A fully discrete adjoint method for optimization of flow problems on deforming domains with time-periodicity constraints

DOI10.1016/j.compfluid.2016.05.021zbMath1390.76380arXiv1512.00616OpenAlexW2262424486MaRDI QIDQ1647107

Per-Olof Persson, Jon Wilkening, Matthew J. Zahr

Publication date: 26 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.00616

zbMATH Keywords

time-periodic solutionsshooting methodsPDE-constrained optimizationenergetically optimal flapping flightfully discrete adjoint equationstime-periodicity constraints

Mathematics Subject Classification ID

Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Biopropulsion in water and in air (76Z10) Numerical methods for stiff equations (65L04)

Related Items (6)

Non-intrusive model reduction of large-scale, nonlinear dynamical systems using deep learning ⋮ An optimization framework for the computation of time-periodic solutions of partial differential equations ⋮ Staged Construction of Adjoints for Constrained Optimization of Integro-Differential Boundary-Value Problems ⋮ An adjoint method for a high-order discretization of deforming domain conservation laws for optimization of flow problems ⋮ Efficient Approximation of Flow Problems With Multiple Scales in Time ⋮ Sensitivity Analysis of Chaotic Systems Using Unstable Periodic Orbits

Uses Software

• L-BFGS-B
• SNOPT
• L-BFGS
• LBFGS-B

Cites Work

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