Implicit immersed boundary method for fluid-structure interaction

Abstract : 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.
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https://hal.archives-ouvertes.fr/hal-01592851
Contributor : Elena Rosu <>
Submitted on : Monday, September 25, 2017 - 2:55:36 PM
Last modification on : Tuesday, April 2, 2019 - 1:38:50 AM

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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, EDP Sciences, 2017, 1/2017 (1), pp.33 - 36. ⟨10.1051/lhb/2017005⟩. ⟨hal-01592851⟩

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