Automatic boundary sizing for 2D and 3D meshes

Alexandre Cunha, Scott Canann, Sunil Saigal

Research output: Contribution to journalArticle

22 Citations (Scopus)

Abstract

The numerical solution of problems in science and engineering via the finite element method requires, as a first step, the discretization of a domain into a set of simply shaped elements. Determining the size of these elements along the domain, including the boundary, to form well-shaped elements is a difficult task. We present in this paper a simple technique, called smart sizing, which automatically computes high quality initial element sizing on curves for triangular, quadrilateral and tetrahedral elements. Curve divisions are computed based on curve and surface curvatures as well as feature proximity. In the three dimensional case, refinement of facets is performed as needed to create reasonably sized surface elements. Computing a boundary mesh appropriately is a key step to successfully determine the size and distribution of new elements towards the interior of the domain, especially for the advancing front and constrained Delaunay meshing techniques. The approach presented here is geometry based and does not attempt to account for the physics of the problem.

Original languageEnglish (US)
Pages (from-to)65-72
Number of pages8
JournalAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
Volume220
StatePublished - Dec 1 1997
Externally publishedYes

Fingerprint

Physics
Finite element method
Geometry

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering

Cite this

@article{d687a97486dd49c3ada339c868b643ab,
title = "Automatic boundary sizing for 2D and 3D meshes",
abstract = "The numerical solution of problems in science and engineering via the finite element method requires, as a first step, the discretization of a domain into a set of simply shaped elements. Determining the size of these elements along the domain, including the boundary, to form well-shaped elements is a difficult task. We present in this paper a simple technique, called smart sizing, which automatically computes high quality initial element sizing on curves for triangular, quadrilateral and tetrahedral elements. Curve divisions are computed based on curve and surface curvatures as well as feature proximity. In the three dimensional case, refinement of facets is performed as needed to create reasonably sized surface elements. Computing a boundary mesh appropriately is a key step to successfully determine the size and distribution of new elements towards the interior of the domain, especially for the advancing front and constrained Delaunay meshing techniques. The approach presented here is geometry based and does not attempt to account for the physics of the problem.",
author = "Alexandre Cunha and Scott Canann and Sunil Saigal",
year = "1997",
month = "12",
day = "1",
language = "English (US)",
volume = "220",
pages = "65--72",
journal = "American Society of Mechanical Engineers, Applied Mechanics Division, AMD",
issn = "0160-8835",

}

Automatic boundary sizing for 2D and 3D meshes. / Cunha, Alexandre; Canann, Scott; Saigal, Sunil.

In: American Society of Mechanical Engineers, Applied Mechanics Division, AMD, Vol. 220, 01.12.1997, p. 65-72.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Automatic boundary sizing for 2D and 3D meshes

AU - Cunha, Alexandre

AU - Canann, Scott

AU - Saigal, Sunil

PY - 1997/12/1

Y1 - 1997/12/1

N2 - The numerical solution of problems in science and engineering via the finite element method requires, as a first step, the discretization of a domain into a set of simply shaped elements. Determining the size of these elements along the domain, including the boundary, to form well-shaped elements is a difficult task. We present in this paper a simple technique, called smart sizing, which automatically computes high quality initial element sizing on curves for triangular, quadrilateral and tetrahedral elements. Curve divisions are computed based on curve and surface curvatures as well as feature proximity. In the three dimensional case, refinement of facets is performed as needed to create reasonably sized surface elements. Computing a boundary mesh appropriately is a key step to successfully determine the size and distribution of new elements towards the interior of the domain, especially for the advancing front and constrained Delaunay meshing techniques. The approach presented here is geometry based and does not attempt to account for the physics of the problem.

AB - The numerical solution of problems in science and engineering via the finite element method requires, as a first step, the discretization of a domain into a set of simply shaped elements. Determining the size of these elements along the domain, including the boundary, to form well-shaped elements is a difficult task. We present in this paper a simple technique, called smart sizing, which automatically computes high quality initial element sizing on curves for triangular, quadrilateral and tetrahedral elements. Curve divisions are computed based on curve and surface curvatures as well as feature proximity. In the three dimensional case, refinement of facets is performed as needed to create reasonably sized surface elements. Computing a boundary mesh appropriately is a key step to successfully determine the size and distribution of new elements towards the interior of the domain, especially for the advancing front and constrained Delaunay meshing techniques. The approach presented here is geometry based and does not attempt to account for the physics of the problem.

UR - http://www.scopus.com/inward/record.url?scp=0030702389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0030702389&partnerID=8YFLogxK

M3 - Article

VL - 220

SP - 65

EP - 72

JO - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

JF - American Society of Mechanical Engineers, Applied Mechanics Division, AMD

SN - 0160-8835

ER -