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Smoothed Particles Hydrodynamics<br />

(Courtesy H.Bung, CEA Saclay)<br />

• Application domain: impact of a relatively soft body<br />

(~fluid) onto a structure, typically with fragmentation:<br />

– Aeronautics: bird strike<br />

– Nuclear: various applications (e.g. corium slug impact)<br />

– …<br />

• Goal: verify behaviour of the structure (not so much of the<br />

impacting body)<br />

• Advantages: it allows to overcome the limitations of<br />

classical FE-based methods in problems where a constant<br />

mesh topology becomes a serious drawback<br />

57<br />

Why a Particle-Based Method?<br />

• FE Lagrangian formulation: the mesh follows the material<br />

∪ Well adapted for solid behaviour<br />

∪ Relatively easy treatment of B.C.s<br />

∪ Need to model only the real domain<br />

∩ However: if deformations exceed a certain value,<br />

remeshing becomes necessary, else calculation stops<br />

• FE Eulerian formulation: the mesh is fixed<br />

∪ Well adapted for fluid behaviour<br />

∪ No mesh distortions<br />

∩ More difficult treatment of B.C.s (e.g. free surface tracking)<br />

∩ In certain problems (e.g. rotating bodies) need to model more than<br />

the real domain<br />

∩ Longer and less accurate calculations due to transport terms<br />

58<br />

29

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