Local dual contributions: Representing dual surfaces for block meshing

Author (s): Roca, X. and Sarrate, J.
Journal: International Journal for Numerical Methods in Engineering

Volume: 83, Issue 6
Pages: 709 – 740
Date: 2010

Abstract:
In this work we present a tool based on the new concept of local dual contributions for directly representing the topology and the approximated geometry of the dual of a block mesh. This tool allows us to obtain a valid block decomposition of a given geometry without a previous discretization of its boundary. Specifically, our tool is composed of a hierarchical scheme and a set of matching rules that explicitly insert descriptions of dual surfaces and handle their intersections. That is, the proposed tool generates a dual of the block mesh with intersections of the proper multiplicity without gaps and which respects the boundary features of the domain. Finally, we present several examples that illustrate the applicability of the tool

Journal paper (from the publisher)  
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Bibtex:

@article {2010-IJNME-RS,
author = {Roca, X. and Sarrate, J.},
title = {Local dual contributions: Representing dual surfaces for block meshing},
journal = {International Journal for Numerical Methods in Engineering},
volume = {83},
number = {6},
publisher = {John Wiley & Sons, Ltd.},
issn = {1097-0207},
url = {http://dx.doi.org/10.1002/nme.2852},
doi = {10.1002/nme.2852},
pages = {709--740},
keywords = {mesh generation, dual, block decomposition, hexahedra, quadrilaterals},
year = {2010},
}