shi2022hoist.bib

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@incollection{shi2022hoist,
  abstract = {A globally high-order numerical discretization of time-dependent conservation laws on deforming domains, and the corresponding fully discrete adjoint method, is reviewed and applied to determine energetically optimal flapping wing motions subject to aerodynamic constraints using a reduced space PDE-constrained optimization framework. The conservation law on a deforming domain is transformed to one on a fixed domain and discretized in space using a high- order discontinuous Galerkin method. An efficient, high-order temporal discretization is achieved using diagonally implicit Runge-Kutta schemes. Quantities of interest, such as the total energy required to complete a flapping cycle and the integrated forces produced on the wing, are discretized in a solver-consistent way, that is, via the same spatio- temporal discretization used for the conservation law. The fully discrete adjoint method is used to compute discretely consistent gradients of the quantities of interest and passed to a black-box, gradient-based nonlinear optimization solver. This framework successfully determines an energetically optimal flapping trajectory such that the net thrust of the wing is zero to within 9 digits after only 12 optimization iterations.},
  author = {Shi, Andrew and Persson, Per-Olof and Zahr, Matthew J.},
  booktitle = {Mesh Generation and Adaptation: Cutting-Edge Techniques},
  contribution = {conceptualization (AS, PP, MJZ); methodology, software, writing - original (AS, MJZ); writing - edit/review (PP); supervision (MJZ)},
  corauthor = {Persson, Per-Olof},
  date-added = {2020-12-04 18:24:10 -0500},
  date-modified = {2022-08-14 10:44:55 -0400},
  doi = {10.1007/978-3-030-92540-6_11},
  editor = {Sevilla, Rub{\'e}n and Perotto, Simona and Morgan, Kenneth},
  isbn = {978-3-030-92540-6},
  pages = {233--259},
  project = {shktrk},
  publisher = {Springer International Publishing},
  title = {High-Order Implicit Shock Tracking ({HOIST})},
  url = {https://doi.org/10.1007/978-3-030-92540-6_11},
  year = {2022},
  bdsk-url-1 = {https://doi.org/10.1007/978-3-030-92540-6_11}
}

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