Level-set based composite voxels for FFT-based computational homogenization of thermal conductivity

GND
1336844051
ORCID
0009-0005-8832-381X
LSF
64148
Affiliation
University of Duisburg-Essen (UDE), Institute of Engineering Mathematics, 45141 Essen, Germany
Lendvai, Jonas;
GND
1362246387
ORCID
0000-0001-7017-3618
LSF
63408
Affiliation
University of Duisburg-Essen (UDE), Institute of Engineering Mathematics, 45141 Essen, Germany
Schneider, Matti

Computational homogenization methods reveal the physical behavior of heterogeneous materials, often complex due to intricate manufacturing. Micromechanical techniques use microstructural data to predict effective behavior. However, processing digital material data, represented as voxels, involves handling numerous image points. While modern FFTbased solvers are powerful, performance improvements remain beneficial. The composite voxel technique, in its original form, enhances accuracy by applying a surrogate material law to voxels containing more than one material phase. This work contributes to the understanding and application of composite voxels for thermal conductivity problems by integrating them into a level-set-based framework. Using FFT-based solvers, we demonstrate their potential to enhance computational performance through numerical examples.

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