An iterative matrix-free method in implicit immersed boundary/continuum methods |
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Affiliation: | Department of Mathematical Sciences, New Jersey Institute of Technology, Newark, NJ 07102, United States;Massachusetts Institute of Technology, Cambridge, MA 02139, United States |
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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. |
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