A partitioned model for fluid–structure interaction problems using hexahedral finite elements with one‐point quadrature

A partitioned numerical model for fluid–structure interaction analysis of incompressible flows and structures with geometrically non‐linear behavior is presented in this work. The flow analysis is performed considering the well‐known Navier–Stokes equations for Newtonian fluids and the continuity equation, obtained from the pseudo‐compressibility hypothesis. An explicit two‐step Taylor‐Galerkin scheme is employed in the time discretization procedure of the system of governing equations, which is expressed in terms of an arbitrary Lagrangean‐Eulerian description. The structural subsystem is analyzed using a geometrically non‐linear elastic model and the respective equation of motion is discretized in the time domain employing the Generalized‐α scheme. Fluid–structure coupling is taken into account regarding a new energy‐conserving partitioned scheme with non‐linear effects, which is accomplished by enforcing equilibrium and kinematical compatibility conditions at the solid–fluid interface. Non‐matching meshes and subcycling are also considered in the present model. The finite element method is employed for spatial discretizations using eight‐node hexahedral elements with one‐point integration in both fields. Some numerical examples are simulated in order to demonstrate the applicability of the proposed formulation.