Improved lift and drag estimates using adjoint Euler equations
This paper demonstrates the use of adjoint error analysis to improve the order of accuracy of integral functionals obtained from CFD calculations. Using second order accurate finite element solutions of the Poisson equation, fourth order accuracy is achieved for two different categories of functiona...
| Main Authors: | , |
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| Format: | Report |
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Unspecified
2000
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| _version_ | 1826288004429250560 |
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| author | Giles, M Pierce, N |
| author_facet | Giles, M Pierce, N |
| author_sort | Giles, M |
| collection | OXFORD |
| description | This paper demonstrates the use of adjoint error analysis to improve the order of accuracy of integral functionals obtained from CFD calculations. Using second order accurate finite element solutions of the Poisson equation, fourth order accuracy is achieved for two different categories of functional in the presence of both curved boundaries and singularities. Similarly, numerical results for the Euler equations obtained using standard second order accurate approximations demonstrate fourth order accuracy for the integrated pressure in two quasi-1D test cases, and a significant improvement in accuracy in a two-dimensional case. This additional accuracy is achieved at the cost of an adjoint calculation similar to those performed for design optimization. |
| first_indexed | 2024-03-07T02:07:11Z |
| format | Report |
| id | oxford-uuid:9f613815-ebb0-4b6f-8d6f-26e7b734190c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:07:11Z |
| publishDate | 2000 |
| publisher | Unspecified |
| record_format | dspace |
| spelling | oxford-uuid:9f613815-ebb0-4b6f-8d6f-26e7b734190c2022-03-27T00:57:15ZImproved lift and drag estimates using adjoint Euler equationsReporthttp://purl.org/coar/resource_type/c_93fcuuid:9f613815-ebb0-4b6f-8d6f-26e7b734190cMathematical Institute - ePrintsUnspecified2000Giles, MPierce, NThis paper demonstrates the use of adjoint error analysis to improve the order of accuracy of integral functionals obtained from CFD calculations. Using second order accurate finite element solutions of the Poisson equation, fourth order accuracy is achieved for two different categories of functional in the presence of both curved boundaries and singularities. Similarly, numerical results for the Euler equations obtained using standard second order accurate approximations demonstrate fourth order accuracy for the integrated pressure in two quasi-1D test cases, and a significant improvement in accuracy in a two-dimensional case. This additional accuracy is achieved at the cost of an adjoint calculation similar to those performed for design optimization. |
| spellingShingle | Giles, M Pierce, N Improved lift and drag estimates using adjoint Euler equations |
| title | Improved lift and drag estimates using adjoint Euler equations |
| title_full | Improved lift and drag estimates using adjoint Euler equations |
| title_fullStr | Improved lift and drag estimates using adjoint Euler equations |
| title_full_unstemmed | Improved lift and drag estimates using adjoint Euler equations |
| title_short | Improved lift and drag estimates using adjoint Euler equations |
| title_sort | improved lift and drag estimates using adjoint euler equations |
| work_keys_str_mv | AT gilesm improvedliftanddragestimatesusingadjointeulerequations AT piercen improvedliftanddragestimatesusingadjointeulerequations |