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In this paper, we propose some efficient time marching algorithm for the developed FSI sytem which uses the predicted value of velocity/pressure fields for next time step. The first strategy is using the simple extrapolation of previous time step’s value. The other strategy is using semi-Lagrangian method for evaluating the predictor. The former strategy is simple and less computational cost, but it provide only small amount of improvement for the convegency of each time step. The latter strategy is relatively complex especiall  y at the first time step, but this approach provide big amount of improvement. We compare these methods by some numerical examples, then estimate the efficiency of these methods.

computation, numerical methods, algorithm