An ALE-FE method for blood flow dynamics in coronary arteries using the vorticity-streamfunction formulation

Detalhes bibliográficos
Ano de defesa: 2020
Autor(a) principal: Santos, Leandro Marques dos
Orientador(a): Não Informado pela instituição
Banca de defesa: Não Informado pela instituição
Tipo de documento: Dissertação
Tipo de acesso: Acesso aberto
Idioma: eng
Instituição de defesa: Universidade do Estado do Rio de Janeiro
Centro de Tecnologia e Ciências::Faculdade de Engenharia
Brasil
UERJ
Programa de Pós-Graduação em Engenharia Mecânica
Programa de Pós-Graduação: Não Informado pela instituição
Departamento: Não Informado pela instituição
País: Não Informado pela instituição
Palavras-chave em Português:
Link de acesso: http://www.bdtd.uerj.br/handle/1/17237
Resumo: The present work aims at developing a computational framework to simulate blood flow in coronary artery with drug-eluting stent placed for several Schmidt number using the Vorticity-Streamfunction Formulation in an Arbitrary Lagrangian-Eulerian (ALE) approach. The blood was modeled as single-phase, incompressible and newtonian fluid. The Navier-Stokes equation is shown according to the vorticity-streamfunction 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 governing equations in spatial domain and the semi-Lagrangian method was used to discretized the material derivative using first order backward difference scheme. Moreover, the mesh update procedure performs nodes regularisation allowing to simulate moving boundary problems and the linear systems was solved using Conjugate Gradient Iterative Method. Therefore, the new formulation proposed in this work is suitable to simulate flows in coronary arteries with good accuracy.