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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| 格式: | Thesis |
| 语言: | English English |
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2000
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| 在线阅读: | http://psasir.upm.edu.my/id/eprint/10462/1/FK_2000_10_A.pdf |
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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 |