An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems
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- 作者：M.J. Zahra ; mzahr@stanford.edu" class="auth_mail" title="E-mail the corresponding author ; P.-O. Perssonb ; persson@berkeley.edu" class="auth_mail" title="E-mail the corresponding author
- 关键词：Fully discrete adjoint method ; Discontinuous Galerkin methods ; Deforming domain conservation law ; Optimal control ; High-order methods ; PDE-constrained optimization
- 刊名：Journal of Computational Physics
- 出版年：2016
- 出版时间：1 December 2016
- 年：2016
- 卷：326
- 期：Complete
- 页码：516-543
- 全文大小：1602 K
文摘
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Globally high-order discretization of deforming domain PDE (DG-in-space, RK-in-time).
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Solver-consistent integration of quantities of interest ensures globally high-order.
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Derived corresponding fully discrete adjoint equation/method for computing gradients.
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Enables gradient-based optimal control, shape, time-morphed geometries of PDEs
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Energetically optimal time-morphed geometry and control for foil in viscous flow.