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High quality mesh generation using cross and asterisk fields: Application on coastal domains.

Georgiadis, Christos, Pierre-Alexandre Beaufort, Jonathan Lambrechts, Jean-François Remacle

Research Notes, 26th International Meshing Roundtable, Sandia National Laboratories, September 18-21 2017

INTERNATIONAL
MESHING
ROUNTABLE

26th International Meshing Roundtable
Barcelona, Spain
September 18-21, 2017

Christos Georgiadis, Université catholique de Louvain, BE, christos.georgiadis@uclouvain.be
Pierre-Alexandre Beaufort, Université catholique de Louvain, BE, pierre-alexandre.beaufort@uclouvain.be
Jonathan Lambrechts, Université catholique de Louvain, BE, jonathan.lambrechts@uclouvain.be
Jean-François Remacle, Université catholique de Louvain, BE, jean-francois.remacle@uclouvain.be

Research Note Abstract
We present a method to generate high quality triangular or quadrilateral meshes by using direction fields and a frontal point insertion strategy. The direction fields are either asterisk fields or cross fields. With asterisk fields we generate high quality triangulations, while with cross fields we generate right-angled triangulations that are optimal for transformation to quadrilateral meshes. The input of our algorithm is an initial triangular mesh and a direction field calculated on it. We present an algorithm that enables to efficiently generate the points using solely information from the base mesh. Regarding the quadrangulation process, we develop a quality criterion for right-angled triangles and an optimization process based on it. The algorithm is demonstrated on the sphere and examples of high quality triangular and quadrilateral meshes of coastal domains are presented.

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