Immersed Methods for Fluid-Structure Interaction

Area of Science:

• Computational fluid dynamics
• Biomechanical modeling
• Scientific computing

Background:

• Fluid-structure interaction (FSI) is prevalent across biological scales.
• Traditional methods often require complex, body-fitted grids.
• Grid regeneration is computationally expensive for large deformations.

Purpose of the Study:

• To review immersed methods for modeling fluid-structure interaction.
• To cover both elastic structures and those with prescribed kinematics.
• To highlight applications in biological and biomedical fields.

Main Methods:

• Utilizes Eulerian fluid and Lagrangian structure descriptions.
• Employs integral operators or direct jump conditions for interface coupling.
• Avoids body-fitted discretizations, reducing grid regeneration needs.

Main Results:

• Immersed methods effectively model thin and volumetric bodies.
• Handles flexible, rigid, and kinematically prescribed structures.
• Demonstrated effectiveness through benchmark problems and simulations up to Re=20,000.

Conclusions:

• Immersed methods offer a robust framework for FSI problems.
• These methods are particularly impactful for biological and biomedical simulations.
• They provide a computationally efficient alternative to traditional approaches.