An effective numerical technique for pipe-like domains and its application in computational hemodynamics

• Ano de defesa: 2018
• Autor(a) principal: Mansilla Alvarez, Luis Alonso
• Tipo de documento: Tese
• Tipo de acesso: Acesso aberto
• Idioma: eng
• Instituição de defesa: Laboratório Nacional de Computação Científica; Coordenação de Pós-Graduação e Aperfeiçoamento (COPGA); Brasil; LNCC; Programa de Pós-Graduação em Modelagem Computacional
• Palavras-chave em Português: Hemodinâmica - Simulação por computador; Mecânica dos fluidos; Método dos elementos finitos; Simulações de pacientes específicos; CNPQ::CIENCIAS DA SAUDE::MEDICINA::CLINICA MEDICA::CARDIOLOGIA
• Link de acesso: https://tede.lncc.br/handle/tede/374

In the last decades, the role of the computational hemodynamics in the domain of cardiovascular diseases has become fundamental due the large evidence of the correlation between flow-related quantities (such as velocity, pressure, wall shear stresses among others) and the localization and onset of alterations in the mechanobiology of the arterial wall. These promising capabilities are still strongly limited for massive usage in the daily medical practice due to the trade-off between the quantity/quality of information provided by the current methodologies and their computational costs (in terms of time and physical resources). Classical examples are the cheap one-dimensional models, unable to provide insight about wall shear stresses, and the full 3D models with extensive predictive capabilities but highly prohibitive for massive use due to the large computational cost. In this work, a novel numerical technique is proposed for the discretization of the Navier- Stokes equations. This approach, coined as Transversally Enriched Pipe Element Method (TEPEM), is able to provide hemodinamically relevant information at a fraction of the time of full 3D simulations with standard finite element methods. The capabilities of this methodology are studied and the results confirm the effectiveness in terms of maintaining satisfactory accuracy and of reducing the computational resources and execution time.