1. Global weak solutions to a 3D/3D fluid-structure interaction problem including possible contacts.
- Author
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Kampschulte, Malte, Muha, Boris, and Trifunović, Srđan
- Subjects
- *
FLUID-structure interaction , *BODY fluids - Abstract
In this paper, we study an interaction problem between a 3 D compressible viscous fluid and a 3 D nonlinear viscoelastic solid fully immersed in the fluid, coupled together on the interface surface. The solid is allowed to have self-contact or contact with the rigid boundary of the fluid container. For this problem, a global weak solution with defect measure is constructed by using a multi-layered approximation scheme which decouples the body and the fluid by penalizing the fluid velocity and allowing the fluid to pass through the body, while the body is supplemented with a contact-penalization term. The resulting defect measure is a consequence of pressure concentrations that can appear where the fluid meets the (generally irregular) points of self-contact of the solid. Moreover, we study some geometrical properties of the fluid-structure interface and the contact surface. In particular, we prove a lower bound on area of the interface. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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