N2 - 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.
L1 - http://www.journals.pan.pl/Content/94163/PDF/04_paper.pdf
L2 - http://www.journals.pan.pl/Content/94163
PY - 2010
IS - No 4 October
EP - 50
DO - 10.2478/v10173-010-0026-5
KW - heat transfer
KW - Control volume method
KW - Gradient algorithms
A1 - Łopata, Stanisław
A1 - Ocłoń, Paweł
PB - The Committee of Thermodynamics and Combustion of the Polish Academy of Sciences and The Institute of Fluid-Flow Machinery Polish Academy of Sciences
DA - 2010
T1 - The analysis of gradient algorithm effectiveness - two dimensional heat transfer problem
SP - 37
UR - http://www.journals.pan.pl/dlibra/publication/edition/94163
T2 - Archives of Thermodynamics