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Numerical modelling of non-linear coupled thermo-electric problems: A comparative study

Numerical modelling of non-linear coupled thermo-electric problems: A comparative study
Numerical modelling of non-linear coupled thermo-electric problems: A comparative study
Purpose – The purpose of this paper is to access performance of existing computational techniques to model strongly non-linear coupled thermo-electric problems. Design/methodology/approach – A thermistor is studied as an example of a strongly non-linear diffusion problem. The temperature field and the current flow in the device are mutually coupled via ohmic heating and very rapid variations of electric conductivity with temperature and applied electric field, which makes the problem an ideal test case for the computational techniques. The finite volume fully coupled and fractional steps (splitting) approaches on a fixed computational grid are compared with a fully coupled front-fixing method. The algorithms’ input parameters are verified by comparison with published experiments. Findings – Itwas found that fully coupledmethods aremore effective for non-linear diffusion problems. The front fixing provides additional improvements in terms of accuracy and computational cost. Originality/value – This paper for the first time compares in detail advantages and implementation complications of each method being applied to the coupled thermo-electric problems. Particular attention is paid to conservation properties of the algorithms and accurate solutions in the transition region with rapid changes in material properties.
Numerical analysis, Thermal diffusion, Thermoelectricity
0332-1649
639-655
Golosnoy, I.O.
40603f91-7488-49ea-830f-24dd930573d1
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb
Golosnoy, I.O.
40603f91-7488-49ea-830f-24dd930573d1
Sykulski, J.K.
d6885caf-aaed-4d12-9ef3-46c4c3bbd7fb

Golosnoy, I.O. and Sykulski, J.K. (2009) Numerical modelling of non-linear coupled thermo-electric problems: A comparative study. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 28 (3), 639-655.

Record type: Article

Abstract

Purpose – The purpose of this paper is to access performance of existing computational techniques to model strongly non-linear coupled thermo-electric problems. Design/methodology/approach – A thermistor is studied as an example of a strongly non-linear diffusion problem. The temperature field and the current flow in the device are mutually coupled via ohmic heating and very rapid variations of electric conductivity with temperature and applied electric field, which makes the problem an ideal test case for the computational techniques. The finite volume fully coupled and fractional steps (splitting) approaches on a fixed computational grid are compared with a fully coupled front-fixing method. The algorithms’ input parameters are verified by comparison with published experiments. Findings – Itwas found that fully coupledmethods aremore effective for non-linear diffusion problems. The front fixing provides additional improvements in terms of accuracy and computational cost. Originality/value – This paper for the first time compares in detail advantages and implementation complications of each method being applied to the coupled thermo-electric problems. Particular attention is paid to conservation properties of the algorithms and accurate solutions in the transition region with rapid changes in material properties.

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Published date: May 2009
Keywords: Numerical analysis, Thermal diffusion, Thermoelectricity
Organisations: EEE

Identifiers

Local EPrints ID: 267461
URI: http://eprints.soton.ac.uk/id/eprint/267461
ISSN: 0332-1649
PURE UUID: e5d1e934-006f-41df-a8b2-f94b6944fb94
ORCID for J.K. Sykulski: ORCID iD orcid.org/0000-0001-6392-126X

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Date deposited: 04 Jun 2009 11:23
Last modified: 07 Oct 2020 02:29

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