An energy-conserving strategy for coupling of finite element method and SPH-ALE method for transient fluid-structure interaction

Zhe Li (1) , Julien Leduc (2) , Alain Combescure (3) , Francis Leboeuf (1)

1 LMFA - Laboratoire de Mecanique des Fluides et d'Acoustique
2 ANDRITZ Hydro
3 LaMCoS - Laboratoire de Mécanique des Contacts et des Structures [Villeurbanne]

This article presents a coupling strategy for transient fluid-structure interaction. The proposed method is applied to a mono-dimensional test case where we study the phenomenon of propagation of shock waves across the fluid-structure interface. The solid sub-domain is discretized by Finite Element Method in Total Lagrangian Formulation with Newmark time integrator, whereas for the fluid sub-domain we use the mesh-less method SPH-ALE with 2 nd order Runge-Kutta scheme. At the fluid-structure interface, we impose a continuity condition for velocity to ensure that the interface energy is zero during the whole period of numerical simulation. This coupling method can thus allow us to preserve the minimum order of accuracy in time of the used time integrators for each sub-domain. A good agreement is found between the numerical result and the analytical solution in the 1D shock wave propagation test case. Finally, a multi-dimensional example is presented.

Mots clés: fluid-structure interaction; SPH-ALE; interface energy; time integrators

Domaines: Mécanique [physics]

Zhe Li, Julien Leduc, Alain Combescure, Francis Leboeuf. An energy-conserving strategy for coupling of finite element method and SPH-ALE method for transient fluid-structure interaction. 11e colloque national en calcul des structures, CSMA, May 2013, Giens, France. ⟨hal-01717070⟩