An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system

In this paper we propose an hp finite element method to solve a twodimensional fluid-structure vibration problem. This problem arises from the computation of the vibration modes of a bundle of parallel tubes immersed in an incompressible fluid. We use a residual-type a posteriori error indicator to...

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Autores principales: Armentano, Maria Gabriela, Padra, Claudio
Publicado: 2012
Materias:
Fluid structure interaction
Hp finite element adaptive method
Vibration problem
Adaptive methods
Adaptive strategy
Algebraic system
Algebraic techniques
Discretization process
Fluid-solid coupled
Fluid-structures
Generalized eigenvalue problems
Hp-finite element methods
Incompressible fluid
Numerical tests
Parallel tubes
Posteriori error indicator
Spectral problem
Vibration modes
Weak formulation
Adaptive algorithms
Algebra
Eigenvalues and eigenfunctions
Finite element method
Tubes (components)
Vibration analysis
Vibrating conveyors
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15261492_v84_n4_p359_Armentano
http://hdl.handle.net/20.500.12110/paper_15261492_v84_n4_p359_Armentano
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15261492_v84_n4_p359_Armentano
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spelling paper:paper_15261492_v84_n4_p359_Armentano2023-06-08T16:19:37Z An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system Armentano, Maria Gabriela Padra, Claudio Fluid structure interaction Hp finite element adaptive method Vibration problem Adaptive methods Adaptive strategy Algebraic system Algebraic techniques Discretization process Fluid-solid coupled Fluid-structures Generalized eigenvalue problems Hp-finite element methods Incompressible fluid Numerical tests Parallel tubes Posteriori error indicator Spectral problem Vibration modes Vibration problem Weak formulation Adaptive algorithms Algebra Eigenvalues and eigenfunctions Finite element method Fluid structure interaction Tubes (components) Vibration analysis Vibrating conveyors In this paper we propose an hp finite element method to solve a twodimensional fluid-structure vibration problem. This problem arises from the computation of the vibration modes of a bundle of parallel tubes immersed in an incompressible fluid. We use a residual-type a posteriori error indicator to guide an hp adaptive algorithm. Since the tubes are allowed to be different, the weak formulation is a non-standard generalized eigenvalue problem. This feature is inherited by the algebraic system obtained by the discretization process. We introduce an algebraic technique to solve this particular spectral problem. We report several numerical tests which allow us to assess the performance of the scheme. Copyright © 2012 Tech Science Press. Fil:Armentano, M.G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Padra, C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15261492_v84_n4_p359_Armentano http://hdl.handle.net/20.500.12110/paper_15261492_v84_n4_p359_Armentano
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Fluid structure interaction
Hp finite element adaptive method
Vibration problem
Adaptive methods
Adaptive strategy
Algebraic system
Algebraic techniques
Discretization process
Fluid-solid coupled
Fluid-structures
Generalized eigenvalue problems
Hp-finite element methods
Incompressible fluid
Numerical tests
Parallel tubes
Posteriori error indicator
Spectral problem
Vibration modes
Vibration problem
Weak formulation
Adaptive algorithms
Algebra
Eigenvalues and eigenfunctions
Finite element method
Fluid structure interaction
Tubes (components)
Vibration analysis
Vibrating conveyors
spellingShingle Fluid structure interaction
Hp finite element adaptive method
Vibration problem
Adaptive methods
Adaptive strategy
Algebraic system
Algebraic techniques
Discretization process
Fluid-solid coupled
Fluid-structures
Generalized eigenvalue problems
Hp-finite element methods
Incompressible fluid
Numerical tests
Parallel tubes
Posteriori error indicator
Spectral problem
Vibration modes
Vibration problem
Weak formulation
Adaptive algorithms
Algebra
Eigenvalues and eigenfunctions
Finite element method
Fluid structure interaction
Tubes (components)
Vibration analysis
Vibrating conveyors
Armentano, Maria Gabriela
Padra, Claudio
An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
topic_facet Fluid structure interaction
Hp finite element adaptive method
Vibration problem
Adaptive methods
Adaptive strategy
Algebraic system
Algebraic techniques
Discretization process
Fluid-solid coupled
Fluid-structures
Generalized eigenvalue problems
Hp-finite element methods
Incompressible fluid
Numerical tests
Parallel tubes
Posteriori error indicator
Spectral problem
Vibration modes
Vibration problem
Weak formulation
Adaptive algorithms
Algebra
Eigenvalues and eigenfunctions
Finite element method
Fluid structure interaction
Tubes (components)
Vibration analysis
Vibrating conveyors
description In this paper we propose an hp finite element method to solve a twodimensional fluid-structure vibration problem. This problem arises from the computation of the vibration modes of a bundle of parallel tubes immersed in an incompressible fluid. We use a residual-type a posteriori error indicator to guide an hp adaptive algorithm. Since the tubes are allowed to be different, the weak formulation is a non-standard generalized eigenvalue problem. This feature is inherited by the algebraic system obtained by the discretization process. We introduce an algebraic technique to solve this particular spectral problem. We report several numerical tests which allow us to assess the performance of the scheme. Copyright © 2012 Tech Science Press.
author Armentano, Maria Gabriela
Padra, Claudio
author_facet Armentano, Maria Gabriela
Padra, Claudio
author_sort Armentano, Maria Gabriela
title An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
title_short An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
title_full An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
title_fullStr An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
title_full_unstemmed An hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
title_sort hp adaptive strategy to compute the vibration modes of a fluid-solid coupled system
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15261492_v84_n4_p359_Armentano
http://hdl.handle.net/20.500.12110/paper_15261492_v84_n4_p359_Armentano
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