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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 107
PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON PARALLEL, DISTRIBUTED, GRID AND CLOUD COMPUTING FOR ENGINEERING
Edited by:
Paper 41

Parallelization of Topology Based Construction of Localization Map between Simplex Finite Element Meshes

D. Rypl

Department of Mechanics, Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic

Full Bibliographic Reference for this paper
D. Rypl, "Parallelization of Topology Based Construction of Localization Map between Simplex Finite Element Meshes", in , (Editors), "Proceedings of the Fourth International Conference on Parallel, Distributed, Grid and Cloud Computing for Engineering", Civil-Comp Press, Stirlingshire, UK, Paper 41, 2015. doi:10.4203/ccp.107.41
Keywords: finite element, data transfer, finite element mesh mapping, localization map, walking algorithm, mesh traversal, parallelization.

Summary
This paper deals with the transfer of finite element data between simplex, mutually incompatible, finite element meshes representing the same geometrical model. The work focuses on a construction of the localization map defining for each node of the target mesh, onto which the data are to be transferred, the closest element of the original source mesh. Instead of adopting commonly applied strategies constructing the map using a spatial index based on various tree or dynamic cell data structures, a different approach utilising the topology of the mesh is introduced. The actual localization is performed using a walking algorithm, which is based on the traversal between neighbouring elements of the source mesh from an initial element towards the processed node. The individual nodes of the target mesh are processed in an appropriate order given by the nodal connectivity of the target mesh and controlled by a queue which ensures that only those target nodes that have a neighbouring processed node, are ready for localization. To make the algorithm efficient and reliable, its implementation also relies on the classification of the processed meshes to the underlying geometrical model. The paper also elaborates a simple strategy for the parallelization of the construction of the localization map using the domain decomposition concept. The performance of the proposed approach is demonstrated on a three-dimensional real-world example using a shared memory parallel computing architecture.

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