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

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This study presents an octree-optimized method for generating microstructures and reconstructing domains for adaptive meshing. This approach reduces computational complexity for accurate permeability tensor calculations in fibrous materials.

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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.