Development of Elliptic and Hyperbolic Grid Generation

It has been found that partial differential equations (PDE's) could be used to efficiently generate high quality structured grids. The grid discretizes the physical domain to computational domain, typically an array data structure in Fortran. This study concentrates on elliptic and hyperbolic m...

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Main Author:	Asmuin, Norzelawati
Format:	Thesis
Language:	English English
Published:	2000
Subjects:	Elliptic functions Hyperbola
Online Access:	http://psasir.upm.edu.my/id/eprint/10462/1/FK_2000_10_A.pdf
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id	my-upm-ir.10462
record_format	uketd_dc
spelling	my-upm-ir.104622024-03-29T03:32:04Z Development of Elliptic and Hyperbolic Grid Generation 2000-04 Asmuin, Norzelawati It has been found that partial differential equations (PDE's) could be used to efficiently generate high quality structured grids. The grid discretizes the physical domain to computational domain, typically an array data structure in Fortran. This study concentrates on elliptic and hyperbolic methods for structured grid generation. The elliptic method uses the Laplace equations to transfonn the physical domain to computational domain and finite difference to generate the grids. Whereas, the hyperbolic method uses orthogonal relations to solve the PDE's, a marching scheme to create the grids and then cubic spline interpolations to smoothen grid lines at the boundaries. C-type and O-type elliptic and hyperbolic grids have been generated for an airfoil and smooth boundary conditions were obtained in the elliptic method but not by the hyperbolic method. Elliptic functions Hyperbola 2000-04 Thesis http://psasir.upm.edu.my/id/eprint/10462/ http://psasir.upm.edu.my/id/eprint/10462/1/FK_2000_10_A.pdf application/pdf en public masters Universiti Putra Malaysia Elliptic functions Hyperbola Faculty of Engineering Basri, ShahNor English
institution	Universiti Putra Malaysia
collection	PSAS Institutional Repository
language	English English
advisor	Basri, ShahNor
topic	Elliptic functions Hyperbola
spellingShingle	Elliptic functions Hyperbola Asmuin, Norzelawati Development of Elliptic and Hyperbolic Grid Generation
description	It has been found that partial differential equations (PDE's) could be used to efficiently generate high quality structured grids. The grid discretizes the physical domain to computational domain, typically an array data structure in Fortran. This study concentrates on elliptic and hyperbolic methods for structured grid generation. The elliptic method uses the Laplace equations to transfonn the physical domain to computational domain and finite difference to generate the grids. Whereas, the hyperbolic method uses orthogonal relations to solve the PDE's, a marching scheme to create the grids and then cubic spline interpolations to smoothen grid lines at the boundaries. C-type and O-type elliptic and hyperbolic grids have been generated for an airfoil and smooth boundary conditions were obtained in the elliptic method but not by the hyperbolic method.
format	Thesis
qualification_level	Master's degree
author	Asmuin, Norzelawati
author_facet	Asmuin, Norzelawati
author_sort	Asmuin, Norzelawati
title	Development of Elliptic and Hyperbolic Grid Generation
title_short	Development of Elliptic and Hyperbolic Grid Generation
title_full	Development of Elliptic and Hyperbolic Grid Generation
title_fullStr	Development of Elliptic and Hyperbolic Grid Generation
title_full_unstemmed	Development of Elliptic and Hyperbolic Grid Generation
title_sort	development of elliptic and hyperbolic grid generation
granting_institution	Universiti Putra Malaysia
granting_department	Faculty of Engineering
publishDate	2000
url	http://psasir.upm.edu.my/id/eprint/10462/1/FK_2000_10_A.pdf
_version_	1804888541431332864

Development of Elliptic and Hyperbolic Grid Generation

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