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.


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
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[1] J FLUID MECHANICS 36 pp 805– (1969)
[2] PHIL TRANS R SOC LOND A 355 pp 523– (1997)
[3] J FLUID MECHANICS 222 pp 215– (1991)
[4] 48 pp 279– (2004)
[5] Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 456 pp 2489– (2000)
[6] 14 pp 127– (2000)
[7] APPL OCEAN RES 21 pp 1– (1999)
[8] J FLUID MECHANICS 547 pp 231– (2006)
[9] J FLUID STRUCT 12 pp 549– (1998)
[10] 22 pp 99– (2006)
[11] 23 pp 755– (2007)
[12] QUAT J MECH APPL MATH 60 pp 497– (2007)
[13] OCEAN ENG 30 pp 387– (2003)
[14] 19 pp 277– (2004)
[15] OCEAN ENG 35 pp 1597– (2008)
[16] J FLUID MECHANICS 246 pp 593– (1993)
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