2022/01/20 by Gonzalo Arranz, Cayetano Martínez-Muriel, C. Martínez-Muriel +4 · 17 citations
Engineering · Mathematics · Physics and Astronomy · #Aerodynamics #Aerospace engineering #Airfoil #Algorithm #Applied mathematics #Biomimetic flight and propulsion mechanisms #Boundary (topology) #Computer science #Engineering #Finite element method #Flapping #Flow (mathematics) #Fluid dynamics #Fluid–structure interaction #Geometry #Immersed boundary method #Lattice Boltzmann Simulation Studies #Mathematical analysis #Mathematics #Mechanics #Micro and Nano Robotics #Physics #Propulsion #Simple (philosophy) #Structural engineering #Wing #physics.flu-dyn
paper · pdf · doi:10.1016/j.jfluidstructs.2022.103519
published in Journal of Fluids and Structures 110, 103519 (Elsevier BV) · Accepted for publication in Journal of Fluids and Structures
arxiv created 2022/01/20 · openalex publication_date 2022/02/17 · arxiv updated 2022/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We present a method for computing fluid-structure interaction problems for multi-body systems. The fluid flow equations are solved using a fractional-step method with the immersed boundary method proposed by Uhlmann [J. Comput Phys. 209 (2005) 448]. The equations of the rigid bodies are solved using recursive algorithms proposed by Felis [Auton. Robot 41 (2017) 495]. The two systems of equations are weakly coupled so that the resulting method is cost-effective. The accuracy of the method is demonstrated by comparison with two- and three-dimensional cases from the literature: the flapping of a flexible airfoil, the self-propulsion of a plunging flexible plate, and the flapping of a flag in a free stream. As an illustration of the capabilities of the proposed method, two three-dimensional bio-inspired applications are presented: an extension to three dimensions of the plunging flexible plate and a simple model of spider ballooning.