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Skew Partitioning for the Hybrid Multilevel Solver

Klok, M.L. van der (2017) Skew Partitioning for the Hybrid Multilevel Solver. Bachelor's Thesis, Applied Mathematics.

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Abstract

This bachelor thesis constitutes a research of skew partitioning in three dimensions for the hybrid multilevel solver (HYMLS), a parallel solver developed at the University of Groningen to solve incompressible (Navier-) Stokes problems. The separators in standard Cartesian partitioning isolate pressure nodes which possibly affects the convergence properties of HYMLS, which is why skew partitioning is considered as an alternative. After a brief overview of the HYMLS method, the currently employed partitioning mechanisms -- 2D Cartesian, 3D Cartesian and 2D skew partitioning -- are studied using a three-step approach that consists of (1) building a template, (2) finding the groups for a general domain and (3) distributing the results over the grid. This lead to insights on how to generalize the 2D situation to the 3D case and how to perform the transition from Cartesian to skew partitioning. Using these insights, domain shape candidates were identified for 3D skew partitioning. A prism shape was finally shown to yield a consistent partitioning without the presence of isolated pressure nodes.

Item Type: Thesis (Bachelor's Thesis)
Degree programme: Applied Mathematics
Thesis type: Bachelor's Thesis
Language: English
Date Deposited: 15 Feb 2018 08:29
Last Modified: 15 Feb 2018 08:29
URI: http://fse.studenttheses.ub.rug.nl/id/eprint/15421

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