Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries

Sebastian Reiter; Arne Nägel; Andreas Vogel; Gabriel Wittum

doi:10.1007/978-3-319-68394-2_27

Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries

Sebastian Reiter^*, Arne Nägel, Andreas Vogel, Gabriel Wittum

^*Corresponding author for this work

Applied Mathematics and Computational Science

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

1 Scopus citations

Abstract

Numerical simulation based on mathematical models is an important pillar for enhancing the understanding of permeation processes in the skin. To adequately resolve the complex geometrical structure of the skin, special models based on tetrakaidecahedral cells have been suggested. While these models preserve many of the desirable properties of the underlying geometry, they impose challenges regarding mesh generation and solver robustness. To improve robustness of the used multigrid solver, we propose a new mesh and hierarchy structure with good aspect ratios and angle conditions. Furthermore, we show how those meshes can be used in scalable massively parallel multigrid based computations of permeation processes in the skin.

Original language	English (US)
Title of host publication	High Performance Computing in Science and Engineering' 17
Subtitle of host publication	Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2017
Publisher	Springer International Publishing
Pages	457-466
Number of pages	10
ISBN (Electronic)	9783319683942
ISBN (Print)	9783319683935
DOIs	https://doi.org/10.1007/978-3-319-68394-2_27
State	Published - Jan 1 2018

Bibliographical note

Publisher Copyright:
© Springer International Publishing AG 2018.

ASJC Scopus subject areas

General Computer Science
General Physics and Astronomy
General Mathematics
General Chemistry

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10.1007/978-3-319-68394-2_27

Cite this

Reiter, S., Nägel, A., Vogel, A., & Wittum, G. (2018). Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries. In High Performance Computing in Science and Engineering' 17: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2017 (pp. 457-466). Springer International Publishing. https://doi.org/10.1007/978-3-319-68394-2_27

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Reiter, S, Nägel, A, Vogel, A & Wittum, G 2018, Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries. in High Performance Computing in Science and Engineering' 17: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2017. Springer International Publishing, pp. 457-466. https://doi.org/10.1007/978-3-319-68394-2_27

Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries. / Reiter, Sebastian; Nägel, Arne; Vogel, Andreas et al.
High Performance Computing in Science and Engineering' 17: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2017. Springer International Publishing, 2018. p. 457-466.

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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AU - Vogel, Andreas

AU - Wittum, Gabriel

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N2 - Numerical simulation based on mathematical models is an important pillar for enhancing the understanding of permeation processes in the skin. To adequately resolve the complex geometrical structure of the skin, special models based on tetrakaidecahedral cells have been suggested. While these models preserve many of the desirable properties of the underlying geometry, they impose challenges regarding mesh generation and solver robustness. To improve robustness of the used multigrid solver, we propose a new mesh and hierarchy structure with good aspect ratios and angle conditions. Furthermore, we show how those meshes can be used in scalable massively parallel multigrid based computations of permeation processes in the skin.

AB - Numerical simulation based on mathematical models is an important pillar for enhancing the understanding of permeation processes in the skin. To adequately resolve the complex geometrical structure of the skin, special models based on tetrakaidecahedral cells have been suggested. While these models preserve many of the desirable properties of the underlying geometry, they impose challenges regarding mesh generation and solver robustness. To improve robustness of the used multigrid solver, we propose a new mesh and hierarchy structure with good aspect ratios and angle conditions. Furthermore, we show how those meshes can be used in scalable massively parallel multigrid based computations of permeation processes in the skin.

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Reiter S, Nägel A, Vogel A, Wittum G. Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries. In High Performance Computing in Science and Engineering' 17: Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2017. Springer International Publishing. 2018. p. 457-466 doi: 10.1007/978-3-319-68394-2_27

Massively parallel multigrid for the simulation of skin permeation on anisotropic tetrakaidecahedral cell geometries

Abstract

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ASJC Scopus subject areas

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