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The surge of activity in the resolution of fine scale features in the field of earth sciences over the past decade necessitates the development of robust yet simple algorithms that can tackle the various drawbacks of in silico models…

Numerical Analysis · Mathematics 2021-07-27 Saumik Dana

Situations where a spontaneous process of energy or matter transfer is enhanced by an external device are widespread in nature (human sweating system, enzyme catalysis, facilitated diffusion across bio-membranes, industrial heat…

Statistical Mechanics · Physics 2010-07-21 Karen Hovhannisyan , Armen E. Allahverdyan

Maintaining a comfortable temperature inside a building requires appropriate thermal insulation of windows, which can be optimised iteratively with numerical simulation. Smoothed particle hydrodynamics(SPH) is a fully Lagrangian method…

Computational Engineering, Finance, and Science · Computer Science 2025-01-16 Haotian Ji , Dong Wu , Chi Zhang , Xiangyu Hu

This work presents an efficient numerical method based on spectral expansions for simulation of heat and moisture diffusive transfers through multilayered porous materials. Traditionally, by using the finite-difference approach, the problem…

Computational Engineering, Finance, and Science · Computer Science 2020-02-20 Suelen Gasparin , Denys Dutykh , Nathan Mendes

This paper presents a multiscale methodology for efficient unsteady conjugate heat transfer simulations. The solid domain is modelled by coupling a global representation of the temperature field, based on the eigenfunctions of the unsteady…

Computational Physics · Physics 2025-07-31 Yann Dreze , Muting Hao , Luca di Mare

This paper presents a novel methodology for fast simulation and analysis of transient heat transfer. The proposed methodology is suitable for real-time applications owing to (i) establishing the solution method from the viewpoint of…

Computational Engineering, Finance, and Science · Computer Science 2021-12-30 Jinao Zhang , Sunita Chauhan

Array-like collection data structures are widely established in Python's scientific computing-ecosystem for high-performance computations. The structure maps well to regular, gridded lattice structures that are common to computational…

Computational Physics · Physics 2021-05-04 Christian Kehl , Erik van Sebille , Angus Gibson

This paper presents a method of performing topology optimisation of transient heat conduction problems using the parallel-in-time method Parareal. To accommodate the adjoint analysis, the Parareal method was modified to store intermediate…

Computational Engineering, Finance, and Science · Computer Science 2024-12-02 Magnus Appel , Joe Alexandersen

Accurate analytical and numerical modeling of multiscale systems is a daunting task. The need to properly resolve spatial and temporal scales spanning multiple orders of magnitude pushes the limits of both our theoretical models as well as…

Numerical Analysis · Mathematics 2023-09-18 Yinuo Noah Yao , Perry Harabin , Morad Behandish , Ilenia Battiato

By controlling in real-time the variance of the radiation pressure exerted on an optically trapped microsphere, we engineer temperature protocols that shortcut thermal relaxation when transferring the microsphere from one thermal…

We study thermal processes in infinite harmonic crystals having a unit cell with arbitrary number of particles. Initially particles have zero displacements and random velocities, corresponding to some initial temperature profile. Our main…

Statistical Mechanics · Physics 2019-06-24 Vitaly A. Kuzkin

Linear programming is used as a standard tool for optimising unit commitment or power flows in energy supply systems. For heat supply systems, however, it faces a relevant limitation: For them, energy yield depends on the output…

Leveraging the latent heat of phase change materials (PCMs) can reduce the peak temperatures and transient variations in temperature in electronic devices. But as the power levels increase, the thermal conduction pathway from the heat…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Meghavin Bhatasana , Amy Marconnet

Structural system identification in the presence of thermal loads is challenging, as unmeasured or poorly modeled thermal effects can mask or mimic damage, leading to unreliable conclusions. This work presents an optimization-driven,…

Optimization and Control · Mathematics 2026-03-11 Talhah Shamshad Ali Ansari , Suneth Warnakulasuriya , Ihar Antonau , Harbir Antil , Rainald Löhner , Roland Wüchner

Proper heat transfer management is important to key electronic components in microelectronic applications. Pulsating heat pipes (PHP) can be an efficient solution to such heat transfer problems. However, mathematical modelling of a PHP…

Optimization and Control · Mathematics 2014-04-01 Xin-She Yang , Mehmet Karamanoglu , Tao Luan , Slawomir Koziel

Heat conduction is quite common in natural, industrial, and military applications. In this work, the updated Lagrangian particle hydrodynamics (ULPH) theory, is utilized and applied to solve heat conduction problems. Since heat conduction…

Fluid Dynamics · Physics 2025-03-31 Junsong Xiong , Zhen Wang , Xin Lai , Lisheng Liu , Xiang Liu

We propose a fluid-based topology optimization methodology for convective heat-transfer problems that can manage an extensive number of design variables, enabling the fine geometric features required for the next generation of…

A technique is presented for the design of printed unit cells in aperiodic metasurface environments. The method begins with a solved matrix equation governing electromagnetic scattering from a homogenized metasurface design. The matrix…

Applied Physics · Physics 2023-06-21 Jordan Budhu , Nicholas Ventresca , Anthony Grbic

Optimization of functionally graded metamaterial arrays with a high dimensional and continuous geometric design space is cumbersome and could be accelerated via machine learning tools. Mechanical metamaterials can manipulate acoustic or…

In statistical physics, the efficiency of tempering approaches strongly depends on ingredients such as the number of replicas $R$, reliable determination of weight factors and the set of used temperatures, ${\mathcal T}_R = \{T_1, T_2,…

Statistical Mechanics · Physics 2014-09-01 A. Valentim , M. G. E. da Luz , Carlos E. Fiore