On the limits of operator splitting: numerical experiments for the complex Burgers equation
Abstract: "A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one- dimensional testproblems [sic] the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however,...
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| Main Author: | |
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| Format: | Book |
| Language: | English |
| Published: |
Berlin
1991
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| Series: | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report
1991,3 |
| Subjects: | |
| Summary: | Abstract: "A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one- dimensional testproblems [sic] the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however, large numerical oscillations are introduced when discontinuities traveling obliquely to the grid directions are present. These oscillations are caused by a Strang-type operator splitting, and cannot be eliminated using flux limiters or small timesteps." |
| Physical Description: | 30 S. |
Staff View
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| 100 | 1 | |a Noelle, Sebastian |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a On the limits of operator splitting |b numerical experiments for the complex Burgers equation |c Sebastian W. C. Noelle |
| 264 | 1 | |a Berlin |c 1991 | |
| 300 | |a 30 S. | ||
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| 490 | 1 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |v 1991,3 | |
| 520 | 3 | |a Abstract: "A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one- dimensional testproblems [sic] the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however, large numerical oscillations are introduced when discontinuities traveling obliquely to the grid directions are present. These oscillations are caused by a Strang-type operator splitting, and cannot be eliminated using flux limiters or small timesteps." | |
| 650 | 4 | |a Computer graphics | |
| 650 | 4 | |a Numerical analysis | |
| 830 | 0 | |a Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |v 1991,3 |w (DE-604)BV005567559 |9 1991,3 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002703993 | ||
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| id | DE-604.BV004354178 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:11:51Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002703993 |
| oclc_num | 25422148 |
| open_access_boolean | |
| owner | DE-12 |
| owner_facet | DE-12 |
| physical | 30 S. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| record_format | marc |
| series | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |
| series2 | Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report |
| spelling | Noelle, Sebastian Verfasser aut On the limits of operator splitting numerical experiments for the complex Burgers equation Sebastian W. C. Noelle Berlin 1991 30 S. txt rdacontent n rdamedia nc rdacarrier Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 1991,3 Abstract: "A high resolution Godunov-type method is developed and applied to a two-dimensional version of the Burgers equation. On one- dimensional testproblems [sic] the scheme is second order accurate for smooth flow and resolves discontinuities sharply. On two-dimensional problems, however, large numerical oscillations are introduced when discontinuities traveling obliquely to the grid directions are present. These oscillations are caused by a Strang-type operator splitting, and cannot be eliminated using flux limiters or small timesteps." Computer graphics Numerical analysis Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report 1991,3 (DE-604)BV005567559 1991,3 |
| spellingShingle | Noelle, Sebastian On the limits of operator splitting numerical experiments for the complex Burgers equation Konrad-Zuse-Zentrum für Informationstechnik <Berlin>: Technical report Computer graphics Numerical analysis |
| title | On the limits of operator splitting numerical experiments for the complex Burgers equation |
| title_auth | On the limits of operator splitting numerical experiments for the complex Burgers equation |
| title_exact_search | On the limits of operator splitting numerical experiments for the complex Burgers equation |
| title_full | On the limits of operator splitting numerical experiments for the complex Burgers equation Sebastian W. C. Noelle |
| title_fullStr | On the limits of operator splitting numerical experiments for the complex Burgers equation Sebastian W. C. Noelle |
| title_full_unstemmed | On the limits of operator splitting numerical experiments for the complex Burgers equation Sebastian W. C. Noelle |
| title_short | On the limits of operator splitting |
| title_sort | on the limits of operator splitting numerical experiments for the complex burgers equation |
| title_sub | numerical experiments for the complex Burgers equation |
| topic | Computer graphics Numerical analysis |
| topic_facet | Computer graphics Numerical analysis |
| volume_link | (DE-604)BV005567559 |
| work_keys_str_mv | AT noellesebastian onthelimitsofoperatorsplittingnumericalexperimentsforthecomplexburgersequation |