Inverse Method for Controlling Pure Material Solidification in Spherical Geometry

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CHARIFI, Mohamed ;ZEGADI, Rabah .
Inverse Method for Controlling Pure Material Solidification in Spherical Geometry. 
Strojniški vestnik - Journal of Mechanical Engineering, [S.l.], v. 63, n.2, p. 103-110, june 2018. 
ISSN 0039-2480.
Available at: <https://www.sv-jme.eu/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/>. Date accessed: 09 apr. 2020. 
doi:http://dx.doi.org/10.5545/sv-jme.2016.3805.
Charifi, M., & Zegadi, R.
(2017).
Inverse Method for Controlling Pure Material Solidification in Spherical Geometry.
Strojniški vestnik - Journal of Mechanical Engineering, 63(2), 103-110.
doi:http://dx.doi.org/10.5545/sv-jme.2016.3805
@article{sv-jmesv-jme.2016.3805,
	author = {Mohamed  Charifi and Rabah  Zegadi},
	title = {Inverse Method for Controlling Pure Material Solidification in Spherical Geometry},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {63},
	number = {2},
	year = {2017},
	keywords = {phase change, interface solid/liquid, inverse problem, spherical geometry},
	abstract = {In this study, we present the control of the solidification process of a phase-changing, pure material described in one-dimensional spherical geometry. We used an inverse global descent method in which the gradient and the adjoint equation are constructed in continuous variables of time and space. The control variable is the temperature at the fixed boundary of the solid domain. For the desired solidification front, the control was determined using information on the heat flux deduced by heat balance. The numerical resolution was based on a finite difference method in a physical domain with a moving grid related to the evolving solidification front with time. The developed numerical model was validated using an exact built solution. The numerical results of the control problem are presented for both the exact and noisy data cases. For the noisy data, a regularization method was applied. In the case of the exactdata, a rapid control determination was achieved except for time steps near the end. The random errors effects in bruited data were considerably reduced by regularization.},
	issn = {0039-2480},	pages = {103-110},	doi = {10.5545/sv-jme.2016.3805},
	url = {https://www.sv-jme.eu/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/}
}
Charifi, M.,Zegadi, R.
2017 June 63. Inverse Method for Controlling Pure Material Solidification in Spherical Geometry. Strojniški vestnik - Journal of Mechanical Engineering. [Online] 63:2
%A Charifi, Mohamed 
%A Zegadi, Rabah 
%D 2017
%T Inverse Method for Controlling Pure Material Solidification in Spherical Geometry
%B 2017
%9 phase change, interface solid/liquid, inverse problem, spherical geometry
%! Inverse Method for Controlling Pure Material Solidification in Spherical Geometry
%K phase change, interface solid/liquid, inverse problem, spherical geometry
%X In this study, we present the control of the solidification process of a phase-changing, pure material described in one-dimensional spherical geometry. We used an inverse global descent method in which the gradient and the adjoint equation are constructed in continuous variables of time and space. The control variable is the temperature at the fixed boundary of the solid domain. For the desired solidification front, the control was determined using information on the heat flux deduced by heat balance. The numerical resolution was based on a finite difference method in a physical domain with a moving grid related to the evolving solidification front with time. The developed numerical model was validated using an exact built solution. The numerical results of the control problem are presented for both the exact and noisy data cases. For the noisy data, a regularization method was applied. In the case of the exactdata, a rapid control determination was achieved except for time steps near the end. The random errors effects in bruited data were considerably reduced by regularization.
%U https://www.sv-jme.eu/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/
%0 Journal Article
%R 10.5545/sv-jme.2016.3805
%& 103
%P 8
%J Strojniški vestnik - Journal of Mechanical Engineering
%V 63
%N 2
%@ 0039-2480
%8 2018-06-27
%7 2018-06-27
Charifi, Mohamed, & Rabah  Zegadi.
"Inverse Method for Controlling Pure Material Solidification in Spherical Geometry." Strojniški vestnik - Journal of Mechanical Engineering [Online], 63.2 (2017): 103-110. Web.  09 Apr. 2020
TY  - JOUR
AU  - Charifi, Mohamed 
AU  - Zegadi, Rabah 
PY  - 2017
TI  - Inverse Method for Controlling Pure Material Solidification in Spherical Geometry
JF  - Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2016.3805
KW  - phase change, interface solid/liquid, inverse problem, spherical geometry
