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

Authors:
X. Sheldon Wang
Affiliations:
Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, United States
Venue:
Computers and Structures
Year:
2007

Citing 12
Cited 7

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Abstract

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.