A Fluid—Structure Interaction Model for Heart Valves with a Single Degree of Freedom
As a preparatory study for the analysis of the opening and closing behavior of aortic valve prostheses in a viscous fluid flow, a rigid two—dimensional valve, which can rotate around its point of attachment is analyzed. The valve motion and the fluid velocity field are computed. The equations of motion for fluid and structure are iteratively coupled. For the fluid the full unsteady 2D incompressible Navier-Stokes equations are solved. The valve is assumed to be rigid and its inertia is neglected. The equilibrium position of the valve at a point of time is found iteratively, using the Van Wijngaarden—Dekker—Brent method for the root—finding of a nonlinear equation. The numerical method is validated by means of measurement of the interaction forces and the valve displacement in an experimental model. A comparison of numerical and experimental results show that a proper method is developed.
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