N2  - In this study, we present the control of the solidification process of a phase-changing, pure material described in one-dimensional spherical geometry. We used an inverse global descent method in which the gradient and the adjoint equation are constructed in continuous variables of time and space. The control variable is the temperature at the fixed boundary of the solid domain. For the desired solidification front, the control was determined using information on the heat flux deduced by heat balance. The numerical resolution was based on a finite difference method in a physical domain with a moving grid related to the evolving solidification front with time. The developed numerical model was validated using an exact built solution. The numerical results of the control problem are presented for both the exact and noisy data cases. For the noisy data, a regularization method was applied. In the case of the exactdata, a rapid control determination was achieved except for time steps near the end. The random errors effects in bruited data were considerably reduced by regularization.
UR  - https://www.sv-jme.eu/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/
@article{{sv-jme}{sv-jme.2016.3805},
	author = {Charifi, M., Zegadi, R.},
	title = {Inverse Method for Controlling Pure Material Solidification in Spherical Geometry},
	journal = {Strojniški vestnik - Journal of Mechanical Engineering},
	volume = {63},
	number = {2},
	year = {2017},
	doi = {10.5545/sv-jme.2016.3805},
	url = {https://www.sv-jme.eu/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/}
}
TY  - JOUR
AU  - Charifi, Mohamed 
AU  - Zegadi, Rabah 
PY  - 2018/06/27
TI  - Inverse Method for Controlling Pure Material Solidification in Spherical Geometry
JF  - Strojniški vestnik - Journal of Mechanical Engineering; Vol 63, No 2 (2017): Strojniški vestnik - Journal of Mechanical Engineering
DO  - 10.5545/sv-jme.2016.3805
KW  - phase change, interface solid/liquid, inverse problem, spherical geometry
N2  - In this study, we present the control of the solidification process of a phase-changing, pure material described in one-dimensional spherical geometry. We used an inverse global descent method in which the gradient and the adjoint equation are constructed in continuous variables of time and space. The control variable is the temperature at the fixed boundary of the solid domain. For the desired solidification front, the control was determined using information on the heat flux deduced by heat balance. The numerical resolution was based on a finite difference method in a physical domain with a moving grid related to the evolving solidification front with time. The developed numerical model was validated using an exact built solution. The numerical results of the control problem are presented for both the exact and noisy data cases. For the noisy data, a regularization method was applied. In the case of the exactdata, a rapid control determination was achieved except for time steps near the end. The random errors effects in bruited data were considerably reduced by regularization.
UR  - https://www.sv-jme.eu/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/
Charifi, Mohamed, AND Zegadi, Rabah.
"Inverse Method for Controlling Pure Material Solidification in Spherical Geometry" Strojniški vestnik - Journal of Mechanical Engineering [Online], Volume 63 Number 2 (27 June 2018)

Authors

Affiliations

  • University of Sétif, Institute of Optics and Precision Mechanics, Algeria 1

Paper's information

Strojniški vestnik - Journal of Mechanical Engineering 63(2017)2, 103-110

https://doi.org/10.5545/sv-jme.2016.3805

In this study, we present the control of the solidification process of a phase-changing, pure material described in one-dimensional spherical geometry. We used an inverse global descent method in which the gradient and the adjoint equation are constructed in continuous variables of time and space. The control variable is the temperature at the fixed boundary of the solid domain. For the desired solidification front, the control was determined using information on the heat flux deduced by heat balance. The numerical resolution was based on a finite difference method in a physical domain with a moving grid related to the evolving solidification front with time. The developed numerical model was validated using an exact built solution. The numerical results of the control problem are presented for both the exact and noisy data cases. For the noisy data, a regularization method was applied. In the case of the exactdata, a rapid control determination was achieved except for time steps near the end. The random errors effects in bruited data were considerably reduced by regularization.

phase change, interface solid/liquid, inverse problem, spherical geometry