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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The Brazilian Society of Mechanical Sciences
2001
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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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Amendola,Mariangela Moura,Carlos Antonio de Zago,José Vitorio Pulino,Petronio Gomes Neto,Francisco de Assis M. |
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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. |
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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 |
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http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0100-73862001000300006 |
work_keys_str_mv |
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