Numerical Simulation for Fluid-Structure Interaction of a Blood Flow With the Aortic Valve Using the Fem Monolithic Formulation

The paper aims to present a numerical simulation for fluid-structure interaction (FSI) of a blood flow over the aortic valve. The finite element discretization is adopted both for fluid and solid domains. The monolithic scheme is used for the strong coupling of fluid and structure to satisfy kinematic and dynamic equilibrium conditions at the interface. The Navier-Stokes equations of an incompressible flow are solved by using the integrated method based on the ALE formula for the moving grid, and the total Lagrangian formulation is used for the non-linear hyper-elastic material of the aortic valve with the Mooney-Rivlin material model adopted as a constitutive equation for the solid domain. The monolithic FEM method is validated by solving a 3D pressure wave problem and the results are compared to the previous solutions. And then, the present method is employed to investigate blood flow through the aortic valve with a complex geometry. The simulation results can be used for predicting the risk of aortic valve diseases…