Blood Flow Numerical Simulation Using ALE-FE Method for Vorticity-Streamfunction Formulation

Abstract

The present work aims at developing a computational framework to simulate blood flow in coronary artery with drug-eluting stent placed using Streamfunction-Vorticity Formulation in a ALE-FE approach with Semi-Lagrangian Scheme. The blood was modeled as single-phase, incompressible and newtonian fluid and the Navier-Stokes equation in an Arbitrary Lagrangian-Eulerian description (ALE) is shown according to the stream-vorticity formulation with species transport equation. The Finite Element Method (FEM) is used to solve the governing equations where the Galerkin formulation was used to discretized the equations in space and the semi-Lagrangian scheme was used to discretized the material derivative using first order backward difference scheme. The linear systems was solved using Conjugate Gradient Method and the preliminary results are shown.