Finite element analysis of transonic flows in cascades importance of computational grids in improving accuracy and convergence by Akin Ecer

Cover of: Finite element analysis of transonic flows in cascades | Akin Ecer

Published by National Aeronautics and Space Administration, Scientific and Technical Information Branch, For sale by the National Technical Information Service] in Washington, D.C, [Springfield, Va .

Written in English

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  • Aerodynamics, Transonic,
  • Cascades (Fluid dynamics),
  • Finite element method

Edition Notes

Book details

StatementAkin Ecer and Hasan U. Akay ; prepared for Lewis Research Center under grant NSG-3294
SeriesNASA contractor report -- 3446
ContributionsAkay, Hasan U, Lewis Research Center, United States. National Aeronautics and Space Administration. Scientific and Technical Information Branch, Indiana University-Purdue University at Indianapolis
The Physical Object
Paginationiv, 107 p. :
Number of Pages107
ID Numbers
Open LibraryOL16807031M

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Finite element analysis of transonic flows in cascades: Importance of computational grids in improving accuracy and convergence Article (PDF Available) August with 15. Finite element analysis of transonic flows in cascades. Washington, D.C.: National Aeronautics and Space Administration, Scientific and Technical Information Branch ; [Springfield, Va.: For sale by the National Technical Information Service], Books.

AIAA Education Series; Library of Flight; Progress in Astronautics and Aeronautics; The Aerospace Press; Browse All Books; Meeting Papers; Standards; About; For Authors ; Vol Issue 9.

No Access. Investigation of Transonic Flow in a Cascade Using the Finite Element by: Analysis of transonic flow through a cascade of airfoils is investigated using the finite element method.

Development of a computational grid suitable for complex flow structures and different types of boundary conditions is presented.

An efficient pseudo-time integration scheme is developed for the solution of by:   American Institute of Aeronautics and Astronautics Sunrise Valley Drive, Suite Reston, VA Cited by: The transonic cascade flow is calculated with an efficient and flexible Galerkin Finite Element method applied to the full potential equation in Artificial Compressibility form.

Some of the typical advantages of finite element techniques are demonstrated such as the use of higher order discretization with biquadratic elements besides the.

The finite element method is applied for the solution of transonic potential flows through a cascade of airfoils. Convergence characteristics of the solution scheme are discussed. Unsteady flow and flutter phenomena of turbomachinery cascades operating in the transonic regime are explored by a new numerical approach.

The two dimensional unsteady Euler equations are used to model the transonic cascade flows, and the cascade blades are modeled as thin plates.

Finite element analysis of transonic flows in cascades book minimize the discretization incompatibility, both the fluid and the solid domains are discretized using finite. In this paper, the stall and choke flutter analyses of NACA unstaggered cascades in transonic viscous flows are presented by using a time domain approach.

For the present time domain approach, a solution-adaptive finite volume method with rigid-deformable dynamic mesh treatment is adopted to solve the two-dimensional unsteady Navier-Stokes.

Experimental results in the cascade and in the cascade element yield a relative reduction of the total loss of 14 – 15% and an improvement of the isentropic efficiency of about 2%.

In the numerical simulation of stationary viscous flow the total loss reduces by more than 5% and the isentropic efficiency increases by. “A Linearized Unsteady Aerodynamic Analysis for Transonic Cascades”, Journal for Fluid Mechanics, Vol, pp– Google Scholar.

Whitehead, D.S. (), “A Finite Element Solution of Unsteady Flow in Cascades”, International Journal for Fluid Mechanics, Vol, pp eBook Packages Springer Book Archive; Buy this book on.

This paper presents a new computational technique for transonic flow problem analysis. This method, named Modified FLIC Method, is based on a time-marching technique of FLIC (fluid in cell) method and employs triangular elements conventionally used in finite element method.

Analysis of three-dimensional, transonic, potential flow through a compressor rotor is investigated using the finite element method. The formulation of the equations and the generation of the corresponding finite element grid are presented.

A constant-coefficient solution scheme is applied for the efficient solution of these equations. The finite element method (FEM), or finite element analysis (FEA), is a computational technique used to obtain approximate solutions of boundary value problems in engineering.

Boundary value problems are also called field problems. The field is the domain of interest. The work deals with numerical simulation of transonic flow in turbine cascade including heat transfer between fluid and blades.

The blades are considered either solid, with heat conduction, or with a cavity held at constant temperature above the total temperature of the fluid. The surface of blades is hydraulically smooth or rough. The mathematical model is based on Favre averaged Navier. An analysis and design method is developed for subsonic and transonic propellers.

Finite element techniques are used to discretize the full potential equation on a three-dimensional domain and the Newton-Raphson iteration method is used to solve the nonlinear equations. About this book. In recent years there have been significant developments in the development of stable and accurate finite element procedures for the numerical approximation of a wide range of fluid mechanics problems.

this valuable reference resource details the fundamentals of stabilised finite element methods for the analysis of steady. In this work is presented a finite volume full 3-D Navier-Stokes solver suitable for turbulent turbomachinery computations. The code is applied to the analysis of the secondary flow patterns in a transonic turbine cascade at three different isentropic outlet Mach numbers; namely, Finite Element Analysis P.

Seshu ˘ ˇ No part of this book may be reproduced in any form, by mimeograph or any other means, without permission in writing from the publisher. ISBN The export rights of this book are vested solely with the publisher. Tenth Printing January, This technique can be applied to transonic flows with any complicated boundary shapes.

