Method of Successive Approximations for a Fluid Structure Interaction Problem

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DOI: 10.4236/am.2014.515223    2,883 Downloads   3,259 Views   Citations

In this paper, we present a method for solving coupled problem. This method is mainly based on the successive approximations method. The external force acting on the structure is replaced by λ = p (x1, H + u (x1, λ)). Then we have a nonlinear equation of unknown λ to solve by successive approximations method. By this method, we obtain easily the analytic expression of the displacement. In addition, good results are obtained with only a few iterations.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Sow, A. and Mbaye, I. (2014) Method of Successive Approximations for a Fluid Structure Interaction Problem. Applied Mathematics, 5, 2299-2304. doi: 10.4236/am.2014.515223.

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