Author(s)

E. H. van Brummelen

Abstract

Convergence of successive approximation for a free-boundary problem in fluid-structure interaction E. H. van Brummelen Del$ University of Technology, Faculty of Aerospace Engineering, PO Box 5058,2600 GB Delf, The Netherlands Abstract Fluid-structure-interaction problems have prominence in aerospace engineering and many other scientific and engineering disciplines. An essential property of these problems is that the interface between the fluid and the structure constitutes a free boundary. Iterative solution methods for free-boundary problems are typically based on a partitioned solution procedure: (1) the boundary-value problem(s) is (are) solved with a subset of the free-boundary conditions imposed, and (2) the free boundary is adjusted to relax the remaining free-boundary condition. This iterative procedure is referred to as successive approximation, subiteration or Picard iteration. In the present work we investigate the convergence properties of successive approximation for a model fluid-

Keywords