Automated Edge Grid Generation Based on Arc-Length Optimization
McLaurin, David and Suzanne M. Shontz
22nd International Meshing Roundtable, Springer-Verlag, pp.385-403, October 13-16 2013
22nd International Meshing Roundtable
High Performance Computing Collaboratory, Center for Advanced Vehicular Systems, Graduate Program in Computational Engineering, Mississippi State University, Mississippi State, MS, U.S.A.
Department of Mathematics and Statistics, Department of Computer Science and Engineering, Center for Computational Sciences, Graduate Program in Computational Engineering, Mississippi State University, Mississippi State, MS, U.S.A.
Email: firstname.lastname@example.org, email@example.com
Computational design and analysis has become a fundamental
part of industry and academia for use in research, development, and manufacturing.
In general, the accuracy of a computational analysis depends heavily
on the fidelity of the computational representation of a real-world object or
phenomenon. Most mesh generation strategies focus on element quality‚Äìwith
the justification being that downstream applications require high quality geometries
in order to achieve a desired level of accuracy. However, element
quality should be secondary to accurately representing the underlying physical
object or phenomenon. This work seeks to improve the process of creating
a computational model of an object of interest by accelerating the process
of mesh generation by reducing the need for (often) manual intervention.
This acceleration will be accomplished by automatically generating optimal
discretizations of curves by minimizing the arc-length deficit. We propose a
method for generating optimal discretizations through local optimization of
the arc length. Our results demonstrate the robustness and accuracy of our
optimal discretization technique.We also discuss how to incorporate our edge
grid generator into existing mesh generation software.
Download Full Paper (PDF Format)
Contact author(s) or publisher for availability and copyright information on above referenced article