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The layout optimization of the heat conduction is essential during design in engineering, especially for thermal sensible products. When the optimization algorithm iteratively evaluates different loading cases, the traditional numerical…

Machine Learning · Computer Science 2022-01-26 Hao Ma , Yang Sun , Mario Chiarelli

A recently developed upscaling technique, the multicontinuum homogenization method, has gained significant attention for its effectiveness in modeling complex multiscale systems. This method defines multiple continua based on distinct…

Numerical Analysis · Mathematics 2025-12-24 Wei Xie , Viet Ha Hoang , Yin Yang , Yunqing Huang

In this paper we propose tools for high-order mesh optimization and demonstrate their benefits in the context of multi-material Arbitrary Lagrangian-Eulerian (ALE) compressible shock hydrodynamic applications. The mesh optimization process…

Numerical Analysis · Mathematics 2021-04-19 Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

Many methods to computationally predict red blood cell damage have been introduced, and among these are Lagrangian methods which track the cells along their pathlines. Such methods typically do not explicitly include cell-cell interactions.…

Fluid Dynamics · Physics 2023-09-22 Grant Rydquist , Mahdi Esmaily

This study presents a computational optimisation framework of a hip implant through the development of a functionally graded biomimetic lattice structure, whose design was structurally optimised to limit stress shielding. The optimisation…

Medical Physics · Physics 2026-01-27 Mahtab Vafaeefar , Conall Quinn , Kevin M. Moerman , Ted J. Vaughan

Many eukaryotic cells use the active waving motion of flexible flagella to self-propel in viscous fluids. However, the criteria governing the selection of particular flagellar waveforms among all possible shapes has proved elusive so far.…

Biological Physics · Physics 2013-08-02 Christophe Eloy , Eric Lauga

The numerical simulation of fluid flow through a complex geometry with heat transfer is of strong interest for many applications, such as oil-filled power transformers. A fundamental challenge here is that high resolution is necessary to…

Computational Physics · Physics 2020-10-19 Ole H. H. Meyer , Karl Yngve Lervåg , Åsmund Ervik

This work presents the implementation, numerical examples and experimental convergence study of first- and second-order optimization methods applied to one-dimensional periodic gratings. Through boundary integral equations and shape…

Optimization and Control · Mathematics 2020-11-04 Rubén Aylwin , Gerardo Silva-Oelker , Carlos Jerez-Hanckes , Patrick Fay

In this study, a smoothed particle hydrodynamics (SPH) model that applies a segment-based boundary treatment is used to simulate natural convection. In a natural convection simulated using an SPH model, the wall boundary treatment is a…

Fluid Dynamics · Physics 2023-11-28 Hyung-Jun Park , Jaekwang Kim , Hyojin Kim

Heat transfer and dissipation exists in almost any physical, chemical or biological systems. Cells, as the basic unit of life, undergo continuous heat transfer and dissipation during their metabolism. The heat transfer and dissipation…

Biological Physics · Physics 2019-01-03 Pei Song , He Gao , Miao Zhang , Fan Yang , Shan-Shan Li , Bin Kang , Jing-Juan Xu , Hong-Yuan Chen

This investigation is motivated by the problem of optimal design of cooling elements in modern battery systems. We consider a simple model of two-dimensional steady-state heat conduction described by elliptic partial differential equations…

Numerical Analysis · Mathematics 2013-07-05 Xiaohui Peng , Katsiaryna Niakhai , Bartosz Protas

In heat transfer augmenting methods such as radial fins, the heat transfer enhancement commonly leads to the drag force increment. In the present paper, slots are inserted over the fins to simultaneously reduce the drag coefficient.…

Fluid Dynamics · Physics 2021-06-16 Haleh Soheibi , Zahra Shomali , Jafar Ghazanfarian

This work presents a computational method for the design of architected truss lattice materials where each strut can be made of one of a set of available materials. We design the lattices to extremize effective properties. As customary in…

Computational Engineering, Finance, and Science · Computer Science 2020-04-22 Hesaneh Kazemi , Ashkan Vaziri , Julian A. Norato

Towards integrating renewable electricity generation sources into the grid, an important facilitator is the energy flexibility provided by buildings' thermal inertia. Most of the existing research follows a single-step price- or…

Systems and Control · Electrical Eng. & Systems 2023-12-11 Yun Li , Neil Yorke-Smith , Tamas Keviczky

In simulation of fluid injection in fractured geothermal reservoirs, the characteristics of the physical processes are severely affected by the local occurence of connected fractures. To resolve these structurally dominated processes, there…

Computational Engineering, Finance, and Science · Computer Science 2017-02-21 Anna Nissen , Eirik Keilegavlen , Tor Harald Sandve , Inga Berre , Jan Martin Nordbotten

Heat exchanger network synthesis exploits excess heat by integrating process hot and cold streams and improves energy efficiency by reducing utility usage. Determining provably good solutions to the minimum number of matches is a bottleneck…

Optimization and Control · Mathematics 2018-04-12 Dimitrios Letsios , Georgia Kouyialis , Ruth Misener

We consider shape optimization problems subject to elliptic partial differential equations. In the context of the finite element method, the geometry to be optimized is represented by the computational mesh, and the optimization proceeds by…

Optimization and Control · Mathematics 2019-07-12 Tommy Etling , Roland Herzog , Estefanía Loayza , Gerd Wachsmuth

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

Numerical Analysis · Mathematics 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

Enhanced geothermal systems (EGS) involve strongly coupled, advection-dominated flow and heat transfer in fractured porous media. Conventional models typically assume local thermal equilibrium with a single effective fluid temperature or,…

Numerical Analysis · Mathematics 2026-04-23 Yi-Yung Yang , Sanghyun Lee , Dmitri Kuzmin

Heat exchangers are critical components in a wide range of engineering applications, from energy systems to chemical processing, where efficient thermal management is essential. The design objectives for heat exchangers include maximizing…

Optimization and Control · Mathematics 2025-05-20 Weizheng Zhang , Hao Pan , Lin Lu , Xiaowei Duan , Xin Yan , Ruonan Wang , Qiang Du
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