Strain-based diffusion solver for realistic representation of diffusion front in physical reactions.

Area of Science:

• Computational physics
• Material science
• Fluid dynamics

Background:

• Simulating fluid-solid interactions, like water or fire with solids, presents challenges in accurately depicting diffusion fronts.
• Existing models often use isotropic or anisotropic diffusion, leading to unrealistic monotonous patterns.

Purpose of the Study:

• To develop an improved diffusion model for fluid-solid interaction simulations.
• To address the limitations of previous approaches by incorporating material deformation into the diffusion process.

Main Methods:

• Proposed a novel diffusion model integrating stretching deformation (strain) into a divergence-constrained diffusion framework.
• Ensured fluid flow equations are coupled with solid geometry changes.
• Satisfied the divergence-free condition for enhanced accuracy.

Main Results:

• The new model successfully incorporates material deformation into diffusion simulations.
• Achieved an increased global rate of quantity acquisition (heat, saturation) by the solid.
• Experimental results demonstrate convincing and realistic simulation outcomes.

Conclusions:

• The integrated deformation-diffusion model offers a more accurate representation of physical reactions in fluid-solid interactions.
• This approach overcomes the limitations of previous models, producing more realistic simulation patterns.