The Finite Difference Method for transient convection-diffusion problems

• Autorzy: Majchrzak E. , Turchan Ł.
• Języki publikacji: EN

Abstrakty

EN

The convection-diffusion equation (1D problem) is considered. At first, the unknown temperature T is expanded into a Taylor series with respect to time taking into account its three components. Next, using the convection-diffusion equation and equation obtained from the differentiation of this equation, the way of temperature T computations is shown. In this new equation the high order derivatives with respect to spatial co-ordinate appear and the approximation of these derivatives is also discussed. The explicit scheme is used and the stability criteria are formulated. Finally, the results of computations are shown.

Słowa kluczowe

EN

finite difference method; convection-diffusion equation

PL

metoda różnic skończonych

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Prace Naukowe Instytutu Matematyki i Informatyki Politechniki Częstochowskiej
• Rocznik: 2012
• Tom: Vol. 11, nr 1
• Strony: 63--72
• Opis fizyczny: Bibliogr. 10 poz., rys.

Twórcy

autor

Majchrzak E.

autor

Turchan Ł.

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

Bibliografia

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• [9] Mochnacki B., Lara-Dziembek S., Weighted residual method as a tool of FDM algorithm construction, Scientific Research of the Institute of Mathematics and Computer Science Czestochowa University of Technology 2010, 1(9), 147-153.
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