Computational Mechanics of Fluid-Structure Interaction by Rajeev Kumar Jaiman & Vaibhav Joshi

Author:Rajeev Kumar Jaiman & Vaibhav Joshi
Language: eng
Format: epub
ISBN: 9789811653551
Publisher: Springer Singapore

This interface force correction can also be interpreted as a quasi-Newton update

(7.57)

where , and is an matrix. There are three possible alternatives for the matrix , namely, scalar, diagonal and full matrix. We consider for the iterative quasi-Newton update, which can be considered as a minimal residual iteration method when for some , where denotes the standard inner product. Thus, we have

(7.58)

(7.59)

It can be observed that the choice of minimizes and this type of iterative procedure is similar to the minimal residual method [31, 32].

The algorithm for the NIFC scheme, shown in Fig. 7.10 can be summarized as follows: In a typical nonlinear iteration , 1.

Solve structural equation using the known traction at interface to obtain the structural velocity

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