A Coupled Thermo-Electromagnetic Formulation Based on the Cell Method

Alotto, Piergiorgio; Bullo, M.; Guarnieri, Massimo; Moro, Federico

doi:10.1109/tmag.2007.916016

Cited by 12 publications

(10 citation statements)

References 8 publications

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“…Applying the energy balance equation to the dual volume of control [15], see Figure 3a, we obtain the following equation:MρCpdTdt+trueD˜(−MλGT)=trueW˜,where Wfalse˜ is obtained once the system of equations (1) has been solved, Dfalse˜ represents the discrete divergence associated with the dual volume, being trueD˜=−Gt, MρCp is the constitutive matrix in heat transmission in transitory state and Mλ is the thermal conductivity constitutive matrix. In this way, we obtain the heat sources in the disk, which are calculated as follows:trueW˜=1σtrueJ→·trueJ→dtrueV˜,where Jfalse→ is calculated, by the following equation:trueJ→=σ(−truegrad→…”

Section: The Constitutive Convective Matrix In the CMmentioning

confidence: 99%

Thermal Analysis of a Magnetic Brake Using Infrared Techniques and 3D Cell Method with a New Convective Constitutive Matrix

Monzón-Verona

González-Domínguez

García-Alonso

et al. 2019

Sensors

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In this work we analyse the temperature distribution in a conductor disk in transitory regime. The disk is in motion in a stationary magnetic field generated by a permanent magnet and so, the electric currents induced inside it generate heat. The system acts as a magnetic brake and is analysed using infrared sensor techniques. In addition, for the simulation and analysis of the magnetic brake, a new thermal convective matrix for the 3D Cell Method (CM) is proposed. The results of the simulation have been verified by comparing the numerical results with those obtained by the Finite Element Method (FEM) and with experimental data obtained by infrared technology. The difference between the experimental results obtained by infrared sensors and those obtained in the simulations is less than 0.0459%.

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Section: The Constitutive Convective Matrix In the CMmentioning

confidence: 99%

Thermal Analysis of a Magnetic Brake Using Infrared Techniques and 3D Cell Method with a New Convective Constitutive Matrix

Monzón-Verona

González-Domínguez

García-Alonso

et al. 2019

Sensors

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“…(c) Cell method: Another related discretization program, based on general principles originally put forth in [50], [51], [49], is the Cell method [123], [124], [125], [126], [127], [128]. Even though this program does not rely on Whitney forms for constructing discrete Hodge star operators (other geometrically-based constructions are used instead), it is nevertheless still based upon the use of 'domain-integrated' discrete variables that conform to the notion of discrete differential forms or cochains of various degrees and, as such, it is naturally suited for irregular lattices.…”

Section: Appendix E: Overview Of Related Discretization Approachesmentioning

confidence: 99%

Differential Forms in Lattice Field Theories: An Overview

Teixeira

2013

ISRN Mathematical Physics

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“…Multiphysical problems in bulk regions are discretized according to the CM formulation proposed in Alotto et al (2008).…”

Section: Electrical-thermal Model In Bulk Regionsmentioning

confidence: 99%

“…Inhomogeneous Neumann boundary conditions for modeling convective heat transfer are implemented according to Alotto et al (2008). Finally, electric and thermal equations are assembled into the following system of differential algebraic equations which can be solved in terms of electric potentials v and over-temperatures u:…”

Section: Electrical-thermal Model On Contact Interfacesmentioning

confidence: 99%

A cell method‐based numerical model for resistance welding

Alotto

Moro

Stella

2011

COMPEL - The International Journal for Computation and Mathematics in Electrical and Electronic Engineering

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Purpose -The purpose of this paper is to simulate in the time domain three-dimensional electrical, thermal, mechanical coupled contact problems arising in electric resistance welding (ERW) processes. Design/methodology/approach -A three-dimensional multiphysical numerical model for analyzing contact problems is proposed. Electrical and thermal field equations in bulk domains are discretized with the cell method (CM). Welding resistance at contact interfaces is described locally by synthetic statistic parameters and contacting domains are matched together by a non-overlapping domain decomposition method. Contact pressure distribution is resolved by a finite-element procedure. The model is validated with 3D FEM software package. Findings -The semi-analytical model describing the electric and thermal resistances at contact interfaces can be easily embedded in CM formulations, where problem variables are expressed directly in integral form. Compatibility conditions between contact members are enforced by a domain decomposition approach. System conditioning and computing time are improved by a solution strategy based on the Schur complement method.Research limitations/implications -The electrical-thermal analysis is not coupled strongly with the mechanical analysis and contact pressure distribution is assumed to be not depending on thermal stresses, which can be considerable near the contact area where localized joule heating occurs. Practical implications -Resistance welding processes involve mechanical, electrical, and thermal non-linear coupled effects that cannot be simulated by standard commercial software packages. The proposed numerical model can be used instead for designing and optimizing ERW processes. Originality/value -The paper shows that numerical modeling of ERW processes requires a careful prediction of the localized joule heating occurring at the electrode-material interface. This effect is reconstructed by the proposed approach simulating coupled electrical, thermal, and mechanical effects on different spatial scales.

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A Coupled Thermo-Electromagnetic Formulation Based on the Cell Method

Cited by 12 publications

References 8 publications

Thermal Analysis of a Magnetic Brake Using Infrared Techniques and 3D Cell Method with a New Convective Constitutive Matrix

Thermal Analysis of a Magnetic Brake Using Infrared Techniques and 3D Cell Method with a New Convective Constitutive Matrix

Differential Forms in Lattice Field Theories: An Overview

A cell method‐based numerical model for resistance welding

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