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The widespread use of optimization methods in the design phase of District Heating Networks is currently limited by the availability of scalable optimization approaches that accurately represent the network. In this paper, we compare and…

最优化与控制 · 数学 2023-06-13 Yannick Wack , Sylvain Serra , Martine Baelmans , Jean-Michel Reneaume , Maarten Blommaert

This article presents a new finite element method for convection-diffusion equations by enhancing the continuous finite element space with a flux space for flux approximations that preserve the important mass conservation locally on each…

数值分析 · 数学 2017-10-24 Yujie Liu , Junping Wang , Qingsong Zou

At elevated temperature environments, elastic structures experience a change of the stress-free state of the body that can strongly influence the optimal topology of the structure. This work presents level-set based topology optimization of…

计算工程、金融与科学 · 计算机科学 2020-02-19 Hayoung Chung , Oded Amir , H. Alicia Kim

Radiant spherical suspensions have an $\veps$-periodic distribution in a tridimensional incompressible viscous fluid governed by the Stokes-Boussinesq system. We perform the homogenization procedure when the radius of the solid spheres is…

偏微分方程分析 · 数学 2007-05-23 F. Benthala , I. Gruais , D. Polisevski

This paper is concerned with topology optimization based on a level set method using (doubly) nonlinear diffusion equations. Topology optimization using the level set method is called level set-based topology optimization, which is possible…

最优化与控制 · 数学 2023-03-22 Tomoyuki Oka , Takayuki Yamada

In this paper we present a mixed projection- and density-based topology optimization approach. The aim is to combine the benefits of both parametrizations: the explicit geometric representation provides specific controls on certain design…

计算工程、金融与科学 · 计算机科学 2019-10-09 Nicolò Pollini , Oded Amir

This article provides a reduced-order modelling framework for turbulent compressible flows discretized by the use of finite volume approaches. The basic idea behind this work is the construction of a reduced-order model capable of providing…

流体动力学 · 物理学 2024-05-31 Matteo Zancanaro , Valentin Nkana Ngan , Giovanni Stabile , Gianluigi Rozza

We present a robust optimisation framework for computing invariant solutions of wall-bounded flows by recasting the Navier-Stokes equations as a variational problem as established in Ashtari and Schneider, JFM (2023). The approach minimises…

流体动力学 · 物理学 2026-04-14 Thomas Burton , Sean Symon , Davide Lasagna

This work presents an efficient method to solve a class of continuous-time, continuous-space stochastic optimal control problems of robot motion in a cluttered environment. The method builds upon a path integral representation of the…

系统与控制 · 计算机科学 2016-03-10 Jung-Su Ha , Han-Lim Choi

Shape optimization with constraints given by partial differential equations (PDE) is a highly developed field of optimization theory. The elegant adjoint formalism allows to compute shape gradients at the computational cost of a further PDE…

最优化与控制 · 数学 2023-03-03 Matthias Bolten , Onur Tanil Doganay , Hanno Gottschalk , Kathrin Klamroth

A new approach for generating stress-constrained topological designs in continua is presented. The main novelty is in the use of elasto-plastic modeling and in optimizing the design such that it will exhibit a linear-elastic response. This…

计算工程、金融与科学 · 计算机科学 2016-08-25 Oded Amir

This paper presents a density-based topology optimization method for designing 3D thin-walled structures with adaptive meshing. Uniform wall thickness is achieved by simultaneously constraining the minimum and maximum feature sizes using…

计算工程、金融与科学 · 计算机科学 2019-08-29 Yuqing Zhou , Tsuyoshi Nomura , Ercan M. Dede , Kazuhiro Saitou

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

计算物理 · 物理学 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora

In this paper, we design real-time decentralized and distributed control schemes for Heating Ventilation and Air Conditioning (HVAC) systems in energy efficient buildings. The control schemes balance user comfort and energy saving, and are…

系统与控制 · 计算机科学 2017-02-14 Xuan Zhang , Wenbo Shi , Bin Yan , Ali Malkawi , Na Li

Modeling transition-continuum hypersonic flows poses significant challenges due to thermodynamic nonequilibrium and the associated breakdown of the continuum assumption. Standard continuum models such as the Navier-Stokes equations are…

流体动力学 · 物理学 2025-06-18 Mikolaj Kryger , Jonathan F. MacArt

The need for optimized structures with good mechanical performance for the minimum weight is common in industry. Solid Isotropic Material with Penalization (SIMP) is a Topology Optimization (TO) method offering a trade-off between minimum…

This work extends force coupling in the topology optimization of fluid-structure interaction problems from hydrostatic to total stresses through the inclusion of viscous stress components. The superconvergent patch recovery technique is…

数值分析 · 数学 2023-05-10 Mohamed Abdelhamid , Aleksander Czekanski

The swimming of a deformable planar slab in a viscous incompressible fluid is studied on the basis of the Navier-Stokes equations. A continuum of plane wave displacements, symmetric on both sides of the slab and characterized by a…

流体动力学 · 物理学 2016-11-08 B. U. Felderhof

The paper extends a stabilized fictitious domain finite element method initially developed for the Stokes problem to the incompressible Navier-Stokes equations coupled with a moving solid. This method presents the advantage to predict an…

数值分析 · 数学 2017-07-12 Sébastien Court , Michel Fournié

A sensitive porosity adjoint method (SPAM) for optimizing the topology of fluid machines has been proposed. A sensitivity function with respect to the porosity has been developed. In the first step of the optimization process, porous media…

流体动力学 · 物理学 2015-12-29 B. Philippi , Y. Jin