Generation of orthogonal curvilinear meshes in three dimensions

H. Meliani; J. A. Djebbar; D. de Cogan

doi:10.1002/jnm.506

Generation of orthogonal curvilinear meshes in three dimensions

H. Meliani, J. A. Djebbar, D. de Cogan

School of Computing Sciences

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this article a method of curvilinear orthogonal mesh generation in three dimensions is described. This technique is based on the solution of elliptic equations in two and three dimensions. Frequently, the generated meshes are not quite orthogonal; hence a modified Davies' algorithm is used to solve this problem. The effectiveness of the method is demonstrated using examples based on electromagnetic field problems. These curvilinear meshes have the ability to correctly represent non-uniform geometry, as well as regions containing singularities or high gradient fields.

Original language	English
Pages (from-to)	401-415
Number of pages	15
Journal	International Journal of Numerical Modelling: Electronic Networks, Devices and Fields
Volume	16
Issue number	5
DOIs	https://doi.org/10.1002/jnm.506
Publication status	Published - 2003

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10.1002/jnm.506

Cite this

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title = "Generation of orthogonal curvilinear meshes in three dimensions",

abstract = "In this article a method of curvilinear orthogonal mesh generation in three dimensions is described. This technique is based on the solution of elliptic equations in two and three dimensions. Frequently, the generated meshes are not quite orthogonal; hence a modified Davies' algorithm is used to solve this problem. The effectiveness of the method is demonstrated using examples based on electromagnetic field problems. These curvilinear meshes have the ability to correctly represent non-uniform geometry, as well as regions containing singularities or high gradient fields.",

author = "H. Meliani and Djebbar, {J. A.} and {de Cogan}, D.",

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AU - de Cogan, D.

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AB - In this article a method of curvilinear orthogonal mesh generation in three dimensions is described. This technique is based on the solution of elliptic equations in two and three dimensions. Frequently, the generated meshes are not quite orthogonal; hence a modified Davies' algorithm is used to solve this problem. The effectiveness of the method is demonstrated using examples based on electromagnetic field problems. These curvilinear meshes have the ability to correctly represent non-uniform geometry, as well as regions containing singularities or high gradient fields.

U2 - 10.1002/jnm.506

DO - 10.1002/jnm.506

M3 - Article

VL - 16

SP - 401

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JO - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

JF - International Journal of Numerical Modelling: Electronic Networks, Devices and Fields

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