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/sl/article/inverse-method-for-controlling-pure-material-solidification-in-spherical-geometry/>. Date accessed: 27 nov. 2024. 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/sl/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/sl/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. 27 Nov. 2024
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/sl/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/sl/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/sl/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)
Strojniški vestnik - Journal of Mechanical Engineering 63(2017)2, 103-110
© The Authors, CC-BY 4.0 Int. Change in copyright policy from 2022, Jan 1st.
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.