Massively Parallel Multigrid for the Simulation of Skin Permeation on Anisotropic Tetrakaidecahedral Cell Geometries

Sebastian Reiter (), Arne Nägel (), Andreas Vogel () and Gabriel Wittum ()
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Sebastian Reiter: G-CSC, Goethe-Universität Frankfurt
Arne Nägel: G-CSC, Goethe-Universität Frankfurt
Andreas Vogel: G-CSC, Goethe-Universität Frankfurt
Gabriel Wittum: Goethe-Universität Frankfurt am Main, Goethe Center for Scientific Computing (G-CSC), Simulation and Modelling Department

A chapter in High Performance Computing in Science and Engineering ' 17, 2018, pp 457-466 from Springer

Abstract: 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.

Keywords: Tetrakaidecahedral Cells; Permeation Process; Solver Robustness; Good Aspect Ratio; Multigrid Hierarchy (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-68394-2_27

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

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