Shape sensitivity analysis of temperature distribution in a non-homogeneous domain

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

Abstrakty

EN

The heated non-homogeneous domain from the two sub-domains compound is considered. The temperature distribution is described by the system of two Laplace equations. At the surface Γ c between sub-domains the ideal contact is assumed, at the remaining surfaces the Dirichlet, Neumann and Robin conditions are taken into account. The problem is solved by means of the boundary element method. To estimate the changes of temperature due to the change of local geometry of internal boundary Γ c the implicit variant of shape sensitivity analysis is applied. In the final part, the results of computations are shown and the conclusions are formulated.

Słowa kluczowe

EN

shape sensitivity analysis; temperature distribution; non-homogeneous domain

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 2
• Strony: 33--41
• Opis fizyczny: Bibliogr. 8 poz., rys.

Twórcy

autor

Freus K.

autor

Freus S.

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

Bibliografia

• [1] Brebbia C.A., Domingues J., Boundary Elements, an Introductory Course, CMP, McGraw-Hill Book Company, London 1992.
• [2] Majchrzak E., Boundary element method in heat transfer, Publ. of the Techn. Univ. of Czest., Czestochowa 2001 (in Polish).
• [3] Majchrzak E., Mochnacki B., Numerical Methods. Theoretical Bases, Practical Aspects and Algorithms, Publ. of the Silesian University of Technology, Gliwice 2004.
• [4] Majchrzak, E., Tarasek D., Identification of internal whole parameters on the basis of boundary temperature, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2009, 1(8), 138-146.
• [5] Majchrzak E., Freus K., Freus S., Shape sensitivity analysis. Implicit approach using boundary element method, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2011, 1(10), 151-162.
• [6] Burczyński T., Sensitivity analysis, optimization and inverse problems, [In:] Boundary Element Advances in Solid Mechanics, Springer-Verlag, Wien, New York 2004, 245-307.
• [7] Kleiber M., Parameter Sensitivity, J. Wiley & Sons Ltd., Chichester 1997.
• [8] 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.