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High-Performance Shape Optimization for Linear Elastic Models of Epidermal Cell Structures

In: High Performance Computing in Science and Engineering '20

Author

Listed:
  • Jose Pinzon

    (Ruhr University Bochum, High Performance Computing in the Engineering Sciences)

  • Martin Siebenborn

    (University Hamburg, Department of Mathematics)

  • Andreas Vogel

    (Ruhr University Bochum, High Performance Computing in the Engineering Sciences)

Abstract

We employ parallel shape optimization to find optimal configurations of human skin cell compounds minimizing the stored energy. To this end, we model linear elastic mechanical properties of epidermal cell structures including additional constraints for space-filling designs with minimal surfaces. The large distributed-memory cluster Hazel Hen is used to simulate these three-dimensional domains at a cellular level. Several benchmark tests are carried out using a gradient-penalized shape optimization algorithm comparing the influence of optimization weights. In addition, an enhanced regularization for locally nonsingular deformation mappings is presented for the two-dimensional setting which significantly reduces the number of required optimization steps while retaining very thin inter-cellular channels. Results for weak scaling studies are shown for up to 3 billion degrees of freedom and 12,288 cores with close to ideal speedup.

Suggested Citation

  • Jose Pinzon & Martin Siebenborn & Andreas Vogel, 2021. "High-Performance Shape Optimization for Linear Elastic Models of Epidermal Cell Structures," Springer Books, in: Wolfgang E. Nagel & Dietmar H. Kröner & Michael M. Resch (ed.), High Performance Computing in Science and Engineering '20, pages 579-594, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-80602-6_38
    DOI: 10.1007/978-3-030-80602-6_38
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