Results 21 to 30 of about 2,483 (203)
Control and Optimization of Interfacial Flows Using Adjoint-Based Techniques
Fluids, 2020 The applicability of adjoint-based gradient computation is investigated in the context of interfacial flows. Emphasis is set on the approximation of the transport of a characteristic function in a potential flow by means of an algebraic volume-of-fluid ...
Alexandru Fikl +2 more
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On one condition of absolutely continuous spectrum for self-adjoint operators and its applications [PDF]
Opuscula Mathematica, 2018 In this work the method of analyzing of the absolutely continuous spectrum for self-adjoint operators is considered. For the analysis it is used an approximation of a self-adjoint operator \(A\) by a sequence of operators \(A_n\) with absolutely ...
Eduard Ianovich
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Comparison of Direct and Adjoint k and α-Eigenfunctions
Journal of Nuclear Engineering, 2021 Modal expansions based on k-eigenvalues and α-eigenvalues are commonly used in order to investigate the reactor behaviour, each with a distinct point of view: the former is related to fission generations, whereas the latter is related to time. Well-known
Vito Vitali +4 more
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Shape Optimization of a Two-Fluid Mixing Device Using Continuous Adjoint
Fluids, 2020 In this paper, the continuous adjoint method is used for the optimization of a static mixing device. The CFD model used is suitable for the flow simulation of the two miscible fluids that enter the device.
Pavlos Alexias +1 more
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On the boundary value problem for the loaded parabolic equations with irregular coefficients
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In the paper we consider the generalized solvability of boundary value problem for the loaded parabolic equations with irregular coefficients. Theorem on unique solvability of the boundary value problem is proved.
M.T. Jenaliyev, A.S. Kassymbekova
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Advances in Mathematical Physics, 2015 Our work is devoted to a class of optimal control problems of parabolic partial differential equations. Because of the partial differential equations constraints, it is rather difficult to solve the optimization problem. The gradient of the cost function
Yuan Wang, Xiaochuan Luo, Sai Li
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Shooting continuous Runge–Kutta method for delay optimal control problems [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we present an efficient method to solve linear time-delay optimal control problems with a quadratic cost function. In this regard, first, by employing the Pontryagin maximum principle to time-delay systems, the original problem is converted
T. Khanbehbin +3 more
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Optimization of Airfoils Using the Adjoint Approach and the Influence of Adjoint Turbulent Viscosity
Computation, 2018 The adjoint approach in gradient-based optimization combined with computational fluid dynamics is commonly applied in various engineering fields. In this work, the gradients are used for the design of a two-dimensional airfoil shape, where the aim is a ...
Matthias Schramm +2 more
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Geometry of Continuous Adjoint Newton's Method for Bivariate Quadratics
Maple TransactionsNewton's method is a classical iterative approach for computing solutions to nonlinear equations. To overcome some of its drawbacks, one often considers a continuous adjoint form of Newton's method. This paper investigates the geometric structure of the trajectories produced by the continuous adjoint Newton's method for bivariate quadratics, a system ...
Jonathan D. Hauenstein +3 more
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Leaveraging The Continuous Adjoint Method For Industrial Scale Application
, 2015 One of the fastest growing fields in CFD research is adjoint optimization. Adjoint methods are widely used by people in industry to optimize their products. Drag force minimization of a car, lift force maximization of aeroplanes and minimization of power losses in ducts are some of these optimization problems.
Karpouzas, G.K., +2 more
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