Vortex Methods.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 345
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Book Description
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
Author: Richard E. Meyer
Publisher:
ISBN:
Category :
Languages : en
Pages : 345
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Book Description
Author: Enrique Alberto Thomann
Publisher:
ISBN:
Category :
Languages : en
Pages : 234
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Book Description
Author: Heinrich J. Ramm
Publisher: Oxford University Press
ISBN: 0195362950
Category : Science
Languages : en
Pages : 211
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Book Description
This new book leads readers step-by-step through the complexities encountered as moving objects approach and cross the sound barrier. The problems of transonic flight were apparent with the very first experimental flights of scale-model rockets when the disastrous impact of shock waves and flow separations caused the aircraft to spin wildly out of control. Today many of these problems have been overcome, and this book offers an introduction to the transonic theory that has made possible many of these advances. The emphasis is on the most important basic approaches to the solution of transonic problems. The book also includes explanations of common pitfalls that must be avoided. An effort has been made to derive the most important equations of inviscid and viscous transonic flow in sufficient detail so that even novices may feel confident in their problem-solving ability. The use of computer approaches is reviewed, with references to the extensive literature in this area, while the critical shortcomings of an exclusive reliance on computational methods are also described. The book will be valuable to anyone who needs to acquire an understanding of transonic flow, including practicing engineers as well as students of fluid mechanics.
Author: T. C Adamson (Jr)
Publisher:
ISBN:
Category :
Languages : en
Pages : 99
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Book Description
A two dimensional unsteady transonic flow of a perfect gas with constant specific heats is considered, with solutions found in the form of perturbations from a uniform, sonic, isentropic flow. Longitudinal viscous stress terms are included so that shock waves can be considered. The case where the characteristic time of a temporal flow disturbance is large compared to the time taken by a sonic disturbance to cross the transonic regime is considered. A similarity solution involving an arbitrary function of time is found and it is shown that this solution corresponds to unsteady channel flows with shock waves, for the case where the walls are in general not stationary. Solutions are presented for thick (shock fills transonic region) and thin (shock tends to a discontinuity) shock waves in unsteady flows, both for decelerating and accelerating channel flows. For the thin shock case, both numerical and asymptotic solutions are given. (Author).
Author: J.D. Cole
Publisher: Elsevier
ISBN: 0444599061
Category : Transportation
Languages : en
Pages : 482
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Book Description
This self-contained book begins with fundamental principles and proceeds to the latest developments in the field. Using a systematic mathematical approach, it covers linearized and transonic theories, simple flows, general theories of lift and drag, subsonic flows, sonic flows, shock waves, airfoils and three-dimensional wings. Also discussed are far fields and the transonic law of stabilization.Significant mathematical areas which enter the discussion are: Partial Differential Equations of Mixed Type, Weak Solutions (Shock Waves), Hodograph Transformations, Similarity Solutions and New Numerical Methods for Equations of Mixed Type.
Author: Marten T. Landahl
Publisher: Courier Dover Publications
ISBN: 0486839907
Category : Science
Languages : en
Pages : 147
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Book Description
This classic monograph on unsteady transonic flow — the flow of air encountered at speeds at or near the speed of sound — is of continuing interest to students and professionals in aerodynamics, fluid dynamics, and other areas of applied mathematics. After a brief Introduction, Swedish physicist Mårten T. Landahl presents a chapter in which the two-dimensional solution is derived, succeeded by a discussion of its relation to the subsonic and supersonic solutions. Three chapters on low aspect ratio configurations follow, covering triangular wings and similar planforms with curved leading edges, rectangular wings, and cropped delta wings, and low aspect ratio wing-body combinations. The treatment concludes with a consideration of the experimental determination of air forces on oscillating wings at transonic speeds.
