A unified mathematical framework and an adaptive numerical method for fluid–structure interaction with rigid, deforming, and elastic bodies

2013/05/13 by Amneet Pal Singh Bhalla, Rahul Bale, Boyce E. Griffith +1 · 177 citations
Engineering · Mathematics · Physics and Astronomy · #Adaptive mesh refinement #Biomimetic flight and propulsion mechanisms #Boundary (topology) #Cartesian coordinate system #Classical mechanics #Computational science #Computer science #Discretization #Finite element method #Fluid dynamics #Fluid mechanics #Fluid–structure interaction #Geometry #Grid #Immersed boundary method #Kinematics #Lattice Boltzmann Simulation Studies #Mathematical analysis #Mathematics #Mechanics #Micro and Nano Robotics #Physics #Regular grid #Rigid body

paper · doi:10.1016/j.jcp.2013.04.033

published in Journal of Computational Physics 250, 446-476 (Elsevier BV)

openalex publication_date 2013/05/13 · crossref created 2013/05/13 · crossref issued 2013/10/01 · crossref published 2013/10/01 · crossref published-print 2013/10/01 · crossref deposited 2018/10/15 · openalex created_date 2025/10/10 · crossref indexed 2026/08/06 · openalex updated_date 2026/08/06

Citations

• A Flexible Inner-Outer Preconditioned GMRES Algorithm
• An Adaptive Version of the Immersed Boundary Method
• Numerical solution of the Navier-Stokes equations

Cited by

• Fluid–structure interaction of multi-body systems: Methodology and applications
• Immersed boundary method [wikipedia]