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A solid system consisting of two heat conducting cylinders with a thermoelectric converter (Peltier element) between them is considered. A nonlinear model, which was previously verified by authors, is used to design a constrained control…

Systems and Control · Electrical Eng. & Systems 2022-06-15 Alexander Gavrikov , Georgy Kostin

A general approach to simulate the mechanical behavior of textile materials by taking into account all their constitutive elementary fibers and contacts between them is presented in this paper. A finite element code, based on an implicit…

Materials Science · Physics 2009-12-08 Damien Durville

Combined heat and power systems facilitate efficient interactions between individual energy sectors for higher renewable energy accommodation. However, the feasibility of operational strategies is difficult to guarantee due to the presence…

Systems and Control · Electrical Eng. & Systems 2021-03-22 Yibao Jiang , Can Wan , Audun Botterud , Yonghua Song , Zhao Yang Dong

In this paper, we describe a mathematical model and a numerical simulation method for the condenser component of a novel two-phase thermosyphon cooling system for power electronics applications. The condenser consists of a set of…

Numerical Analysis · Mathematics 2015-06-19 Riccardo Sacco , Lucia Carichino , Carlo de Falco , Maurizio Verri , Francesco Agostini , Thomas Gradinger

This report describes a mathematical model of heat conduction. The differential equation for heat conduction in one dimensional rod has been derived. The explicit finite difference numerical method is used to solve this differential…

Computational Engineering, Finance, and Science · Computer Science 2021-07-27 Abdul Aziz Momin , Nikhil Shende , Abhijna Anamtatmakula , Emily Ganguly , Ashwin Gurbani , Chaitanya A Joshi , Yogesh Y Mahajan

The inductance/impedance due to thin metallic structures in non-destructive testing (NDT) is difficult to evaluate. In particular, in Finite Element Method (FEM) eddy current simulation, an extremely fine mesh is required to accurately…

Signal Processing · Electrical Eng. & Systems 2019-05-31 Wuliang Yin , Jiawei Tang , Mingyang Lu , Hanyang Xu , Ruochen Huang , Qian Zhao , Zhijie Zhang , Anthony Peyton

Numerical modelling of several coupled passive linear dynamical systems (LDS) is considered. Since such component systems may arise from partial differential equations, transfer function descriptions, lumped systems, measurement data, etc.,…

Optimization and Control · Mathematics 2019-11-12 Juha Kuortti , Jarmo Malinen , Tom Gustafsson

We propose a numerical integrator for the coupled system of the eddy-current equation with the nonlinear Landau-Lifshitz-Gilbert equation. The considered effective field contains a general field contribution, and we particularly cover…

Numerical Analysis · Mathematics 2015-04-24 Kim-Ngan Le , Marcus Page , Dirk Praetorius , Thanh Tran

In this work, we propose a robust approach to design distributed controllers for unknown-but-sparse linear and time-invariant systems. By leveraging modern techniques in distributed controller synthesis and structured linear inverse…

Optimization and Control · Mathematics 2019-10-14 Salar Fattahi , Nikolai Matni , Somayeh Sojoudi

In this paper, the physics informed neural networks (PINNs) is employed for the numerical simulation of heat transfer involving a moving source. To reduce the computational effort, a new training method is proposed that uses a continuous…

Numerical Analysis · Mathematics 2025-06-24 Anirudh Kalyan , Sundararajan Natarajan

We computationally investigate the chronoamperometric current response of spherical and cubic particles on a supporting insulating surface. By using the method of finite differences and random walk simulations, we can show that both systems…

Chemical Physics · Physics 2016-11-25 Enno Kätelhön , Edward O. Barnes , Kay J. Krause , Bernhard Wolfrum , Richard G. Compton

Adaptive methods for derivation of analytical and numerical solutions of heat diffusion in one dimensional thin rod have investigated. Comperhensive comparsion analysis based on the homotopy perturbation method (HPM) and finite difference…

Computational Physics · Physics 2018-07-26 Mehran Makhtoumi

A complete approach for the determination of the complex constitutive behaviour of textile composites through finite element simulation is presented in this paper. In this work, simulations of different loading cases are carried out on…

Soft Condensed Matter · Physics 2008-12-18 Damien Durville

The present study proposes an optimized computational fluid dynamics (CFD) modelling framework to provide a complete and accurate representation of combustion and heat transfer phenomena in the radiation section of an industrial top-fired…

The i-V curve describes the current drawn from a flame as a function of the voltage difference applied across the reaction zone. Since combustion diagnostics and flame control strategies based on electric fields depend on the amount of…

Chemical Physics · Physics 2016-07-20 Jie Han , Memdouh Belhi , Tiernan A. Casey , Fabrizio Bisetti , Hong G. Im , Jyh-Yuan Chen

Hybrid numerical-experimental testing is a standard approach for complex dynamical structures that are, on the one hand, not easy to model due to complexity and parameter uncertainty and, on the other hand, too expensive for full-scale…

Dynamical Systems · Mathematics 2020-03-24 Benjamin Unger

This paper presents a computational model, based on the Finite Element Method (FEM), that simulates the thermal response of laser-irradiated tissue. This model addresses a gap in the current ecosystem of surgical robot simulators, which…

We consider the numerical approximation of acoustic wave propagation in the time domain by a mixed finite element method based on the BDM1-P0 spaces. A mass-lumping strategy for the BDM1 element, originally proposed by Wheeler and Yotov in…

Numerical Analysis · Mathematics 2018-03-13 H. Egger , B. Radu

Application of finite element method and heat conductivity transfer model for calculation of temperature distribution in receiver for dish-Stirling concentrating solar system is described. The method yields discretized equations that are…

Computational Engineering, Finance, and Science · Computer Science 2007-05-23 Stanko Shtrakov , Anton Stoilov

We develop a cut finite element method for a second order elliptic coupled bulk-surface model problem. We prove a priori estimates for the energy and $L^2$ norms of the error. Using stabilization terms we show that the resulting algebraic…

Numerical Analysis · Mathematics 2014-03-27 Erik Burman , Peter Hansbo , Mats G. Larson , Sara Zahedi