For the weave structure shown here, the effective stiffness is computed with ElastoDict-Effective Stiffness and the FeelMath solver. All fibers are fully resolved in the structure of 2,590 x 2,590 x 821 voxels (i.e., in total ~5.5 billion voxels).

For strain load type and periodic boundary conditions, all six load cases are computed using the conjugate gradient method.

The computation was run on our server, with 2 x Intel E5-2697A v4 processors with 16 cores each, running with a maximum of 3.60 GHz, and 1024 GB RAM.

To show the possible benefit of using downsampling, runtime and memory requirements are compared with and without downsampling, for a different number of processes, using GeoDict 2025 (r81163).

Runtime results are shown in the following figure. The computation, which needs 40 h with 8 processes, can be run in 25 min with 32 processes and downsampling. Even without increasing the number of processes, the runtime is reduced by 97 %.

The memory requirement is reduced by 97 % as well. The computation that needed 1 TB of RAM without downsampling requires only 28 GB with downsampling and thus can be run on a standard laptop or desktop computer.

The ideal speedup, i.e., getting half the runtime for twice the number of processes is also shown in the figure for the computation with downsampling. Computations with FeelMath have a very good speedup compared to the ideal line.