Results 71 to 80 of about 1,838,692 (271)
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 +2 more
doaj +1 more source
Asymptotic formulas for a scalar linear delay differential equation
The linear delay differential equation $$ x'(t)=p(t)x(t-r) $$ is considered, where $r>0$ and the coefficient $p:[t_0,\infty)\to\mathbb{R}$ is a continuous function such that $p(t)\to0$ as $t\to\infty$. In a recent paper [M. Pituk, G. Röst, Bound.
István Győri, Mihály Pituk
doaj +1 more source
Control and Optimization of Interfacial Flows Using Adjoint-Based Techniques
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
doaj +1 more source
On the singular continuous spectrum of self-adjoint extensions
Let \(H\) be a closed symmetric operator in the Hilbert space \({\mathcal H}\) with gap \(J\) and infinite deficiency indices. Given any open subset \(J_0\) of \(J\) we shall give explicitly a selfadjoint extension \(\widetilde {H}\) of \(H\) such that up to some discrete spectrum the spectrum of \(\widetilde {H}\) within the gap \(J\) of \(H\) is ...
Brasche, Johannes, Neidhardt, Hagen
openaire +3 more sources
Adjoint Algorithms for the Optimization of 3d Turbulent Configurations [PDF]
The solution of the discrete adjoint equations for an unstructured finite volume compressible Navier-Stokes solver is discussed. In previous work fixedpoint iterations taken from the non-linear method - suitably adjointed - were applied to the adjoint ...
Brezillon, Joel, Dwight, Richard
core
Quantization of Polaritons Confined in Dielectric Structures
This study addresses the limitations of the Hopfield model of strong light‐matter coupling in the case of structured dieletrics. A method to derive quantum models in the polariton basis using Bogoliubov transformation and third quantization is introduced, demonstrating how to boost interaction strength and engineer nonlocal interactions for strongly ...
Amir Rahmani +4 more
wiley +1 more source
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
On the boundary value problem for the loaded parabolic equations with irregular coefficients
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
Efficient Algorithms for Solution of the Adjoint Compressible Navier-Stokes Equations with Applications [PDF]
The complete discrete adjoint equations for an unstructured finite volume compressible Navier-Stokes solver are discussed with respect to the memory and time efficient evaluation of their residuals, and their solution.
Brezillon, Joel +2 more
core
Multifunctionality in Silicon Photonics Through Temperature‐Driven Inverse Design
Temperature‐conditioned inverse design embeds thermo‐optic reconfigurability directly into compact silicon photonic devices. By co‐optimizing a single geometry at 300 K (T1) and 520 K (T2), the same structure supports distinct optical functions, enabling experimentally verified switching and mode conversion without resonant architectures or additional ...
Berkay Neseli +8 more
wiley +1 more source

