Abstract

This paper deals with a numerical solution of the interaction of two-dimensional (2-D) incompressible viscous flow and a vibrating profile NACA 0012 with large amplitudes. The laminar flow is described by the Navier-Stokes equations in the arbitrary Lagrangian-Eulerian form. The profile with two degrees of freedom (2-DOF) can rotate around its elastic axis and oscillate in the vertical direction. Its motion is described by a nonlinear system of two ordinary differential equations. Deformations of the computational domain due to the profile motion are treated by the arbitrary Lagrangian-Eulerianmethod. The finite volume method and the finite element method are applied, and the numerical results are compared.

Highlights

  • Coupled problems describing the interactions of fluid flow with an elastic structure are of great importance in many engineering applications [23, 9, 1, 24]

  • The research has focused on numerical modeling of nonlinear coupled problems, because nonlinear phenomena in post-critical states with large vibration amplitudes cannot be captured within linear analysis

  • Flutter boundaries and limit cycle oscillation (LCO) of aeroelastic systems with structural nonlinearities for a 2-DOF airfoil in 2-D incompressible flow was studied by Jones et al [18]

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Summary

Introduction

Coupled problems describing the interactions of fluid flow with an elastic structure are of great importance in many engineering applications [23, 9, 1, 24]. Flutter boundaries and LCO of aeroelastic systems with structural nonlinearities for a 2-DOF airfoil in 2-D incompressible flow was studied by Jones et al [18]. Two well-known numerical methods, the finite volume method (FVM, see [15, 16]) and the finite element method (FEM, see [28]), were employed for a numerical solution of the interaction of 2-D incompressible viscous flow and the elastically supported profile NACA 0012.

Equations of profile motion
Mathematical model of the flow
Numerical scheme
Finite element approximation
Numerical results
Conclusions
Full Text
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