Download or read book Computer Program for Steady Transonic Flow Over Thin Airfoils by Finite Elements written by S. T. K. Chan and published by . This book was released on 1975 with total page 99 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite element program is described for the analysis of subsonic and transonic flows over thin airfoils by solving the nonlinear transonic potential equation based on small disturbance theory. The present numerical algorithm uses the concept of finite elements in conjunction with the least square method of weighted residuals. Since the governing equation is of the elliptic-hyperbolic type, a 'one-sided assembly technique' was devised and adapted in the supersonic region to restore the directional property of the flow, which was removed by the exclusion of entropy from the transonic potential equation. The finite element discretization results in a system of banded nonlinear algebraic equations, which is solved by direct iterations. The elements presently used include triangles and quadrilaterals with the perturbed potential function and velocity components as nodal unknowns. Boundary conditions of both Dirichlet and Neumann types are therefore imposed conveniently. Secondary unknowns are computed directly without resorting to numerical differentiation. The computer program is separated into two parts: the first part (designated as STRANL-I) generates the necessary mesh information and, if desired, produces a mesh plot and optimal nodal numbering as well; STRANL-II carries out the analysis and displays the pressure coefficients along the chord line on printer plots. Two sample cases of flow over a NACA 64 A006 and a 6% thick circular arc are given.

Download or read book Finite Element Analysis of Transonic Flows Over Thin Airfoils Volume II Program User s Manual written by H. C. Chen and published by . This book was released on 1976 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite element program is described for computing steady and unsteady (oscillatory and transient) transonic flows over thin airfoils by solving directly the unsteady, nonlinear transonic potential equation based on small disturbance theory. The present numerical algorithm is developed using the concept of finite elements in conjunction with the least squares method of weighted residuals applied to both space and time. The basic element presently used is a product of an element in space and an element in time. The former has a cubic expansion inside each element, while the latter is a quadratic Lagrangian element. For each time step, the finite element discretization in both space and time results in a recurrence relationship in the form of a banded system of algebraic equations, which is solved by Gaussian elimination. The embedded shocks are smeared and a matching scheme for computing effectively flow over lifting airfoils is also incorporated in the program. The present computer program is composed of two parts: the first part (designated as UTRANL-I) generates, from a limited number of input cards, the necessary mesh information and, if desired, produces a CALCOMP mesh plot; the second part (UTRANL-II) carries out the analysis and displays the pressure coefficients along the chordline on printer plots. Two sample cases of flow over a NACA 64A 410 and a NACA 64A 006 airfoils are given to demonstrate the applicability and usage of the program. Te solution procedures are found to be quite efficient and accurate, permitting the aerodynamic forces to be calculated to engineering accuracy in less than ten minutes CPU time on a CDC 6600 computer for the most time consuming case among all those studied. (Author).

Download or read book Finite Element Analysis of Transonic Flows Over Thin Airfoils written by S. T. K. Chan and published by . This book was released on 1976 with total page 69 pages. Available in PDF, EPUB and Kindle. Book excerpt: A finite element algorithm is described for computing steady and unsteady (oscillatory and transient) transonic flows over thin airfoils by solving directly the unsteady, nonlinear transonic potential equation based on small disturbance theory. The numerical algorithm is developed using the concept of finite elements in conjunction with the least squares method of weighted residuals applied to both space and time. The basic element presently used is a product of an element in space and an element in time. The former has a cubic expansion inside each element, while the latter is a quadratic Lagrange element. The embedded shocks are smeared and, in computing flow over lifting airfoils, use is made of the far field asymptotic solution to increase computational efficiency. For each time step, the finite element discretization in both space and time results in a recurrence relationship in the form of a banded system of algebraic equations, which is solved by Gaussian eliminations. Sample problems of steady flow over lifting airfoils and unsteady flow over airfoils executing harmonic motion are calculated to demonstrate the applicability and validity of the present approach. The solution procedures are found to be adequately accurate and very efficient, with unsteady solution obtainable in less than ten minutes CPU time on a CDC 6600 computer. (Author).

Download or read book TAIR A Transonic Airfoil Analysis Computer Code written by F. Carroll Dougherty and published by . This book was released on 1981 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Investigation of Upwind Schemes for Finite Element Analysis of Transonic Flow Over Thin Airfoils written by Dennis L. Hunt (2LT, USAF.) and published by . This book was released on 1981 with total page 166 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Analysis of Transonic Flow by the Method of Weighted Residuals written by S. T. K. Chan and published by . This book was released on 1975 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Flow Over Airfoils in the Transonic Regime computer Programs written by Richard J. Magnus and published by . This book was released on 1970 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital computer programs for solving two problems are described. The first is for calculating planar inviscid transonic flow over an airfoil by a finite difference method and the second is for calculating the boundary layer on an airfoil for an arbitrary surface velocity distribution by an integral method. The report contains descriptions of the programs and subroutines, program listings and flow charts, and discussion of some of the program features. (Author).

Download or read book TRANDESNF A Computer Program for Transonic Airfoil Design and Analysis in Nonuniform Flow written by Jen-Fu Chang and published by . This book was released on 1987 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Computer Program for the Design and Analysis of Low speed Airfoils written by Richard A. Eppler and published by . This book was released on 1980 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book TRANDESNF written by Jen-Fu Chang and published by . This book was released on 1987 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Computation of Transonic Flows by Finite element and Finite difference Methods written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Office and published by . This book was released on 1978 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Finite Element Analysis of Transonic Flows in Cascades written by Akin Ecer and published by . This book was released on 1981 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Transonic Potential Flow Computations by Finite Elements written by and published by . This book was released on 1978 with total page 83 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Numerical Computation of Transonic Flows by Finite element and Finite diffence Methods written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Office and published by . This book was released on 1978 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Development and Application of a Program to Calculate Transonic Flow Around an Oscillating Three dimensional Wing Using Finite Difference Procedures written by and published by . This book was released on 1989 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book GRUMFOIL written by H. R. Mead and published by . This book was released on 1985 with total page 80 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Computation of Shock Free Transonic Flows for Airfoil Design Classic Reprint written by David G. Korn and published by Forgotten Books. This book was released on 2017-11-18 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Computation of Shock-Free Transonic Flows for Airfoil Design Steady shock-free transonic compressible fluid flow about a series of symmetric airfoils without circulation is found by computing analytic solutions of the hodograph equations for an ideal polytropic gas in two dimensions. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.