Sensitivity Equation for Transient Three-Dimensional Heat Conduction Problem with Moving Heat Source
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2010
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Sensitivity analysis of transient three-dimensional heat conduction in a plate during process of welding is performed. Crank-Nicolson method with multi-step Douglas-Gunn Alternating Direction Implicit (AD!) method is used for the solution of heat conduction equation with convection boundary conditions at all surfaces, and with heat source at the top surface moving with a constant velocity. Sensitivity equation method (SEM) is applied for sensitivity calculations. It is shown that SEM is a set of straightforward operations in the case of heat conduction equation. Development of the sensitivity equation with respect to the power of the heat source is demonstrated and final results for this sensitivity are presented.
Ključne reči:
welding simulation / transient heat conduction / sensitivity equation method (SEM) / sensitivity analysis / moving heat sourceIzvor:
Numerical Analysis and Applied Mathematics, Vols I-Iii, 2010, 1281, 2127-+Izdavač:
- Amer Inst Physics, Melville
Finansiranje / projekti:
- Istraživanje i razvoj metoda za ocenu integriteta i pouzdanosti zavarenih cevi u naftnoj industriji (RS-MESTD-MPN2006-2010-14014)
DOI: 10.1063/1.3498384
ISSN: 0094-243X
WoS: 000289661501189
Scopus: 2-s2.0-79954527567
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Institucija/grupa
Inovacioni centarTY - CONF AU - Ivanović, Ivana AU - Sedmak, Aleksandar PY - 2010 UR - https://machinery.mas.bg.ac.rs/handle/123456789/1137 AB - Sensitivity analysis of transient three-dimensional heat conduction in a plate during process of welding is performed. Crank-Nicolson method with multi-step Douglas-Gunn Alternating Direction Implicit (AD!) method is used for the solution of heat conduction equation with convection boundary conditions at all surfaces, and with heat source at the top surface moving with a constant velocity. Sensitivity equation method (SEM) is applied for sensitivity calculations. It is shown that SEM is a set of straightforward operations in the case of heat conduction equation. Development of the sensitivity equation with respect to the power of the heat source is demonstrated and final results for this sensitivity are presented. PB - Amer Inst Physics, Melville C3 - Numerical Analysis and Applied Mathematics, Vols I-Iii T1 - Sensitivity Equation for Transient Three-Dimensional Heat Conduction Problem with Moving Heat Source EP - + SP - 2127 VL - 1281 DO - 10.1063/1.3498384 ER -
@conference{ author = "Ivanović, Ivana and Sedmak, Aleksandar", year = "2010", abstract = "Sensitivity analysis of transient three-dimensional heat conduction in a plate during process of welding is performed. Crank-Nicolson method with multi-step Douglas-Gunn Alternating Direction Implicit (AD!) method is used for the solution of heat conduction equation with convection boundary conditions at all surfaces, and with heat source at the top surface moving with a constant velocity. Sensitivity equation method (SEM) is applied for sensitivity calculations. It is shown that SEM is a set of straightforward operations in the case of heat conduction equation. Development of the sensitivity equation with respect to the power of the heat source is demonstrated and final results for this sensitivity are presented.", publisher = "Amer Inst Physics, Melville", journal = "Numerical Analysis and Applied Mathematics, Vols I-Iii", title = "Sensitivity Equation for Transient Three-Dimensional Heat Conduction Problem with Moving Heat Source", pages = "+-2127", volume = "1281", doi = "10.1063/1.3498384" }
Ivanović, I.,& Sedmak, A.. (2010). Sensitivity Equation for Transient Three-Dimensional Heat Conduction Problem with Moving Heat Source. in Numerical Analysis and Applied Mathematics, Vols I-Iii Amer Inst Physics, Melville., 1281, 2127-+. https://doi.org/10.1063/1.3498384
Ivanović I, Sedmak A. Sensitivity Equation for Transient Three-Dimensional Heat Conduction Problem with Moving Heat Source. in Numerical Analysis and Applied Mathematics, Vols I-Iii. 2010;1281:2127-+. doi:10.1063/1.3498384 .
Ivanović, Ivana, Sedmak, Aleksandar, "Sensitivity Equation for Transient Three-Dimensional Heat Conduction Problem with Moving Heat Source" in Numerical Analysis and Applied Mathematics, Vols I-Iii, 1281 (2010):2127-+, https://doi.org/10.1063/1.3498384 . .