In the present work, a reduced-order method, “Proper Generalized Decomposition (PGD)” is extended and applied to the resolution of the Reynolds equation describing the behavior of the lubricant in hydrodynamic journal bearing. The PGD model is employed to solve the characteristic ‘Reynolds’ partial differential equation using the separation technique through the alternating direction strategy. The resulting separated-dimension system has a low computation cost compared to classical finite-difference resolution. Several numerical benchmark examples are investigated to verify the validity and accuracy of the proposed method. It has been found that numerical results obtained by the PGD method can achieve an improved convergence rate with a very low computation cost.
Accepted:
Published online:
Bilal Cherabi 1; Abderrachid Hamrani 1; Idir Belaidi 1; Sofiane Khelladi 2; Farid Bakir 2
@article{CRMECA_2016__344_10_689_0,
author = {Bilal Cherabi and Abderrachid Hamrani and Idir Belaidi and Sofiane Khelladi and Farid Bakir},
title = {An efficient reduced-order method with {PGD} for solving journal bearing hydrodynamic lubrication problems},
journal = {Comptes Rendus. M\'ecanique},
pages = {689--714},
publisher = {Elsevier},
volume = {344},
number = {10},
year = {2016},
doi = {10.1016/j.crme.2016.05.006},
language = {en},
}
TY - JOUR AU - Bilal Cherabi AU - Abderrachid Hamrani AU - Idir Belaidi AU - Sofiane Khelladi AU - Farid Bakir TI - An efficient reduced-order method with PGD for solving journal bearing hydrodynamic lubrication problems JO - Comptes Rendus. Mécanique PY - 2016 SP - 689 EP - 714 VL - 344 IS - 10 PB - Elsevier DO - 10.1016/j.crme.2016.05.006 LA - en ID - CRMECA_2016__344_10_689_0 ER -
%0 Journal Article %A Bilal Cherabi %A Abderrachid Hamrani %A Idir Belaidi %A Sofiane Khelladi %A Farid Bakir %T An efficient reduced-order method with PGD for solving journal bearing hydrodynamic lubrication problems %J Comptes Rendus. Mécanique %D 2016 %P 689-714 %V 344 %N 10 %I Elsevier %R 10.1016/j.crme.2016.05.006 %G en %F CRMECA_2016__344_10_689_0
Bilal Cherabi; Abderrachid Hamrani; Idir Belaidi; Sofiane Khelladi; Farid Bakir. An efficient reduced-order method with PGD for solving journal bearing hydrodynamic lubrication problems. Comptes Rendus. Mécanique, Volume 344 (2016) no. 10, pp. 689-714. doi : 10.1016/j.crme.2016.05.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2016.05.006/
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