Abstract
Over recent decades, tremendous advances in the field of scalable numerical tools and mesh immersion techniques have been achieved to improve numerical efficiency while preserving a good quality of the obtained results. In this context, an octree-optimized microstructure generation and domain reconstruction with adaptative meshing is presented and illustrated through a flow simulation example applied to permeability computation of micrometric fibrous materials. Thanks to the octree implementation, the numerous distance calculations in these processes are decreased, thus the computational complexity is reduced. Using the parallel environment of the ICI-tech library as a mesher and a solver, a large scale case study is performed. The study is applied to the computation of the full permeability tensor of a three-dimensional microstructure containing 10,000 fibers. The considered flow is a Stokes flow and it is solved with a stabilized finite element formulation and a monolithic approach.
Highlights
The properties and behavior of a discontinuous fiber-reinforced thermoplastic are induced by the mechanisms involved during the forming process
Modeling and numerical simulation have a major role in understanding and predicting these mechanisms, especially at the microscopic scale, which provides the most accurate results
Obtained results show our capability thanks to an octree implementation to deal with big data in terms of input of permeability simulation and to perform reliable finite element calculation on complex geometries
Summary
The properties and behavior of a discontinuous fiber-reinforced thermoplastic are induced by the mechanisms involved during the forming process. Octree algorithms are widely used in various fields and their application range is significantly extensive, especially when positions must be accessed and manipulated These applications include construction of a three-dimensional object model from a set of images [2] and simulation of displacement of free surface [3]. Octrees are broadly applied for collision detection algorithms in virtual reality, rigid bodies contacts, characters animation, or machining simulation, such as cutter-path generation for numerical control machines which require efficient collision detection routines [4,5,6]. Another significant example involving octree algorithm is the mesh generation procedure. An application of flow simulation through the reconstructed domains dealing with the identification of the full-component permeability tensor is conducted
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