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Q-Morph - Implementing a Quadrilateral Meshing Algorithm

Levik, Karl Erik
Master thesis
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Year
2002
Permanent link
http://urn.nb.no/URN:NBN:no-4115

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  • Institutt for informatikk [3581]
Abstract
This thesis treats the implementational and some theoretical aspects

of the Q-Morph algorithm for 2D domains. The main application

areas are within FE methods. Q-Morph uses an advancing front method

for generating unstructured, almost all-quadrilateral meshes

containing at most one triangle, and few irregular nodes. The main

algorithm is described in (1), while the post-processing

methods are covered in (2,3).

In addition to an introduction to the Q-Morph algorithm, the thesis

also consists of some general background material for FEM meshing,

discussions of many issues concerning the implementation, a

presentation of important results, and a discussion of possible

improvements. To ensure that the implementation conforms to the

specifications of the algorithm, it has been tested on a number of

different cases.

1) S.J. Owen, M.L. Staten, S.A. Canann, S.Saigal: Advancing Front Quadrilateral Meshing Using Triangle Transformations, 1998

2) P. Kinney: CleanUp: Improving Quadrilateral Finite Element Meshes, 1997

3) S.A. Canann, J.R. Tristano, M.L. Staten: An Approach to Combined Laplacian and Optimization-Based Smoothing for Triangular Quadrilateral and Quad-Dominant Meshes, 1998
 
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