Wyniki wyszukiwania - BazTech

1

Interval boundary element method for transient diffusion problem in two-layered domain

Piasecka-Belkhayat A.

Journal of Theoretical and Applied Mechanics

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2011

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Vol. 49 nr 1

265-276

EN

In the paper, the description of an unsteady heat transfer for one- dimensional problem proceeding in a two-layered domain is presented. It is assumed that all thermophysical parameters appearing in the mathematical description of the problem analysed are given as directed interval values. The problem discussed has been solved using the 1st scheme of the interval boundary element method. The interval Gauss elimination method has been applied to solve the obtained interval system of equations. In the final part of the paper, results of numerical computations are shown.

PL

W pracy przedstawiono opis nieustalonego przepływu ciepła dla zadań jednowymiarowych w obszarach dwuwarstwowych. Założono, że wszystkie parametry termofizyczne pojawiające się w opisie matematycznym analizowanego zadania są wartościami przedziałowymi skierowanymi. Omawiane zagadnienie zostało rozwiązane za pomocą pierwszego schematu przedziałowej metody elementów brzegowych. Do rozwiązania otrzymanego interwałowego układu równań zastosowano przedziałową metodę eliminacji Gaussa. W końcowej części pracy pokazano wyniki obliczeń numerycznych.

2

Solution of energy equation using the interval boundary element method

Piasecka-Belkhayat A.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2007

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Vol. 6, nr 1

219-226

EN

In the paper the 1D energy equation with an interval source function is considered. For this type of equation the 1st scheme of the interval boundary element method is presented. As an example the pure metal crystallization process is analyzed. In the final part of the paper the results of numerical computations for the cooper crystallization process with the interval source function are shown.

3

Modelling of crystallization process using the interval boundary element method

Majchrzak E., Piasecka-Belkhayat A.

Computer Assisted Mechanics and Engineering Sciences

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2007

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Vol. 14, No. 4

673-680

EN

The mathematical model of solidification process can be formulated using the macro or micro-macro approach. In this paper the second generation model (micro-macro one) is considered. The driving force of crystallization is the local and temporary undercooling below solidification point T_cr. The nucleation and nuclei growth are proportional to the second power of undercooling. Formulas determining the phenomena previously mentioned contain coefficients called the nucleation coefficient and nuclei growth one. These coefficients are assumed to be interval values. For above assumptions the problem has been solved by means of interval boundary element method. In the final part of the paper the results of computations are shown.

4

Interval boundary element method for 1D transient diffusion problem

Piasecka Belkhayat A.

Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej

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2006

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Vol. 5, nr 1

176-184

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.