Fluid-Structure Interaction Simulation of an Artificial Heart Valve and Unsteady Blood Flow

EasyChair Preprint 9458

Abstract

The present work studies the interaction of incompressible fluid flow with an artificial heart valve using fluid-structure interaction (FSI) simulation. The finite element method (FEM) is employed both for fluid and solid domains. The strong coupling scheme is used for the coupling of fluid and structure to satisfy the kinematic and dynamic equilibrium conditions. The Navier-Stokes equations of an incompressible flow are solved using the integrated method based on the unstructured grid by Arbitrary Lagrangian-Eulerian (ALE) framework. The Lagrangian formulation is used for the non-linear behavior of the heart valve due to large deformation. The smoothing technique based on the harmonic extension is employed to improve the mesh quality on the fluid domain when the valve deformation is large. The present method investigates fluid flow through the heart valve in 3D geometries. The present method solves the two challenges of FSI simulation: The add-mass problem arising from the similarity of the density of fluid and solid and the large deformation of the solid wall. The fluid characteristic, such as the velocity and pressure in the valve, are evaluated and analyzed in detail. The simulation results can be used helpfully to predict and treat cardiovascular diseases.

Keyphrases: ALE, FEM, Incompressible fluid flow, artificial heart valve, fluid-structure interaction

@booklet{EasyChair:9458,
  author    = {Manh Hieu Vu and Manh Hung Nguyen and Van Chien Vu and Manh Duc Nguyen and Sang Truong Ha},
  title     = {Fluid-Structure Interaction Simulation of an Artificial Heart Valve and Unsteady Blood Flow},
  howpublished = {EasyChair Preprint 9458},
  year      = {EasyChair, 2022}}