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**Simulation of water entry of a wedge through free fall in three degrees of freedom.**
*(English)*
Zbl 1196.35174

Summary: The water entry problem of a wedge through free fall in three degrees of freedom is studied through the velocity potential theory for the incompressible liquid. In particular, the effect of the body rotation is taken into account, which seems to have been neglected so far. The problem is solved in a stretched coordinate system through a boundary element method for the complex potential. The impact process is simulated based on the time stepping method. Auxiliary function method has been used to decouple the mutual dependence between the body motion and the fluid flow. The developed method is verified through results from other simulation and experimental data for some simplified cases. The method is then used to undertake extensive investigation for the free fall problems in three degrees of freedom.

### MSC:

35Q35 | PDEs in connection with fluid mechanics |

35Q70 | PDEs in connection with mechanics of particles and systems of particles |

70E15 | Free motion of a rigid body |

76M15 | Boundary element methods applied to problems in fluid mechanics |

### Keywords:

water entry; free fall motion; three degrees of freedom; auxiliary function method; time domain simulation; boundary element method
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\textit{G. D. Xu} et al., Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. 466, No. 2120, 2219--2239 (2010; Zbl 1196.35174)

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