Autor(es)

Moreira, Darcy H. F. R. ; Avancini, Giovane ; Sanches, Rodolfo A. K.

• Tipo de documento: Artigo Científico
• Fonte: COMPUTATIONAL PARTICLE MECHANICS; v. N/A, p. 25-pg., 2025-10-11.

Resumo

The simulation of fluid-structure interaction problems involving structural contact has a wide range of applications in engineering as well as in biomechanical contexts, such as the actuation of heart valves. However, simulating these problems presents significant challenges, particularly due to the occurrence of topological changes in the fluid domain, dynamic solid-to-solid contact, and the complexities of fluid-structure coupling. This paper presents a monolithic numerical framework for simulating fluid-structure interaction problems involving structural contact. The method combines a particle-position-based formulation of the particle finite element method (PFEM) for fluid dynamics with a position-based total Lagrangian formulation for nonlinear solid mechanics, and employs a node-to-segment algorithm with Lagrange multipliers to handle structural contact. The PFEM effectively addresses topological changes in the fluid domain by integrating remeshing techniques with the particle concept, while the node-to-segment algorithm proves to be a reliable method for managing structural contact, even in scenarios involving complex geometries. The particle-position-based approach uses nodal positions as primary variables, making the monolithic coupling with the total Lagrangian position-based formulation for the solid straightforward and efficient, resulting in a framework that is particularly effective for strongly coupled problems. The proposed approach is tested through two-dimensional numerical examples, demonstrating its robustness and potential for biomedical and engineering applications. (AU)

• Processo FAPESP: 21/07516-9 - Análise numérica tridimensional de interação fluido-estrutura com contato estrutural
• Beneficiário: Darcy Hannah Falcão Rangel Moreira
• Modalidade de apoio: Bolsas no Brasil - Doutorado
• Processo FAPESP: 23/01688-8 - Implementação da formulação espaço-tempo para escoamentos incompressíveis utilizando o método dos elementos finitos e partícula
• Beneficiário: Darcy Hannah Falcão Rangel Moreira
• Modalidade de apoio: Bolsas no Exterior - Estágio de Pesquisa - Doutorado
• Processo FAPESP: 24/05554-9 - Desenvolvimento de ferramentas computacionais alternativas para problemas avançados de interação fluido-estrutura
• Beneficiário: Rodolfo André Kuche Sanches
• Modalidade de apoio: Auxílio à Pesquisa - Regular