Octree Optimized Micrometric Fibrous Microstructure Generation for Domain Reconstruction and Flow Simulation.

Area of Science:

• Computational fluid dynamics
• Materials science
• Numerical analysis

Background:

• Advances in scalable numerical tools and mesh immersion techniques enhance efficiency and result quality.
• Microstructure analysis requires efficient computational methods for complex geometries.

Purpose of the Study:

• To present an octree-optimized method for microstructure generation and domain reconstruction with adaptive meshing.
• To demonstrate the method's application in computing the permeability of fibrous materials.

Main Methods:

• Octree implementation to decrease distance calculations and reduce computational complexity.
• Utilizing the ICI-tech library's parallel environment for meshing and solving.
• Applying a stabilized finite element formulation and monolithic approach for Stokes flow simulation.

Main Results:

• Successfully computed the full permeability tensor of a 3D microstructure with 10,000 fibers.
• Demonstrated reduced computational complexity due to the octree implementation.
• Validated the method's effectiveness in flow simulation for fibrous materials.

Conclusions:

• The octree-optimized approach significantly improves computational efficiency for microstructure analysis.
• The method provides accurate permeability tensor computation for complex, large-scale fibrous materials.
• This technique offers a scalable solution for simulating fluid flow through microstructures.