Numerical analysis of fluid-structure interaction with overlapping meshes

• Grant number: 16/25520-5
• Support Opportunities: Scholarships abroad - Research
• Start date: August 16, 2017
• End date: August 15, 2018
• Field of knowledge: Engineering - Civil Engineering - Structural Engineering
• Principal Investigator: Rodolfo André Kuche Sanches
• Grantee: Rodolfo André Kuche Sanches
• Host Investigator: Tayfun Tezduyar
• Host Institution: Escola de Engenharia de São Carlos (EESC). Universidade de São Paulo (USP). São Carlos , SP, Brazil
• Institution abroad: Rice University, United States

Abstract

Numerical analysis of fluid-structure interaction is a very challenging field. Fluid flow is better represented in the Eulerian mathematical description, resulting in a fixed mesh, while solid dynamics is much better represented in the Lagrangian description. In order to couple these two media, there are basically two approaches: The fitted mesh methods, in which an arbitrary Lagrangian Eulerian description or similar technique is employed in order to allow fluid mesh to be deformed and fitted to the deformed structure, and the unfitted mesh methods, in which immersed boundary approaches are used to allow the structure to move inside a fixed fluid mesh. The fitted mesh techniques are more suitable when the structure presents small scale of displacements, as it will require re-meshing if the changes on structural configuration are too big, while the unfitted mesh methods are the best choice for cases with a large scale of structural displacements. Both, fitted or unfitted meshes techniques are limited. The fitted is limited by the scale of displacements, and the unfitted may present numerical problems due to the immersed boundary conditions imposition and present difficulties regarding local refinement around the solid and to deal with structural self-contact. In order to overcome such problems, we propose to combine a large fixed fluid mesh, which is used to discretize the entire fluid domain and is unfitted to the structure, to a small and finer deforming fluid mesh fitted to the structure. The deforming mesh is coupled to the fixed one by an overlapping mesh multiscale technique based on Arlequin method, so that the fine mesh moves dynamically inside the fixed mesh.

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

DOSSA FERNANDES, JEFERSON WILIAN; CODA, HUMBERTO BREVES; KUCHE SANCHES, RODOLFO ANDRE. ALE incompressible fluid-shell coupling based on a higher-order auxiliary mesh and positional shell finite element. COMPUTATIONAL MECHANICS, v. 63, n. 3, p. 555-569, MAR 2019. (16/25520-5)

DOSSA FERNANDES, JEFERSON WILIAN; BARBARULO, ANDREA; BEN DHIA, HACHMI; KUCHE SANCHES, RODOLFO ANDRE. A residual-based stabilized finite element formulation for incompressible flow problems in the Arlequin framework. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 370, p. 30-pg., 2020-10-01. (16/25520-5)

ROSA, R. J. R.; CODA, H. B.; SANCHES, R. A. K.. Blended isogeometric-finite element analysis for large displacements linear elastic fracture mechanics. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, v. 392, p. 28-pg., 2022-03-15. (16/25520-5, 21/06104-9)