Displacement-velocity correction schemes for incompressible fluid–structure interaction

Displacement-velocity correction schemes for incompressible fluid-structure interaction

We propose a new class of time-marching schemes for the explicit coupling of an incompressible fluid and an elastic solid (not necessarily thin). We state a general energy-based stability result and illustrate the accuracy of the different variants in a numerical benchmark. To cite this article: A. Name1, A. Name2, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

Incremental displacement-correction schemes for incompressible fluid-structure interaction

In this paper we introduce a class of incremental displacement-correction schemes for the explicit coupling of a thin-structure with an incompressible fluid. These methods enforce a specific Robin-Neumann explicit treatment of the interface coupling. We provide a general stability and convergence analysis that covers both the incremental and the non-incremental variants. Their stability propert...

Velocity-Correction Projection Methods For Incompressible Flows

Velocity-Correction Projection Methods for Incompressible Flows

We introduce and study a new class of projection methods—namely, the velocitycorrection methods in standard form and in rotational form—for solving the unsteady incompressible Navier–Stokes equations. We show that the rotational form provides improved error estimates in terms of the H1-norm for the velocity and of the L2-norm for the pressure. We also show that the class of fractional-step meth...

Velocity-correction schemes for the incompressible Navier-Stokes equations in general coordinate systems

Article history: Received 30 July 2015 Received in revised form 11 December 2015 Accepted 11 April 2016 Available online 14 April 2016