Comparison of iterative methods for the solution of compressible-fluid reynolds equation / Nenzi Wang in Transactions of the ASME . Journal of tribology, Vol. 133 N° 2 (Avril 2011)  

Public ISBD [article]  inTransactions of the ASME . Journal of tribology > Vol. 133 N° 2 (Avril 2011) . - 07 p. Titre : Comparison of iterative methods for the solution of compressible-fluid reynolds equation Type de document : texte imprimé Auteurs : Nenzi Wang, Auteur ; Shih-Hung Chang, Auteur ; Hua-Chih Huang, Auteur Année de publication : 2012 Article en page(s) : 07 p. Note générale : Tribology Langues : Anglais (eng) Mots-clés : Compressible flow Computational fluid dynamics Conjugate gradient methods Differential equations Newton method Index. décimale : 621.5 Energie pneumatique. Machinerie et outils. Réfrigération Résumé : This study presents an efficacy comparison of iterative solution methods for solving the compressible-fluid Reynolds equation in modeling air- or gas-lubricated bearings. A direct fixed-point iterative (DFI) method and Newton's method are employed to transform the Reynolds equation in a form that can be solved iteratively. The iterative solution methods examined are the Gauss–Seidel method, the successive over-relaxation (SOR) method, the preconditioned conjugate gradient (PCG) method, and the multigrid method. The overall solution time is affected by both the transformation method and the iterative method applied. In this study, Newton's method shows its effectiveness over the straightforward DFI method when the same iterative method is used. It is demonstrated that the use of an optimal relaxation factor is of vital importance for the efficiency of the SOR method. The multigrid method is an order faster than the PCG and optimal SOR methods. Also, the multigrid and PCG methods involve an extended coding work and are less flexible in dealing with gridwork and boundary conditions. Consequently, a compromise has to be made in terms of ease of use as well as programming effort for the solution of the compressible-fluid Reynolds equation. DEWEY : 621.5 ISSN : 0742-4787 En ligne : http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JOTRE900013 [...] [article] Comparison of iterative methods for the solution of compressible-fluid reynolds equation [texte imprimé] / Nenzi Wang, Auteur ; Shih-Hung Chang, Auteur ; Hua-Chih Huang, Auteur . - 2012 . - 07 p. Tribology Langues : Anglais (eng) in Transactions of the ASME . Journal of tribology > Vol. 133 N° 2 (Avril 2011) . - 07 p. Mots-clés : Compressible flow Computational fluid dynamics Conjugate gradient methods Differential equations Newton method Index. décimale : 621.5 Energie pneumatique. Machinerie et outils. Réfrigération Résumé : This study presents an efficacy comparison of iterative solution methods for solving the compressible-fluid Reynolds equation in modeling air- or gas-lubricated bearings. A direct fixed-point iterative (DFI) method and Newton's method are employed to transform the Reynolds equation in a form that can be solved iteratively. The iterative solution methods examined are the Gauss–Seidel method, the successive over-relaxation (SOR) method, the preconditioned conjugate gradient (PCG) method, and the multigrid method. The overall solution time is affected by both the transformation method and the iterative method applied. In this study, Newton's method shows its effectiveness over the straightforward DFI method when the same iterative method is used. It is demonstrated that the use of an optimal relaxation factor is of vital importance for the efficiency of the SOR method. The multigrid method is an order faster than the PCG and optimal SOR methods. Also, the multigrid and PCG methods involve an extended coding work and are less flexible in dealing with gridwork and boundary conditions. Consequently, a compromise has to be made in terms of ease of use as well as programming effort for the solution of the compressible-fluid Reynolds equation. DEWEY : 621.5 ISSN : 0742-4787 En ligne : http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JOTRE900013 [...]

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