Calculation of flutter derivatives and speed for 2-\(D\) incompressible flow by the finite-element method
type: Item
instance of: scholarly article
title: Calculation of flutter derivatives and speed for 2-\(D\) incompressible flow by the finite-element method
zbMATH Open document ID: 0817.76031
DOI: 10.1016/0307-904X(94)90139-2
author: Jun Shi
author: D. Hitchings
published in: Applied Mathematical Modelling
publication date: 1995-07-23T00:00:00Z
review text: A general linear superposition theory for finite-element formulation is proposed for airfoil pitching, heaving, and control surface oscillations. It divides the solution into time-independent and first-harmonic subsolutions. The crucial part of the formulation is the finite-element treatment of the wake behind the trailing edge, which is modelled through velocity potential difference rather than through the conventional tangential velocity difference. The proper numerical form of the unsteady Kutta condition is discussed in detail. To avoid any numerical blockage effect, a parametric study of finite-element mesh sizes is also conducted. Finally, the unsteady aerodynamic forces obtained are employed to calculate flutter speed with a new iteration scheme.
Mathematics Subject Classification ID: 76M10
Mathematics Subject Classification ID: 76B10
zbMATH DE Number: 722528
zbMATH Keywords: linear superposition theory
zbMATH Keywords: airfoil pitching
zbMATH Keywords: heaving
zbMATH Keywords: wake
zbMATH Keywords: velocity potential difference
zbMATH Keywords: unsteady Kutta condition
zbMATH Keywords: parametric study
zbMATH Keywords: iteration scheme
MaRDI profile type: Publication
cites work: Q3657590
cites work: Q5843099
cites work: Q5340064
cites work: THE OSCILLATION OF A THICK AEROFOIL IN AN INCOMPRESSIBLE FLOW
cites work: ON THE UNSTEADY KUTTA CONDITION
cites work: Q3730204
cites work: Spurious reflection of elastic waves due to gradually changing finite element size
cites work: Spurious reflection of elastic waves in nonuniform meshes of constant and linear strain unite elements
cites work: Q3229170
cites work: Vorticity and Kutta Condition for Unsteady Multienergy Flows
Wikidata QID: Q127395552
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description: scientific article; zbMATH DE number 722528