Results 21 to 30 of about 12,528,126 (212)

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, Kyriakos C. Giannakoglou   +1 more
doaj   +1 more source

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
doaj   +1 more source

Optimal Control Method of Parabolic Partial Differential Equations and Its Application to Heat Transfer Model in Continuous Cast Secondary Cooling Zone

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
doaj   +1 more source

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, M. Gachpazan, S. Effati, S.M. Miri   +3 more
doaj   +1 more source

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, Bernhard Stoevesandt, Joachim Peinke   +2 more
doaj   +1 more source

Sensitivity Analysis for Periodic Orbits and Quasiperiodic Invariant Tori Using the Adjoint Method [PDF]

, 2022
This paper presents a rigorous framework for the continuation of solutions to nonlinear constraints and the simultaneous analysis of the sensitivities of test functions to constraint violations at each solution point using an adjoint-based approach.
Dankowicz, Harry, Sieber, Jan, Dankowicz, H, Sieber, J   +3 more
core   +1 more source

The Continuous Classical Optimal Control Problems for Triple Elliptic Partial Differential Equations

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2020
In this paper the Galerkin method is used to prove the existence and uniqueness theorem for the solution of the state vector of the triple linear elliptic partial differential equations for fixed continuous classical optimal control vector.
J. A. Al-Hawasy, Doaa Kateb Jasim
doaj   +1 more source

Freeform Light Routing in Nearly‐Hyperuniform Slabs: Toward a General‐Purpose Design Platform for Integrated Photonics

Advanced Optical Materials, EarlyView.
Nearly hyperuniform disordered photonic slabs guide light along prescribed freeform pathways without relying on lattice symmetry. A pathway‐first design embeds curved channels within a photonic bandgap hyperuniform network, maintaining high transmission through freeform bends.
Timothy Amoah, Ali Vafa, Georgios Gkantzounis, Chenglong Wan, Kapil Debnath, Frédéric Gardès, Milan Milosevic, Weining Man, Marian Florescu   +8 more
wiley   +1 more source

Optimal boundary geometry in an elasticity problem: a systematic adjoint approach [PDF]

, 2009
p. 509-524In different problems of Elasticity the definition of the optimal geometry of the boundary, according to a given objective function, is an issue of great interest.
García-Palacios, Jaime H., SAMARTIN, A., Castro Barbero, Carlos Manuel, GARCIA-PALACIOS, J., CASTRO, C., Samartín, Avelino   +5 more
core  

The Cut-Cell Method for the Conjugate Heat Transfer Topology Optimization of Turbulent Flows Using the “Think Discrete–Do Continuous” Adjoint

Energies
This paper presents a topology optimization (TopO) method for conjugate heat transfer (CHT), with turbulent flows. Topological changes are controlled by an artificial material distribution field (design variables), defined at the cells of a background ...
Nikolaos Galanos, Evangelos M. Papoutsis-Kiachagias, Kyriakos C. Giannakoglou   +2 more
doaj   +1 more source