The continuous adjoint method as a guide for the design of flow control systems based on jets
Engineering Computations, 2013PurposeThe purpose of this paper is to propose the use of the continuous adjoint method as a tool to identify the appropriate location and “type” (suction or blowing) of steady jets used in active flow control systems.Design/methodology/approachThe method is based on continuous adjoint and covers both internal and external aerodynamics.
C Othmer +2 more
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Field inversion for transitional flows using continuous adjoint methods
Physics of Fluids, 2022Transition modeling represents one of the key challenges in computational fluid dynamics. While numerical efforts were traditionally devoted to either improving Reynolds-averaged Navier–Stokes-based turbulence modeling or developing scale-resolving simulations, cautious attention has been recently given to field inversion and machine learning ...
Ahmed M. Hafez +2 more
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Continuous adjoint method for Air Traffic Flow Management
Proceedings of the 45th IEEE Conference on Decision and Control, 2006This article develops a model of Air Traffic Flow using an Eulerian description with hyperbolic partial differential equations. Existence and uniqueness (well-posedness) of a solution to the system of partial differential equations on a network is established. Subsequently, an optimal control problem is studied with the junction coefficients as control
Issam S. Strub, Alexandre M. Bayen
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On the use of the continuous adjoint method to compute nongeometric sensitivities
International Journal for Numerical Methods in Fluids, 2017SummaryThis work explores an alternative approach to computing sensitivity derivatives of functionals, with respect to a broader range of control parameters. It builds upon the complementary character of Riemann problems that describe the Euler flow and adjoint solutions. In a previous work, we have discussed a treatment of the adjoint boundary problem,
M. T. Hayashi, E. V. Volpe, M. A. Ceze
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On the proper treatment of grid sensitivities in continuous adjoint methods for shape optimization
Journal of Computational Physics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
I. S. Kavvadias +2 more
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An Adjoint State Method for Numerical Approximation of Continuous Traffic Congestion Equilibria
Communications in Computational Physics, 2011Summary: The equilibrium metric for minimizing a continuous congested traffic model is the solution of a variational problem involving geodesic distances. The continuous equilibrium metric and its associated variational problem are closely related to the classical discrete Wardrop's equilibrium.
Luo, Songting +2 more
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The continuous adjoint cut-cell method for shape optimization in cavitating flows
Computers & Fluids, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Vrionis, P. Y. +2 more
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The Unsteady Continuous Adjoint Method Assisted by the Proper Generalized Decomposition Method
2018In adjoint-based optimization for unsteady flows, the adjoint PDEs must be integrated backwards in time and, thus, the primal field solution should be available at each and every time-step. There are several ways to overcome the storage of the entire unsteady flow field which becomes prohibitive in large scale simulations.
V. S. Papageorgiou +2 more
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A Continuous Adjoint Method for the Minimization of Losses in Cascade Viscous Flows
44th AIAA Aerospace Sciences Meeting and Exhibit, 2006A continuous adjoint formulation for the minimization of viscous losses in laminar cascade flows is presented. The losses are expressed in terms of entropy generation due to the boundary layer formation and development. The minimization of the entropy difference between the inlet to and outlet from the flow domain results from the minimization of a ...
Dimitrios Papadimitriou +1 more
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The Time-Domain Continuous Adjoint Method
2010The adjoint method is a mathematical tool that allows us to compute the gradient of an objective functional with respect to the model parameters very efficiently. In this chapter we derive a general formulation of the adjoint method that is independent of a particular physical problem.
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