Three-Dimensional Large-Scale Aerodynamic Shape Optimization Based on Shape Calculus
Large-scale three-dimensional aerodynamic shape optimization based on the compressible Euler equations is considered. Shape calculus is used to derive an exact surface formulation of the gradients, enabling the computation of shape gradient information for each surface mesh node without having to ca...
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| Veröffentlicht in: | AIAA journal 2013-11, Vol.51 (11), p.2615-2627 |
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| creator | Schmidt, Stephan Ilic, Caslav Schulz, Volker Gauger, Nicolas R |
| description | Large-scale three-dimensional aerodynamic shape optimization based on the compressible Euler equations is considered. Shape calculus is used to derive an exact surface formulation of the gradients, enabling the computation of shape gradient information for each surface mesh node without having to calculate further mesh sensitivities. Special attention is paid to the applicability to large-scale three dimensional problems like the optimization of an Onera M6 wing or a complete blended-wing–body aircraft. The actual optimization is conducted in a one-shot fashion, in which the tangential Laplace operator is used as a Hessian approximation, thereby also preserving the regularity of the shape. |
| doi_str_mv | 10.2514/1.J052245 |
| format | Article |
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Shape calculus is used to derive an exact surface formulation of the gradients, enabling the computation of shape gradient information for each surface mesh node without having to calculate further mesh sensitivities. Special attention is paid to the applicability to large-scale three dimensional problems like the optimization of an Onera M6 wing or a complete blended-wing–body aircraft. 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Shape calculus is used to derive an exact surface formulation of the gradients, enabling the computation of shape gradient information for each surface mesh node without having to calculate further mesh sensitivities. Special attention is paid to the applicability to large-scale three dimensional problems like the optimization of an Onera M6 wing or a complete blended-wing–body aircraft. 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| ispartof | AIAA journal, 2013-11, Vol.51 (11), p.2615-2627 |
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| source | Alma/SFX Local Collection |
| subjects | Aerodynamics Aerospace engineering Air transportation and traffic Applied fluid mechanics Applied sciences Blended-Wing-Body aircraft Calculus Compressibility Computer graphics Euler-Lagrange equation Exact sciences and technology Fluid dynamics Fundamental areas of phenomenology (including applications) Ground, air and sea transportation, marine construction Mathematical analysis Optimization Physics Shape optimization Three dimensional Wings (aircraft) |
| title | Three-Dimensional Large-Scale Aerodynamic Shape Optimization Based on Shape Calculus |
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