A strongly coupled, embedded-boundary method for fluid–structure interactions of elastically mounted rigid bodies

In the present paper, an embedded-boundary formulation that is applicable to fluid–structure interaction problems is presented. The Navier–Stokes equations for incompressible flow are solved on a Cartesian grid which is not aligned with the boundaries of a body that undergoes large-angle/large-displacement rigid body motions through the fixed grid. A strong-coupling scheme is adopted, where the fluid and the structure are treated as elements of a single dynamical system, and all of the governing equations are integrated simultaneously and interactively in the time domain. A demonstration of the accuracy and efficiency of the method is given for a variety of fluid–structure interaction problems.