Interval boundary element method for 1D transient diffusion problem

• Autorzy: Piasecka Belkhayat A.
• Języki publikacji: EN

Abstrakty

EN

In this paper the description of an unsteady heat transfer for one-dimensional problem is presented. It is assumed that all thermophysical parameters (specific heat, mass density and heat conduction) are given as intervals. The problem discussed has been solved using the 1st scheme of the boundary element method. The interval Gauss elimination method with the decomposition procedure has been applied to solve the obtained interval system of equations. In the final part of the paper the results of numerical computations are shown.

Słowa kluczowe

EN

interval boundary element method; heat transfer; thermophysical parameters

PL

przedziałowa metoda elementów brzegowych; przepływ ciepła; parametry termofizyczne

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2006
• Tom: Vol. 5, nr 1
• Strony: 176--184
• Opis fizyczny: Bibliogr. 5 poz., rys.

Twórcy

autor

Piasecka Belkhayat A.

• Department for Strength of Materials and Computational Mechanics Silesian University of Technology, Gliwice, Poland

Bibliografia

• [1] Majchrzak E., Boundary element method in heat transfer, Publ. of the Technological University of Czestochowa, Czestochowa 2001 (in Polish).
• [2] Majchrzak E., Mochnacki B., The BEM application for numerical solution of non-steady and non-linear thermal diffusion problems, Computer Assisted Mechanics and Engineering Sciences 1996, 3, 4, 327-346.
• [3] Mochnacki B., Suchy J.S., Numerical methods in computations of foundry processes, PFTA, Cracow 1995.
• [4] Neumaier A., Interval methods for system of equations, Cambridge University Press, Cambridge, New York, Port Chester, Melbourne, Sydney 1990.
• [5] Piasecka-Belkhayat A., Application of the interval methods for solving linear thermal diffusion problems, Scientific Research of the Institute of Mathematics and Computer Science 2005, 1(4), 204-210.