On the differential equations for orthogonal grid generation

Zhou Weixing; S. I. Martynenko; P. D. Toktaliev

doi:10.1088/1742-6596/1158/4/042036

On the differential equations for orthogonal grid generation

Zhou Weixing
, S. I. Martynenko
, P. D. Toktaliev

School of Energy Science and Engineering

Central Institute of Aviation Motors
Institute of Problems of Chemical Physics of Russian Academy of Sciences

Research output: Contribution to journal › Conference article › peer-review

Abstract

An opportunity of the orthogonal grids generation for solving 2D and 3D (initial) boundary value problems has been analyzed in this paper. Based on orthogonality condition two variants of the orthogonal grid generation (based on PDEs of elliptic and hyperbolic types) in 2D domains and two partial cases, motion and rotation of 2D orthogonal grid, in 3D domains has been found. An equation that can be used for quality control of 3D close-to-orthogonal boundary fitted structured grids has been proposed.

Original language	English
Article number	042036
Journal	Journal of Physics: Conference Series
Volume	1158
Issue number	4
DOIs	https://doi.org/10.1088/1742-6596/1158/4/042036
State	Published - 1 Mar 2019
Event	12th International Conference on Mesh Methods for Boundary-Value Problems and Applications, MMBVPA 2018 - Kazan, Russian Federation Duration: 20 Sep 2018 → 25 Sep 2018

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title = "On the differential equations for orthogonal grid generation",

abstract = "An opportunity of the orthogonal grids generation for solving 2D and 3D (initial) boundary value problems has been analyzed in this paper. Based on orthogonality condition two variants of the orthogonal grid generation (based on PDEs of elliptic and hyperbolic types) in 2D domains and two partial cases, motion and rotation of 2D orthogonal grid, in 3D domains has been found. An equation that can be used for quality control of 3D close-to-orthogonal boundary fitted structured grids has been proposed.",

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N2 - An opportunity of the orthogonal grids generation for solving 2D and 3D (initial) boundary value problems has been analyzed in this paper. Based on orthogonality condition two variants of the orthogonal grid generation (based on PDEs of elliptic and hyperbolic types) in 2D domains and two partial cases, motion and rotation of 2D orthogonal grid, in 3D domains has been found. An equation that can be used for quality control of 3D close-to-orthogonal boundary fitted structured grids has been proposed.

AB - An opportunity of the orthogonal grids generation for solving 2D and 3D (initial) boundary value problems has been analyzed in this paper. Based on orthogonality condition two variants of the orthogonal grid generation (based on PDEs of elliptic and hyperbolic types) in 2D domains and two partial cases, motion and rotation of 2D orthogonal grid, in 3D domains has been found. An equation that can be used for quality control of 3D close-to-orthogonal boundary fitted structured grids has been proposed.

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DO - 10.1088/1742-6596/1158/4/042036

M3 - 会议文章

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VL - 1158

JO - Journal of Physics: Conference Series

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T2 - 12th International Conference on Mesh Methods for Boundary-Value Problems and Applications, MMBVPA 2018

Y2 - 20 September 2018 through 25 September 2018

ER -

On the differential equations for orthogonal grid generation

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