Numerical Simulations of Flow Induced Vibrations of a Profile

Abstract

The work deals with a numerical solution of the interaction of two-dimensional inviscid incompressible flow and a vibrating profile with two degrees of freedom. The profile can oscillate around an elastic axis and in the vertical direction. The mathematical model is represented by the system of incompressible unsteady Euler equations. Numerical schemes in the form of finite volume method are applied on a structured quadrilateral C-mesh. Two strategies, an artificial compressibility approach and a dual-time stepping method, are employed for numerical solution of governing equations. The motion of the profile is described by a system of two linear ordinary differential equations that are transformed to the system of first order ordinary differential equations and solved numerically using multistage four-order Runge-Kutta method. Deformations of the computational domain due to the profile motion are treated using the Arbitrary Lagrangian-Eulerian method. Numerical schemes used satisfy the geometric conservation law. Numerical simulations of flow-induced vibrations are performed for different upstream flow velocities past the profile NACA 0012 and the results are presented for translation and rotation of the profile in time domain. Moreover, pressure and velocity fields around the profile are shown at several time levels. The two numerical strategies are compared respectively.