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]
Summary
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.
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