wang2017energetically.bib

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@inproceedings{wang2017energetically,
  abstract = {This work introduces a fully discrete, high-order numerical framework for solving PDE- constrained optimization problems using gradient-based methods in the case where one or more of the optimization parameters affects the time domain; a canonical example being optimization of the frequency of a flapping wing. In a fully discrete setting, this effective parametrization of the time domain leads to a parametrization of the time discretization, e.g., to maintain a fixed number of timesteps per period, the timestep size is parameter- dependent. Gradients of quantities of interest in this work are computed using the adjoint method, which must take into account the parametric dependence of the time discretiza- tion. As this work considers energetically optimal flight, a globally high-order discretization of conservation laws on deforming domains is employed: an Arbitrary Lagrangian-Eulerian formulation maps the conservation law to a fixed reference domain and a high-order dis- continuous Galerkin method and diagonally implicit Runge-Kutta method are used for the spatial and temporal discretizations. This framework is applied to study energetically optimal flapping subject to a minimum required thrust, including frequency and pitch- ing/heaving trajectories as optimization parameters. This marks a distinct departure from other adjoint-based approaches to optimal flapping that fix the frequency.
},
  address = {Denver, Colorado},
  author = {Wang, Jingyi and Zahr, Matthew J. and Persson, Per-Olof},
  booktitle = {Proc. of the 23rd AIAA Computational Fluid Dynamics Conference},
  date-added = {2017-02-08 06:18:55 +0000},
  date-modified = {2017-12-16 09:28:03 +0000},
  link = {https://arc.aiaa.org/doi/abs/10.2514/6.2017-4412},
  organization = {American Institute of Aeronautics and Astronautics},
  paper = {content/papers/wang2017energetically.pdf},
  project = {dgopt:freq},
  title = {Energetically optimal flapping flight based on a fully discrete adjoint method with explicit treatment of flapping frequency},
  year = {6/5/2017 -- 6/9/2017}
}

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