Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
BLOOD FLOW NUMERICAL SIMULATION USING FE-METHOD FOR 2D-AXISYMMETRIC NAVIER-STOKES EQUATION
Submission Author:
Leandro Marques dos Santos , RJ
Co-Authors:
Leandro Marques dos Santos, Gustavo Rabello dos Anjos
Presenter: Leandro Marques dos Santos
doi://10.26678/ABCM.COBEM2021.COB2021-1527
Abstract
According to the World Health Organization, more people die annually from the cardiovascular disease (CVD) that from any other cause in the world. About 44% of these deaths were due to coronary heart disease (CHD) in the United States. This work aims to develop a FE code for 2D Axisymmetric Navier-Stokes with species transport equation using semi-Lagrangian scheme and to know how occurs the dynamics of blood flow in coronary artery with atherosclerosis and with stents struts placed. The blood was modeled as single-phase, incompressible and newtonian fluid, the diffusion coefficient was considered as constant. Due to coupling between velocity field and pressure field, the different triangular elements was used, where the linear element was used for pressure field and the MINI element was used for velocity field. The equations were discretized in space by Galerkin formulation and in time, the semi-Lagrangian scheme was used to discretized the material derivative using first order backward difference scheme. The dynamics of blood flow and species transport in coronary artery was investigated in a complex geometry, that it was called the Curved Channel with Stent, where the atherosclerosis was modeled using a sinusoidal equation to model 40% of channel obstruction. The Reynolds number was calculated using the blood parameters and the Schmidt number was simulated for several cases.
Keywords
Navier-Stokes, Finite Element Method, Semi-Lagrangian Method, drug-eluting stents, Axisymmetric flows
