Implicit immersed boundary method for fluid-structure interaction

Shang-Gui Cai (1) , Abdellatif Ouahsine (1) , Julien Favier (2) , Yannick Hoarau (3)

1 Roberval - Roberval
2 M2P2 - Laboratoire de Mécanique, Modélisation et Procédés Propres
3 ICube - Laboratoire des sciences de l'ingénieur, de l'informatique et de l'imagerie

A novel immersed boundary method is introduced for simulating the fluid-structure interaction problem. Unlike the body-conforming mesh method which imposes the no-slip boundary conditions directly on the immersed interface, the immersed boundary method adopts a boundary force for the presence of the immersed solid. Therefore, the fluid is simply simulated on a fixed Cartesian mesh irrespective the movement of the immersed solid, which circumvents the mesh quality issue that frequently happens in the body-conforming mesh method. To enforce the correct boundary condition, we derive an additional moving force equation. This additional equation is integrated into a second order accurate fractional step method and solved with the conjugate gradient method. The proposed method is validated with several one-way fluid-structure interaction examples.

Mots clés: Immersed boundary method; Fractional step method; Fluid-structure interaction

Domaines: Sciences de l'ingénieur [physics]; Mécanique des fluides [physics.class-ph]

Shang-Gui Cai, Abdellatif Ouahsine, Julien Favier, Yannick Hoarau. Implicit immersed boundary method for fluid-structure interaction. La Houille Blanche - Revue internationale de l'eau, 2017, 1/2017 (1), pp.33 - 36. ⟨10.1051/lhb/2017005⟩. ⟨hal-01592851⟩