Parametrization-independent elliptic surface grid generation
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2009.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2011
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| Online Access: | http://hdl.handle.net/1721.1/62972 |
| _version_ | 1826217554039799808 |
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| author | Rasmussen, Britt Bille |
| author2 | Mark Drela. |
| author_facet | Mark Drela. Rasmussen, Britt Bille |
| author_sort | Rasmussen, Britt Bille |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2009. |
| first_indexed | 2024-09-23T17:05:30Z |
| format | Thesis |
| id | mit-1721.1/62972 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T17:05:30Z |
| publishDate | 2011 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/629722019-04-12T21:43:27Z Parametrization-independent elliptic surface grid generation Rasmussen, Britt Bille Mark Drela. Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Massachusetts Institute of Technology. Dept. of Aeronautics and Astronautics. Aeronautics and Astronautics. Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2009. Cataloged from PDF version of thesis. Includes bibliographical references (p. 83). The generation of computational grids on surfaces of three-dimensional configurations is an important component of many areas of computational research, both as a boundary grid for volume grid generation or to perform computations on the surface. For reasons of computational efficiency, structured grids remain widely used in areas such as the computation of aerodynamic flows. Elliptic grid generation is the leading structured grid generation method and creates high-quality grids for simple geometries. However, when applied to surfaces in three dimensions, problems are encountered among other things with the redistribution of grid nodes that need to remain on the surface and with maintaining the high quality of the grid. The present work introduces a new approach to elliptic surface grid generation which is based on intrinsic properties of the surface and not the parameterization that describes the surface. Previous work has based the surface grid generator on the parametric space of the specific surface parameterization at hand, but this often leads to low-quality grids, specifically for surfaces with large variations in curvature. This work aims to address this issue by developing a method which performs elliptic smoothing on an initial grid created using any parameterization, but redistributes the grid nodes according to their location in physical space, as opposed to in parametric space. This ensures that the final grid will always be of high quality in the physical space. Furthermore, a set of control functions which control grid lines and node bunching over the surface are developed. To be consistent with the parameterization independent elliptic method, these functions are to be based on intrinsic properties of the surface. In the approach proposed here, we specifically use the curvatures in the directions of the grid lines and the length of the grid lines. by Britt Bille Rasmussen. S.M. 2011-05-23T17:55:14Z 2011-05-23T17:55:14Z 2009 2009 Thesis http://hdl.handle.net/1721.1/62972 719498691 eng M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. http://dspace.mit.edu/handle/1721.1/7582 83 p. application/pdf Massachusetts Institute of Technology |
| spellingShingle | Aeronautics and Astronautics. Rasmussen, Britt Bille Parametrization-independent elliptic surface grid generation |
| title | Parametrization-independent elliptic surface grid generation |
| title_full | Parametrization-independent elliptic surface grid generation |
| title_fullStr | Parametrization-independent elliptic surface grid generation |
| title_full_unstemmed | Parametrization-independent elliptic surface grid generation |
| title_short | Parametrization-independent elliptic surface grid generation |
| title_sort | parametrization independent elliptic surface grid generation |
| topic | Aeronautics and Astronautics. |
| url | http://hdl.handle.net/1721.1/62972 |
| work_keys_str_mv | AT rasmussenbrittbille parametrizationindependentellipticsurfacegridgeneration |