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Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana

The dual-phase-lag (DPL) heat transfer model is a very stiff partial differential equation which is the mixed derivative of time-space that makes it hard to tackle accurately. For fast transient solution of heat conduction model based on a moment matching technique, researcher generally takes one of...

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Main Author:	Md. Sohel, Rana
Format:	Thesis
Published:	2015
Subjects:	T Technology (General) TA Engineering (General). Civil engineering (General)
Online Access:	http://studentsrepo.um.edu.my/8350/4/KGA120034_Sohel_Rana%252C_Thesis..pdf http://studentsrepo.um.edu.my/8350/
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spelling	my.um.stud.83502018-02-15T09:04:45Z Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana Md. Sohel, Rana T Technology (General) TA Engineering (General). Civil engineering (General) The dual-phase-lag (DPL) heat transfer model is a very stiff partial differential equation which is the mixed derivative of time-space that makes it hard to tackle accurately. For fast transient solution of heat conduction model based on a moment matching technique, researcher generally takes one of two approaches. The first is to linearize the DPL heat conduction equation, where required to introduce extra degree of freedom. The second approach is to work directly using asymptotic waveform evaluation (AWE). But the AWE method is unattractive because the moment matching techniques is intrinsically ill conditioned. In this dissertation, two well-conditioned schemes have developed to reduce the instability of AWE. Furthermore, Fourier heat transfer model and non-Fourier heat transfer model with DPL have analysed by using Tikhonov based well condition asymptotic wave evaluation (TWCAWE) and finite element model (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique has successfully used to predict the accurate and stable temperature responses without the loss of initial high frequency responses. To reduce the increased computational time by Tikhonov based AWE using ML (AWE-ML), another Tikhonov based well-condition scheme called mass effect (AWE-ME) is introduced. AWE-ME showed more stable and accurate temperature spectrum in comparison to asymptotic waveform evaluation (AWE) and also partial Pade AWE without sacrificing the computational time. But the results obtained from AWE-ME scheme are not accurate as AWE-ML. The TWCAWE method is presented here to study the Fourier and non-Fourier heat conduction problems with various boundary conditions. In this work, a novel TWCAWE method is proposed to overwhelm ill-conditioning of the AWE method for thermal analysis and also presented for time-reliant problems. The TWCAWE method is capable to evade the instability of AWE and also efficaciously approximates the initial high frequency and delay similar as well-established numerical method, such as Runge-Kutta (R-K). Furthermore, TWCAWE method is found 1.2 times faster than the AWE and also 4 times faster than the traditional R-K method. 2015-02-17 Thesis NonPeerReviewed application/pdf http://studentsrepo.um.edu.my/8350/4/KGA120034_Sohel_Rana%252C_Thesis..pdf Md. Sohel, Rana (2015) Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana. Masters thesis, University of Malaya. http://studentsrepo.um.edu.my/8350/
institution	Universiti Malaya
building	UM Library
collection	Institutional Repository
continent	Asia
country	Malaysia
content_provider	Universiti Malaya
content_source	UM Student Repository
url_provider	http://studentsrepo.um.edu.my/
topic	T Technology (General) TA Engineering (General). Civil engineering (General)
spellingShingle	T Technology (General) TA Engineering (General). Civil engineering (General) Md. Sohel, Rana Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana
description	The dual-phase-lag (DPL) heat transfer model is a very stiff partial differential equation which is the mixed derivative of time-space that makes it hard to tackle accurately. For fast transient solution of heat conduction model based on a moment matching technique, researcher generally takes one of two approaches. The first is to linearize the DPL heat conduction equation, where required to introduce extra degree of freedom. The second approach is to work directly using asymptotic waveform evaluation (AWE). But the AWE method is unattractive because the moment matching techniques is intrinsically ill conditioned. In this dissertation, two well-conditioned schemes have developed to reduce the instability of AWE. Furthermore, Fourier heat transfer model and non-Fourier heat transfer model with DPL have analysed by using Tikhonov based well condition asymptotic wave evaluation (TWCAWE) and finite element model (FEM). The non-Fourier heat conduction has been investigated where the maximum likelihood (ML) and Tikhonov regularization technique has successfully used to predict the accurate and stable temperature responses without the loss of initial high frequency responses. To reduce the increased computational time by Tikhonov based AWE using ML (AWE-ML), another Tikhonov based well-condition scheme called mass effect (AWE-ME) is introduced. AWE-ME showed more stable and accurate temperature spectrum in comparison to asymptotic waveform evaluation (AWE) and also partial Pade AWE without sacrificing the computational time. But the results obtained from AWE-ME scheme are not accurate as AWE-ML. The TWCAWE method is presented here to study the Fourier and non-Fourier heat conduction problems with various boundary conditions. In this work, a novel TWCAWE method is proposed to overwhelm ill-conditioning of the AWE method for thermal analysis and also presented for time-reliant problems. The TWCAWE method is capable to evade the instability of AWE and also efficaciously approximates the initial high frequency and delay similar as well-established numerical method, such as Runge-Kutta (R-K). Furthermore, TWCAWE method is found 1.2 times faster than the AWE and also 4 times faster than the traditional R-K method.
format	Thesis
author	Md. Sohel, Rana
author_facet	Md. Sohel, Rana
author_sort	Md. Sohel, Rana
title	Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana
title_short	Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana
title_full	Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana
title_fullStr	Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana
title_full_unstemmed	Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana
title_sort	tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / md. sohel rana
publishDate	2015
url	http://studentsrepo.um.edu.my/8350/4/KGA120034_Sohel_Rana%252C_Thesis..pdf http://studentsrepo.um.edu.my/8350/
_version_	1738506131622330368
score	13.211869

Tikhonov based well-conditioned asymptotic waveform evaluation technique for heat conduction / Md. Sohel Rana

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