Author: P. NiyogiPublisher: Springer
ISBN: 9783662195734
Category : Science
Languages : en
Pages : 193
Book Description
Integral Equation Method in Transonic Flow
Author: P. NiyogiPublisher: Springer
ISBN: 9783662195734
Category : Science
Languages : en
Pages : 193
Book Description
Integral Equation Method in Transonic Flow
Author: Pradip NiyogiPublisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 212
Book Description
On Some Integral Equation Methods in Two-dimensional Transonic Flow
Author: Sunil Kumar JainPublisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 140
Book Description
The Integral Equation Method for Transonic Flow Interpreted as Method of Weighted Residuals
Author: Karl G. GuderleyPublisher:
ISBN:
Category :
Languages : en
Pages : 100
Book Description
The integral equation method for transonic flow, originally suggested by Oswatitsch and extended by Spreiter, Zierep, Hancock and Nixon is interpreted as a method of weighted residuals. The underlying mathematical concepts are developed in several appendices. This interpretation makes it possible to combine the method with other weighted residual approaches, for instance, finite difference or finite element methods. The latter methods, because of their strongly-localized character are particularly well-suited to treat the transition through the sonic line and shocks. The integral equation method is best in the subsonic part of the flow field. Using the integral equation method only in far field, one obtains far field conditions which approximately take into account nonlinear terms even in the far field, and, therefore, are more accurate than far field conditions so far available in the literature.
Solution of Transonic Flows by an Integro-differential Equation Method
Author: Computation of Steady Two-dimensional Transonic Flows by an Integral Equation Method
Author: Wandera OganaPublisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 374
Book Description
Calculation on Transonic Flows Using Integral Equation Methods
Author: D. NixonAn Integral Equation Method for Boundary Interference in a Perforated-wall Wind Tunnel at Transonic Speeds
Author: E. M. KraftPublisher:
ISBN:
Category : Aerodynamics, Transonic
Languages : en
Pages : 84
Book Description
The wind tunnel boundary interference at transonic speeds on a thin airfoil in a two-dimensional perforated-wall wind tunnel was determined. The interference was found by applying an integral equation method to the nonlinear transonic small disturbance equation including embedded supersonic regions with shock waves. The kernels of the ensuing integral equation were replaced by series approximations, and the integrals were evaluated in closed form. The iterative technique used to calculate the interference from the integral equation method is shown to converge rapidly, and the computing time for the integral equation method is typically an order of magnitude less than present numerical methods. As a special case, the integral equation method for a thin airfoil in free air was also examined. It was found that the introduction of a novel influence function yields, for the first time, a self-contained integral equation for a lifting airfoil. In addition, a systematic study of the classical assumption used to simplify the integral equation shows that the integral method can provide solutions in good agreement with results from the numerical methods.
Solution Methods for Integral Equations
Author: M. A. GoldbergPublisher: Springer Science & Business Media
ISBN: 1475714661
Category : Science
Languages : en
Pages : 351
Book Description
Integral Equation Formulation for Three-dimensional Unsteady Transonic Flow
Author: John Anthony GearPublisher:
ISBN: 9780642111173
Category : Aerodynamics, Transonic
Languages : en
Pages : 10
Book Description
The unsteady transonic small perturbation differential equation is converted into an integrodifferential equation by application of the classical Green's function method. It is shown that no contribution form sock waves explicitly appears in this integral equation, due to the shock capturing properties of the Green's function method. After assuming that the motion consists of small infinitesimal perturbations around a thin nearly-planar body, a simplified integral equation for the streamwise velocity component is obtained, which is suitable for fast numerical computations. Keywords: Unsteady flow; Transonic flow; Three-dimensional flow. (Australia).