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Analysis of fluid–structure interaction by an arbitrary Lagrangian–Eulerian finite element formulation
Author(s) -
Mendes P.A.,
Branco F.A.
Publication year - 1999
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/(sici)1097-0363(19990815)30:7<897::aid-fld871>3.0.co;2-u
Subject(s) - strouhal number , flutter , aerodynamics , finite element method , fluid–structure interaction , mathematics , cylinder , aerodynamic force , mechanics , vibration , geometry , physics , classical mechanics , turbulence , reynolds number , acoustics , thermodynamics
Abstract In this paper, the interaction fluid–rigid body is analysed by a finite element procedure that incorporates the arbitrary Lagrangian–Eulerian (ALE) method into a well‐known two‐step projection scheme. The flow is assumed to be two‐dimensional, incompressible and viscous, with no turbulence models being included. The flow past a circular cylinder at ℛℯ=200 is first analysed, for fixed and oscillating conditions. The dependence of lock‐in upon the shift between the mechanical and the Strouhal frequencies, for a given amplitude of forced vibration, is illustrated. The aerodynamic forces and the wake geometry are compared for locked‐in conditions with different driving frequencies. The behaviour of a rectangular cylinder ( B / D =4) at ℛℯ=500 (based on height D ) is also analysed. The flutter derivatives associated with aerodynamic damping ( H 1 * and A 2 * in Scanlan's notation) are evaluated by the free oscillation method for several values of reduced flow speed above the Strouhal one (namely for 3≤ U *≤8). Torsional flutter was attained at U *≥5, with all the other situations showing stable characteristics. Copyright © 1999 John Wiley & Sons, Ltd.