A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods
Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2005.
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| Format: | Thesis |
| Language: | eng |
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Massachusetts Institute of Technology
2006
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| Online Access: | http://hdl.handle.net/1721.1/32441 |
| _version_ | 1826205418987192320 |
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| author | Brachet, Jean-Baptiste |
| author2 | Jamie Peraire. |
| author_facet | Jamie Peraire. Brachet, Jean-Baptiste |
| author_sort | Brachet, Jean-Baptiste |
| collection | MIT |
| description | Thesis (S.M.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, 2005. |
| first_indexed | 2024-09-23T13:12:50Z |
| format | Thesis |
| id | mit-1721.1/32441 |
| institution | Massachusetts Institute of Technology |
| language | eng |
| last_indexed | 2024-09-23T13:12:50Z |
| publishDate | 2006 |
| publisher | Massachusetts Institute of Technology |
| record_format | dspace |
| spelling | mit-1721.1/324412019-04-12T21:48:30Z A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods Brachet, Jean-Baptiste Jamie Peraire. 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, 2005. Includes bibliographical references (p. 69-70). In order to improve the performance of higher-order Discontinuous Galerkin finite element solvers, a shock capturing procedure has been developed for hyperbolic equations. The Dynamic Multiscale Viscosity method, originally presented by Oberai and Wanderer [8, 9] in a Fourier Galerkin context, is adapted to the Discontinuous Galerkin discretization. The notions of diffusive model term, artificial viscosities, and the Germano identity are introduced. A general technique for the evaluation of the multiscale model term's parameters is then presented. This technique is used to perform efficient shock capturing on an one-dimensional stationary Burgers' equation with 1-parameter and 2-parameter model terms. Corresponding numerical results are shown. by Jean-Baptiste Brachet. S.M. 2006-03-29T18:44:50Z 2006-03-29T18:44:50Z 2005 2005 Thesis http://hdl.handle.net/1721.1/32441 61719326 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 70 p. 2291402 bytes 2293830 bytes application/pdf application/pdf application/pdf Massachusetts Institute of Technology |
| spellingShingle | Aeronautics and Astronautics. Brachet, Jean-Baptiste A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods |
| title | A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods |
| title_full | A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods |
| title_fullStr | A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods |
| title_full_unstemmed | A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods |
| title_short | A dynamic multiscale viscosity algorithm for shock capturing in Runge Kutta Discontinuous Galerkin methods |
| title_sort | dynamic multiscale viscosity algorithm for shock capturing in runge kutta discontinuous galerkin methods |
| topic | Aeronautics and Astronautics. |
| url | http://hdl.handle.net/1721.1/32441 |
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