Heil, M. (2004) An efficient solver for the fully-coupled solution of
large-displacement fluid-structure interaction problems.
Computer Methods in Applied Mechanics and Engineering 193 1-23.
This paper is concerned with the fully-coupled
(`monolithic') solution of large-displacement fluid-structure
interaction problems by Newton's method. We show that
block-triangular approximations of the Jacobian matrix, obtained by
neglecting selected fluid-structure interaction blocks,
provide good preconditioners for the
solution of the linear systems with GMRES. We present an efficient
approximate implementation of the preconditioners, based on a
Schur complement approximation for the Navier-Stokes block
and the use of multigrid approximations for the solution of the
computationally most expensive operations. The performance of the
the preconditioners is examined in representative steady and
unsteady simulations which show that the GMRES iteration counts only display a
mild dependence on the Reynolds number and the mesh size. The final
part of the paper demonstrates the importance of consistent stabilisation for
the accurate simulation of fluid-structure interaction problems.
Page last modified: February 05, 2004
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