Fast convergence of iterative computation for incompressible-fluid Reynolds equation / Nenzi Wang in Transactions of the ASME . Journal of tribology, Vol. 134 N° 2 (Avril 2012)  

Public ISBD [article]  inTransactions of the ASME . Journal of tribology > Vol. 134 N° 2 (Avril 2012) . - 04 p. Titre : Fast convergence of iterative computation for incompressible-fluid Reynolds equation Type de document : texte imprimé Auteurs : Nenzi Wang, Auteur ; Kuo-Chiang Cha, Auteur ; Hua-Chih Huang, Auteur Année de publication : 2012 Article en page(s) : 04 p. Note générale : tribology Langues : Anglais (eng) Mots-clés : Reynolds equation  iterative method  grid convergence Index. décimale : 621.5 Energie pneumatique. Machinerie et outils. Réfrigération Résumé : When a discretized Reynolds equation is to be solved iteratively at least three subjects have to be determined first. These are the iterative solution method, the size of gridwork for the numerical model, and the stopping criterion for the iterative computing. The truncation error analysis of the Reynolds equation is used to provide the stopping criterion, as well as to estimate an adequate grid size based on a required relative precision or grid convergence index. In the simulated lubrication analyses, the convergent rate of the solution is further improved by combining a simple multilevel computing, the modified Chebyshev acceleration, and multithreaded computing. The best case is obtained by using the parallel three-level red-black successive-over-relaxation (SOR) with Chebyshev acceleration. The speedups of the best case relative to the case using sequential SOR with optimal relaxation factor are around 210 and 135, respectively, for the slider and journal bearing simulations. DEWEY : 621.5 ISSN : 0742-4787 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JOTRE9000134000002 [...] [article] Fast convergence of iterative computation for incompressible-fluid Reynolds equation [texte imprimé] / Nenzi Wang, Auteur ; Kuo-Chiang Cha, Auteur ; Hua-Chih Huang, Auteur . - 2012 . - 04 p. tribology Langues : Anglais (eng) in Transactions of the ASME . Journal of tribology > Vol. 134 N° 2 (Avril 2012) . - 04 p. Mots-clés : Reynolds equation  iterative method  grid convergence Index. décimale : 621.5 Energie pneumatique. Machinerie et outils. Réfrigération Résumé : When a discretized Reynolds equation is to be solved iteratively at least three subjects have to be determined first. These are the iterative solution method, the size of gridwork for the numerical model, and the stopping criterion for the iterative computing. The truncation error analysis of the Reynolds equation is used to provide the stopping criterion, as well as to estimate an adequate grid size based on a required relative precision or grid convergence index. In the simulated lubrication analyses, the convergent rate of the solution is further improved by combining a simple multilevel computing, the modified Chebyshev acceleration, and multithreaded computing. The best case is obtained by using the parallel three-level red-black successive-over-relaxation (SOR) with Chebyshev acceleration. The speedups of the best case relative to the case using sequential SOR with optimal relaxation factor are around 210 and 135, respectively, for the slider and journal bearing simulations. DEWEY : 621.5 ISSN : 0742-4787 En ligne : http://asmedl.org/getabs/servlet/GetabsServlet?prog=normal&id=JOTRE9000134000002 [...]

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