On Monolithic Approaches To Fluid-structure
Interactions
Author(s)
S. ´Etienne, D. Pelletier, D. Tremblay & A. Garon
Abstract
We present several aspects of a general monolithic formulation for the steady-state
interaction of a viscous incompressible flow with an elastic structure undergoing
large displacements. The problem is solved in a direct fully-coupled manner by
a Newton–Raphson adaptive finite element method. A pseudo-solid formulation
is used to manage the deformations of the fluid domain. The formulation uses
fluid velocity, pressure, and pseudo-solid displacements as unknowns in the flow
domain and displacements in the structural components. The adaptive formulation
is verified on a problem with a closed form solution. Its capabilities are then
demonstrated on different fluid-structure configurations ranging from aeronautical
to biomedical fields.
Keywords: monolithic, finite-elements, adaptivity, pseudo-solid, fluid, structure.
1 Introduction
In many instances, interaction between fluids and solids is achieved through weak
or loose coupling of specialized softwares. This is very cost-effective because it
requires little changes to analysis modules and takes advantage of expertise accumulated
in each discipline. Hydrodynamic loads obtained by CFD are transferred
to the structure model to predict solid displacements which are then transferred
back to the fluidmodule to reflect changes in the geometry. This process is repeated
until convergence.However weak coupling does not always converge to a solution.
For example, if the fluid added mass is much larger than that of the structure, a
weak coupling treatment will result in failure of the solution procedure.
In decoupled approaches equilibrium of interface forces is approximately
satisfied. This error may be amplified in sensitivity analysis or gradient-based
optimization. To avoid such difficulties we consider monolithic formulations of
Keywords
monolithic, finite-elements, adaptivity, pseudo-solid, fluid, structure.
Related Book
Other papers in this volume
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