An iterative matrix-free method in implicit immersed boundary/continuum methods

The objective of this paper is to present an iterative solution strategy for implicit immersed boundary/continuum methods. An overview of the newly proposed immersed continuum method in conjunction with the traditional immersed boundary method will also be presented. As a key ingredient of the fully implicit time integration, a matrix-free combination of Newton-Raphson iteration and GMRES iterative linear solver is proposed. (C) 2007 Elsevier Ltd. All rights reserved.