Violent Fluid-Structure Interaction simulations using a coupled SPH-FEM method(11)

direction. Then, the vertical velocity of the fluid decreases and the beam keeps bending under the

weight of water leaning on it. When part of the jet is released from the beam to go to impact the lower and the right walls of the tank, one can observe the back motion of the elastic structure, throwing away water that was remaining on its left part. Finally, the beam vibrates until finding back its initial state. One can note the large complexity of the flow and its free surface, underlining the assets of the SPH method to simulate such violent fluid-structure interactions.

Figure 9. Evolution of the fluid-structure interaction between a water column and an elastic plate.

5. Conclusion

The present paper presents a fluid-structure coupling between an SPH method for the fluid and a FEM for the structure. This coupling is very efficient when dealing with fluid-structure interaction problems in presence of a free-surface, and of rather easy implementation. The ability of SPH to fragment and reconnect interfaces presents a great interest when modelling impacts of solids on fluids, and vice versa. As exhibited in the example of validation test presented, a wedge water entry, good agreement is found with the analytical solution. SPH has no difficulty to model water jets and no contact algorithm is needed to avoid material interpenetration. The capabilities of this coupling for simulating violent fluid-structure interactions are further illustrated on a demonstrative case where the flow and the structure display very large deformation.

Further work will be to validate the method for three dimensional test cases, and to apply it to realistic complex cases.

Acknowledgments

Authors wish to acknowledge DGA (Direction Générale de l’Armement) from French ministry of Defense for financial support of this study. The research leading to these results has also received funding from the European Community’s Seventh Framework Programme (FP7/2007-2013) under grant agreement 225967 ‘‘NextMuSE’’.

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