Gradient-Limiting Shape Optimisation Applied to AIAA ADODG Test Cases

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Without addressing shape smoothness, gradient-based optimisation methods naturally am-plify high-frequency shape components which can lead to poor convergence of the optimisation problem and a convergence rate exhibiting dependency on the fidelity of shape-control. Recent work by the authors demonstrated that this problem arises due to the discrete shape problem being ill-posed by naturally including geometries that are invalid both in physicality (shape) and discretisation (mesh), and a new shape control methodology has been developed which addresses this explicitly. The new approach uses two-dimensional control to recover shape-relevant displacements and surface gradient constraints to ensure smooth and valid iterates. The shape gradient constraints, approximating a C2 continuity condition, are derived for two local shape control methods: discrete grid point control and cubic B-Splines. The local control methods provide high-fidelity control whereas the surface constraints exclude non-physical shapes from the design space making the shape problem well-posed. As a result, high-fidelity shape optimisation is possible at a reasonable computational cost. In this paper, further results are presented for the aerodynamic optimisation of two standard test cases defined by the AIAA aerodynamic design optimisation discussion group. A value of 7 drag counts is achieved on the inviscid case and 66 drag counts on the viscous case; to the authors’ knowledge these are the lowest results published for either case.

Original languageEnglish
Title of host publicationAIAA Scitech 2019 Forum
Subtitle of host publication7-11 January 2019, San Diego, California
PublisherAmerican Institute of Aeronautics and Astronautics Inc. (AIAA)
Number of pages18
ISBN (Print)9781624105784
Publication statusPublished - 6 Jan 2019
EventAIAA Scitech Forum, 2019 - San Diego, United States
Duration: 7 Jan 201911 Jan 2019


ConferenceAIAA Scitech Forum, 2019
CountryUnited States
CitySan Diego
Internet address

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