Penetration-Free Solid-Fluid Interaction on Shells and Rods.

Area of Science:

• Computational physics
• Fluid dynamics
• Solid mechanics

Background:

• Simulating fluid-solid interactions is challenging, especially with thin elastic objects.
• Existing methods often struggle with penetration and maintaining fluid volume.
• Accurate modeling requires handling complex interface dynamics and positional constraints.

Purpose of the Study:

• To develop a novel simulation approach for fluid-thin elastic solid interactions.
• To ensure penetration-free simulations while maintaining fluid incompressibility and solid elasticity.
• To provide a robust framework for diverse fluid-structure interaction phenomena.

Main Methods:

• An optimization system augmented with barriers to enforce non-penetration constraints.
• Explicit representation of solid positions and implicit representation of fluid level-set interface.
• A volume preservation technique adjusting level-set values and a novel distance metric for surface-object separation.

Main Results:

• Demonstrated the effectiveness of explicitly resolving positional constraints over velocity coherence.
• Successfully simulated a wide range of fluid-structure interactions, including topology changes, splashing, and floating.
• Validated the robustness and flexibility of the unified simulation system.

Conclusions:

• The proposed method offers a significant advancement in simulating fluid-thin elastic solid interactions without penetration.
• Explicitly handling positional constraints provides greater accuracy and flexibility.
• The approach enables robust simulation of complex phenomena, advancing computational physics and engineering applications.