Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm

In this paper we present an algorithm for the numerical simulation of the cavitation in the hydrodynamic lubrication of journal bearings. Despite the fact that this physical process is usually modelled as a free boundary problem, we adopted the equivalent variational inequality formulation. We propose a two-level iterative algorithm, where the outer iteration is associated to the penalty method, used to transform the variational inequality into a variational equation, and the inner iteration is associated to the conjugate gradient method, used to solve the linear system generated by applying the finite element method to the variational equation. This inner part was implemented using the element by element strategy, which is easily parallelized. We analyse the behavior of two physical parameters and discuss some numerical results. Also, we analyse some results related to the performance of a parallel implementation of the algorithm.

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Main Authors: Amendola,Mariangela, Moura,Carlos Antonio de, Zago,José Vitorio, Pulino,Petronio, Gomes Neto,Francisco de Assis M.
Format: Digital revista
Language:English
Published: The Brazilian Society of Mechanical Sciences 2001
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73862001000300006
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spelling oai:scielo:S0100-738620010003000062002-08-19Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel AlgorithmAmendola,MariangelaMoura,Carlos Antonio deZago,José VitorioPulino,PetronioGomes Neto,Francisco de Assis M. Cavitation parallel algorithm variational inequalities finite element method penalty method In this paper we present an algorithm for the numerical simulation of the cavitation in the hydrodynamic lubrication of journal bearings. Despite the fact that this physical process is usually modelled as a free boundary problem, we adopted the equivalent variational inequality formulation. We propose a two-level iterative algorithm, where the outer iteration is associated to the penalty method, used to transform the variational inequality into a variational equation, and the inner iteration is associated to the conjugate gradient method, used to solve the linear system generated by applying the finite element method to the variational equation. This inner part was implemented using the element by element strategy, which is easily parallelized. We analyse the behavior of two physical parameters and discuss some numerical results. Also, we analyse some results related to the performance of a parallel implementation of the algorithm.info:eu-repo/semantics/openAccessThe Brazilian Society of Mechanical SciencesJournal of the Brazilian Society of Mechanical Sciences v.23 n.3 20012001-01-01info:eu-repo/semantics/articletext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73862001000300006en10.1590/S0100-73862001000300006
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countrycode BR
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region America del Sur
libraryname SciELO
language English
format Digital
author Amendola,Mariangela
Moura,Carlos Antonio de
Zago,José Vitorio
Pulino,Petronio
Gomes Neto,Francisco de Assis M.
spellingShingle Amendola,Mariangela
Moura,Carlos Antonio de
Zago,José Vitorio
Pulino,Petronio
Gomes Neto,Francisco de Assis M.
Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm
author_facet Amendola,Mariangela
Moura,Carlos Antonio de
Zago,José Vitorio
Pulino,Petronio
Gomes Neto,Francisco de Assis M.
author_sort Amendola,Mariangela
title Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm
title_short Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm
title_full Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm
title_fullStr Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm
title_full_unstemmed Numerical Simulation of the Cavitation in the Hydrodynamic Lubrication of Journal Bearings: a Parallel Algorithm
title_sort numerical simulation of the cavitation in the hydrodynamic lubrication of journal bearings: a parallel algorithm
description In this paper we present an algorithm for the numerical simulation of the cavitation in the hydrodynamic lubrication of journal bearings. Despite the fact that this physical process is usually modelled as a free boundary problem, we adopted the equivalent variational inequality formulation. We propose a two-level iterative algorithm, where the outer iteration is associated to the penalty method, used to transform the variational inequality into a variational equation, and the inner iteration is associated to the conjugate gradient method, used to solve the linear system generated by applying the finite element method to the variational equation. This inner part was implemented using the element by element strategy, which is easily parallelized. We analyse the behavior of two physical parameters and discuss some numerical results. Also, we analyse some results related to the performance of a parallel implementation of the algorithm.
publisher The Brazilian Society of Mechanical Sciences
publishDate 2001
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73862001000300006
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