Estimation of temperature changes due to perturbation of local geometry of boundary using implicit approach of shape sensitivity analysis

• Autorzy: Freus K. , Freus S.
• Języki publikacji: EN

Abstrakty

EN

In the paper, a 2D domain in which the temperature field is described by the Laplace equation and the assumed boundary conditions is considered. To estimate the changes of temperature due to the change of the boundary local geometry, the implicit approach of shape sensitivity analysis is used. In the final part of paper, examples of numerical computations are shown and conclusions are formulated.

Słowa kluczowe

EN

temperature changes; boundary local geometry; shape sensitivity analysis

PL

zmiany temperatury

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2011
• Tom: Vol. 10, nr 2
• Strony: 65--73
• Opis fizyczny: Bibliogr. 12 poz., rys., tab.

Twórcy

autor

Freus K.

autor

Freus S.

• Institute of Mathematics, Czestochowa University of Technology, Poland,

Bibliografia

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• [2] Szopa R., Sensitivity Analysis and Inverse Problems in the Thermal Theory of Foundry, Monographs 124, Publ. of Czest. Univ. of Techn., Czestochowa 2006.
• [3] Mochnacki B., Szopa R., Application of sensitivity analysis in numerical simulation of solidification process, [in:] Postępy teorii i praktyki odlewniczej, J. Szajnar (ed.), PAN, Komisja Odlewnictwa 2009, 271-286.
• [4] Mochnacki B., Metelski A., Identification of internal heat source capacity in the heterogeneous domain, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 182-187.
• [5] Szopa R., Siedlecki J., Wojciechowska W., Second order sensitivity analysis of heat conduction problems, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 255-263.
• [6] Majchrzak E., Boundary element method in heat transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [7] Brebbia C.A., Domingues J., Boundary Elements, an Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [8] Majchrzak E., Freus K., Freus S., Shape sensitivity analysis. Implicit approach using the boundary element method, Scientific Research of the Institute of Mathematics and Computer Science 2011, 1(10).
• [9] Burczyński T., Sensitivity analysis, optimization and inverse problems, [in:] Boundary Element Advances in Solid Mechanics, Springer-Verlag, Wien, New York 2004, 245-307.
• [10] Majchrzak E., Dziewoński M., Freus S., Application of boundary element method to shape sensitivity analysis, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 137-146.
• [11] Majchrzak E., Kałuża G., Explicit and implicit approach of sensitivity analysis in numerical modeling of solidification, Archives of Foundry Engineering 2008, 8, 1, 187-192.
• [12] Majchrzak E., Drozdek J., Paruch M., Heating of tissue by means of the electric field – numerical model basing on the BEM, Scientific Research of the Institute of Mathematics and Computer Science 2008, 1(7), 99-110.