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

• Ano de defesa: 2020
• Autor(a) principal: Santos, Leandro Marques dos
• 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
• Palavras-chave em Português: Mechanical engineering; Blood flow - Measurement; Computational fluid dynamics; Finite element method; Engenharia mecânica; Fluxo sanguíneo - Medição; Fluidodinâmica computacional; Método dos elementos finitos; ENGENHARIAS::ENGENHARIA MECANICA::FENOMENOS DE TRANSPORTE
• Link de acesso: http://www.bdtd.uerj.br/handle/1/17237

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.