Three problems were solved in this paper, the first was a supersonic flow around a circular cylinder, the second was a transonic flow between tubrine blade cascades and the last was an unsteady flow in. Very often books published on Computational Fluid Dynamics using the Finite Element Method give very little or no significance to thermal or heat transfer problems.

From the research point of view, it is important to explain the handling of various types of heat transfer problems with different types of complex boundary conditions. Finite element analysis of transonic flows in cascades: importance of computational grids in improving accuracy and convergence / By Akin.

Ecer, Hasan U. Akay, IUPUI (Campus), United States. Finite element method is employed in the solution of full-potential equation for analyzing steady, transonic flows through a series of highly staggered cascades. Convergence characteristics and efficiency of the developed numerical procedure are discussed.

Accuracy of the mathematical model is investigated in terms of the employed computational. The structural analysis uses the modal approach and a 3D finite element model of a blade.

The proposed algorithm allows for the calculation of turbine stages with an arbitrary pitch ratio of stator and rotor blades, taking into account unsteady-load induced blade oscillations. W.H. Mason, Configuration Aerodynamics 3/10/06 flow code known as FLO These were the first truly accurate and useful transonic airfoil analysis codes.

Holst has published a survey describing current full potential methods The next logical development was to add viscous effects to the inviscid calculations, and to. Finite element analysis of transonic flows in cascades: importance of computational grids in improving accuracy and convergence / (Washington, D.C.: National Aeronautics and Space Administration, Scientific and Technical Information Branch ; [Springfield, Va.

Try the new Google Books. Get print book. No eBook available. ; Barnes& Prentice-Hall, - Finite element method - pages. 0 Reviews.

From inside the book. What people are saying - Write a review. We haven't found any reviews in the usual places. Contents. COMPRESSIBLE FLOW. WISCOUS FLOWS. Abstract The prediction of the behaviour and the ultimate load for compressively stiffened aircraft shell structures is a very important non-linear analysis problem for engineers.

Herein, finite element analysis and experimental tests are carried out for the buckling of aircraft stiffened fuselage panels. DOI link for Finite Element Analysis. Finite Element Analysis book.

Finite Element Analysis. DOI link for Finite Element Analysis. Finite Element Analysis book. By M Moatamedi, Hassan A. Khawaja. Edition 1st Edition. First Published eBook Published 20 July Pub. location Boca Raton.

Transonic Flow Calculations Using Triangular Finite Elements Richard B. Pelz* and Antony Jamesonf Princeton University, Princeton, New Jersey This paper describes a technique for finding the numerical solution of the full potential equation for steady transonic flow about airfoils. Transonic flow inside the VKI-1 turbine cascade.

The flow inside the cascade was simulated on an unstructured triangular grid with 10' elements using Roe's upwind scheme.

The pictures show a view of two grids joined at the periodic boundaries, as well as Mach contours overlaid by streamlines. Click to enlarge.

Subsonic flow past multi. The time-dependent finite-element analysis topic is addressed through the problem of unsteady stator/rotor flow interaction within a turbomachinery stage.

Finally, the concept of 'virtually-deformable finite elements', as it relates to the problem of fluid-induced vibration, is explained in detail with many practical applications.

An improved throughflow method to treat transonic viscous flows with shocks, using a finite-volume time-marching solver, is presented. Effects due to deviation, secondary losses, endwall skin friction and spanwise mixing are modelled.

Modern aeronautic fans are characterised by a transonic flow regime near the blade tip. Transonic cascades enable higher pressure ratios by a complex system of shockwaves arising across the blade passage, which has to be correctly reproduced in order to predict the performance and the operative range.

In this paper, we present an accurate two-dimensional numerical modelling of the ARL-SL This book is an adventure into the computer analysis of three dimensional composite structures using the finite element method (FEM). It is designed for Universities, for advanced undergraduates, for graduates, for researchers, and for practising engineers in industry.

The text advances gradually. Indiana University-Purdue University at Indianapolis master plan for development, (Book) Creating community, supporting learning: essays on the development and assessment of first year learning communities at IUPUI (Book). Akay, H.U.

and Ecer, A., Finite-element analysis of transonic flows in highly staggered cascades. AIAA J. v20 i3. Google Scholar [37]. Holst, T.L., Implicit algorithm for the conservative transonic full-potential equation using an arbitrary mesh.

AIAA J. v17 i Google Scholar [38]. Fransson TH, Verdon JM. Purchase Finite Element Techniques in Groundwater Flow Studies, Volume 61 - 1st Edition.

Print Book & E-Book. ISBN  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 s: 1.

The aim of this article is a qualitative analysis of two modern finite volume (FVM) schemes. First one is the so called Modified Causon's scheme, which is based on the classical MacCormack FVM scheme in total variation diminishing (TVD) form, but is simplified in such a way that the demands on computational power are much smaller without loss of accuracy.

the finite element analysis of high-speed compressible flows (Part I) and aerodynamic shape optimization (Part II). The first part of this study aims at the development of a new stabilization formulation based on the Finite Increment Calculus (FIC) scheme for the Euler and Navier-Stokes equations in the context of the Galerkin finite element method.

Finite element analysis has been widely applied in mechanical, civil, and biomedical designs. This book aims to provide the readers comprehensive views of various material models with practical examples, which would help readers understand various materials, and build appropriate material models in the finite element analysis.Finite element equations are solved by Newton-Raphson technique with relaxation, using frontal solver.

Periodic boundary condition is specified on the periodic lines of the cascade, and asymptotic boundary condition is specified at the exit.

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