The analysis of gradient algorithm effectiveness - two dimensional heat transfer problem

• Autorzy: Łopata S. , Ocłoń P.
• Języki publikacji: EN

Abstrakty

EN

The analysis of effectiveness of the gradient algorithm for the two-dimension steady state heat transfer problems is being performed. The three gradient algorithms - the BCG (biconjugate gradient algorithm), the BICGSTAB (biconjugate gradient stabilized algorithm), and the CGS (conjugate gradient squared algorithm) are implemented in a computer code. Because the first type boundary conditions are imposed, it is possible to compare the results with the analytical solution. Computations are carried out for different numerical grid densities. Therefore it is possible to investigate how the grid density influences the efficiency of the gradient algorithms. The total computational time, residual drop and the iteration time for the gradient algorithms are additionally compared with the performance of the SOR (successive over-relaxation) method.

Słowa kluczowe

EN

control volume method; gradient algorithms; heat transfer

PL

algorytm gradientów; metoda regulacji głośności; wymiana ciepła

• Wydawca: Wydawnictwo Instytutu Maszyn Przepływowych PAN ; Komitet Termodynamiki i Spalania PAN
• Czasopismo: Archives of Thermodynamics
• Rocznik: 2010
• Tom: Vol. 31, no. 4
• Strony: 37--50
• Opis fizyczny: Bibliogr. 8 poz.,Rys., tab., wykr., wz.,

Twórcy

autor

Łopata S.

autor

Ocłoń P.

• Cracow University of Technology, Division of Power Engineering, 31-864 Krakow, al. Jana Pawia II 37, Poland,

Bibliografia

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• [2] CHUNG T. J.: Computational Fluid Dynamics, Cambridge Univ. Press., Cambridge 2002.
• [3] HOFFMAN K. A, CHIANG S.: Computational Fluid Dynamics, Vol. 1-3, EES 2000.
• [4] TALER J., DUDA P.: Solving Direct and Inverse Heat Conduction Problems. WNT, Warszawa 2003 (in Polish).
• [5] SHEWCHUK J. R.: An Introduction to The Conjugate Gradient Metchod Without The Agonizing Pain, School of Computer Science Carnegie Melon, University Pittsburgh, 1994.
• [6] SAAD Y.: Iterative Methods for Sparse Linear Systems, 2nd edn., 2000.
• [7] INCOPERA F. P., DSWITT D. P., BERGMAN T., LAVINE A.: Fundamentals of Heat and Mass Transfer, Willey, Los Angeles 2007.
• [8] CHAPRA S.: Applied Numerical Methods with MATLAB, 2nd edn., McGraw-Hill, 2004.