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ENCIT 2020
18th Brazilian Congress of Thermal Sciences and Engineering
BLOOD FLOW NUMERICAL SIMULATION USING ALE-FE METHOD FOR VORTICITY-STREAMFUNCTION FORMULATION
Submission Author:
Leandro Marques dos Santos , RJ
Co-Authors:
Leandro Marques dos Santos, Gustavo Rabello dos Anjos, José da Rocha Miranda Pontes
Presenter: Leandro Marques dos Santos
doi://10.26678/ABCM.ENCIT2020.CIT20-0214
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.
Keywords
Stream Function-Vorticity, Finite Element Method, Semi-Lagrangian, drug-eluting stents, arbitrary Lagrangian-Eulerian
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