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Incompressible fiscous flow at viscous velocities in interaction with a vibrating profile NACA 0012
Honzátko, R. ; Horáček, Jaromír ; Kozel, Karel
The work presents numerical solution of the interaction of 2D incompressible viscous flow and a freely vibrating profile NACA 0012 with large amplitudes. The upstream flow velocities are consider in the range 5-40 m/s. The profile has two degrees of freedom. It can rotate around an elastic axis and oscillate in the vertical direction. Its motion is described by two nonlinear ordinary differential equations. Fourth-order Runge-Kutta method is used to solve these equations numerically. The incompressible Navier-Stokes equations represent the mathematical model of the laminar viscous flow. Numerical schemes of the FVM are applied on a structured Quadrilateral C-mesh. The method of artificial compressibility and dual-time stepping method is employed for numerical simulations. Deformations of the computational domain are treated using the ALE method. Numerical simulations of the profile motion are performed for the case solved earlier by the FE method, and the results are in good agreement.
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Dual-time stepping method applied to a numerical solution of unsteady incompressible flow with a vibrating profile
Honzátko, R. ; Horáček, Jaromír ; Kozel, K.
The paper presents numerical solution of two-dimensional incompressible flow in the interaction with a vibrating profile. The profile has two degrees of freedom. Mathematical model is represented either by the Euler equations in the case of inviscid flow or the Navier-Stokes equations in the case of viscous flow. Finite volume method is used as a discretization method. The dual-time stepping method is applied to unsteady simulations. This method provides a possibility to develop a time-accurate time-marching scheme for unsteady incompressible flows. Computational domain deformation due to the profile motion are treated using the Arbitrary Lagrangian-Eulerian method (ALE). Numerical schemes used for unsteady flow calculations are implemented in a form satisfying the geometric conservation law (GCL).
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Numerické simulace interakce neviskozního a viskozního proudění nestlačitelné tekutiny s vibrujícím profilem
Honzátko, R. ; Horáček, Jaromír ; Kozel, Karel
The work deals with a numerical solution of the interaction of 2D incompressible flows and a freely vibrating profile with large amplitudes. The profile can oscillate around an elastic axis and in the vertical direction. The motion of the profile is described by two nonlinear ordinary differential equations solved numerically using four-order Runge-Kutta method. The Euler or Navier-Stokes equations represent the inviscid or viscous flows. Numerical schemes of the finite volume method are applied on a structured quadrilateral C-mesh. The method of artificial compressibility and dual-time stepping method are employed for numerical solution. Deformations of the computational domain due to the profile motion are treated using the ALE method.
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Numerické řešení proudění kolem profilu vibrujícího s dvěma stupni volnosti
Honzátko, R. ; Horáček, Jaromír ; Kozel, K.
The work deals with a numerical solution of two-dimensional inviscid incompressible flow over a profile NACA 0012 with two degrees of freedom. the profile can rotate around an elastic axis and oscillate in the vertical direction. The finite volume method in a form of a cell-centered scheme at qaudrilateral C-mesh is considered. The mathematical model of the fluid flow is represented by a modified system of unsteady Euler equations. The motion of the profile is described by a system of two ordinary differential equations. The numerical simulation of flow induced vibrations of the profile consists in a couling of the two systems of equations. An arbitrary Lagrangian-Eulerian method is employed to solve unsteady flows on a moving grid.
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Proudění kolem profilu v kanále s dynamickými účinky
Fürst, J. ; Honzátko, R. ; Horáček, Jaromír ; Kozel, K.
The work deals with a numerical solution of steady and unsteady 2D inviscid incompressible flow over the profile NACA 0012 in a channel. The flow is described by the system of Euler equations. Cell-centered finite-volume scheme at quadrilateral C-mesh is used. Steady state solutions and also unsteady flows caused by the prescribed oscillations of the profile were computed. The method of artificial compressibility and the time dependent method are used for computation of the steady state solution.
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Steady and unsteady flow over a profile in a channel
Honzátko, R. ; Horáček, Jaromír ; Kozel, K.
The work deals with numerical solution of 2D inviscid incompressible flow over the profile NACA 0012 in a channel. The finite volume method in a form of cell-centered scheme at quadrilateral mesh is used. Governing system of equations is the system of Euler equations. Numerical results achieved at H-mesh and C-mesh are compared. The work presents computation of the steady states of the flow and also unsteady flow influenced by the prescribed oscillating behaviour of the profile.
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Numerické řešení proudění kolem vibrujícího leteckého profilu
Honzátko, R. ; Horáček, Jaromír ; Kozel, K.
The work deals with numerical solution of 2D inviscid and viscous incompressible flow over the airfoil NACA 0012 in a channel. The finite volume method with cell-centered schemes at quadrilateral C-mesh is used. Governing equations are the Euler equations in the case of inviscid flow and Navier-Stokes equations in the case of viscous flow. The small disturbance theory applied to a numerical solution of unsteady flow is mentioned and the brief introduction is also given to the ALE method.
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