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

Jose Pinzon (), Martin Siebenborn () and Andreas Vogel ()
Additional contact information
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

A chapter in High Performance Computing in Science and Engineering '20, 2021, pp 579-594 from Springer

Abstract: 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.

Date: 2021
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-80602-6_38

Ordering information: This item can be ordered from
http://www.springer.com/9783030806026

DOI: 10.1007/978-3-030-80602-6_38

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().