Parallel embedded boundary methods for fluid and rigid-body interaction

The implementations of an updated body-fitted and a non body-fitted method to deal with the interaction of a fluid and a rigid body are described. The physics of the fluid is modeled by the incompressible Navier-Stokes equations. A parallel fluid solver based on the VMS (Variational Multiscale) Fini...

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Autor: Samaniego Alvarado, Esteban Patricio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Ecuador
Institución:Universidad de Cuenca
Repositorio:Repositorio Universidad de Cuenca
OAI Identifier:oai:dspace.ucuenca.edu.ec:123456789/21993
Acceso en línea:https://www.scopus.com/inward/record.uri?eid=2-s2.0-84927537313&doi=10.1016%2fj.cma.2015.03.008&partnerID=40&md5=325ae7f2976c3b39d199fc490f96b623
http://dspace.ucuenca.edu.ec/handle/123456789/21993
Access Level:acceso abierto
Palabra clave:Embedded Boundary Method
Finite Element Method
Fluid And Rigid-Body Interaction
Fmale
Navier-Stokes
Parallelization
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spelling Parallel embedded boundary methods for fluid and rigid-body interactionSamaniego Alvarado, Esteban PatricioEmbedded Boundary MethodFinite Element MethodFluid And Rigid-Body InteractionFmaleNavier-StokesParallelizationThe implementations of an updated body-fitted and a non body-fitted method to deal with the interaction of a fluid and a rigid body are described. The physics of the fluid is modeled by the incompressible Navier-Stokes equations. A parallel fluid solver based on the VMS (Variational Multiscale) Finite Element method serves as the basis for the implementation. For the rigid body movement, the Newton-Euler equations are solved numerically. To account for the interaction, the force that the fluid exerts on the rigid body is determined, on the one hand. On the other hand, the velocity of the rigid body is imposed as a Dirichlet boundary condition on the fluid. A fixed Eulerian mesh discretizes the fluid domain, except for nodes in the vicinity of the rigid body boundary for the case of the updated body-fitted approach. The wet boundary of the rigid body is embedded in the fluid mesh and tracked by a moving surface mesh. It is a distinctive characteristic of the updated body-fitted strategy that, in order to impose velocities on the interface, some of the nodes near the body surface are moved by using a local r-adaptivity algorithm to conform with this surface. By contrast, the non body-fitted approach uses kriging interpolation for velocity prescription over the fluid on the interface. Given that fluid nodes can become solid nodes and vice versa due to the rigid body movement, we have adopted the FMALE approach, a variation of the ALE method to keep the fluid mesh fixed. Algorithms to ensure high performance, like skd-trees to determine if a given spatial point is currently inside the solid, are also used. All these ingredients constitute two approaches that are both computationally efficient and accurate. Numerical experiments are presented to assess their performance comparatively.ELSEVIER2018-01-11T21:21:50Z2018-01-11T21:21:50Z2015-06-05info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdf457825https://www.scopus.com/inward/record.uri?eid=2-s2.0-84927537313&doi=10.1016%2fj.cma.2015.03.008&partnerID=40&md5=325ae7f2976c3b39d199fc490f96b623http://dspace.ucuenca.edu.ec/handle/123456789/2199310.1016/j.cma.2015.03.008Computer Methods in Applied Mechanics and Engineeringreponame:Repositorio Universidad de Cuencainstname:Universidad de Cuencainstacron:UCUENCAen_USinfo:eu-repo/semantics/openAccess2020-08-01T01:16:16Zoai:dspace.ucuenca.edu.ec:123456789/21993Institucionalhttp://dspace.ucuenca.edu.ec/Universidad públicahttps://www.ucuenca.edu.ec/http://dspace.ucuenca.edu.ec/oai.Ecuador...opendoar:41862020-08-01T01:16:16Repositorio Universidad de Cuenca - Universidad de Cuencafalse
dc.title.none.fl_str_mv Parallel embedded boundary methods for fluid and rigid-body interaction
title Parallel embedded boundary methods for fluid and rigid-body interaction
spellingShingle Parallel embedded boundary methods for fluid and rigid-body interaction
Samaniego Alvarado, Esteban Patricio
Embedded Boundary Method
Finite Element Method
Fluid And Rigid-Body Interaction
Fmale
Navier-Stokes
Parallelization
title_short Parallel embedded boundary methods for fluid and rigid-body interaction
title_full Parallel embedded boundary methods for fluid and rigid-body interaction
title_fullStr Parallel embedded boundary methods for fluid and rigid-body interaction
title_full_unstemmed Parallel embedded boundary methods for fluid and rigid-body interaction
title_sort Parallel embedded boundary methods for fluid and rigid-body interaction
dc.creator.none.fl_str_mv Samaniego Alvarado, Esteban Patricio
author Samaniego Alvarado, Esteban Patricio
author_facet Samaniego Alvarado, Esteban Patricio
author_role author
dc.subject.none.fl_str_mv Embedded Boundary Method
Finite Element Method
Fluid And Rigid-Body Interaction
Fmale
Navier-Stokes
Parallelization
topic Embedded Boundary Method
Finite Element Method
Fluid And Rigid-Body Interaction
Fmale
Navier-Stokes
Parallelization
description The implementations of an updated body-fitted and a non body-fitted method to deal with the interaction of a fluid and a rigid body are described. The physics of the fluid is modeled by the incompressible Navier-Stokes equations. A parallel fluid solver based on the VMS (Variational Multiscale) Finite Element method serves as the basis for the implementation. For the rigid body movement, the Newton-Euler equations are solved numerically. To account for the interaction, the force that the fluid exerts on the rigid body is determined, on the one hand. On the other hand, the velocity of the rigid body is imposed as a Dirichlet boundary condition on the fluid. A fixed Eulerian mesh discretizes the fluid domain, except for nodes in the vicinity of the rigid body boundary for the case of the updated body-fitted approach. The wet boundary of the rigid body is embedded in the fluid mesh and tracked by a moving surface mesh. It is a distinctive characteristic of the updated body-fitted strategy that, in order to impose velocities on the interface, some of the nodes near the body surface are moved by using a local r-adaptivity algorithm to conform with this surface. By contrast, the non body-fitted approach uses kriging interpolation for velocity prescription over the fluid on the interface. Given that fluid nodes can become solid nodes and vice versa due to the rigid body movement, we have adopted the FMALE approach, a variation of the ALE method to keep the fluid mesh fixed. Algorithms to ensure high performance, like skd-trees to determine if a given spatial point is currently inside the solid, are also used. All these ingredients constitute two approaches that are both computationally efficient and accurate. Numerical experiments are presented to assess their performance comparatively.
publishDate 2015
dc.date.none.fl_str_mv 2015-06-05
2018-01-11T21:21:50Z
2018-01-11T21:21:50Z
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format article
status_str publishedVersion
dc.identifier.none.fl_str_mv 457825
https://www.scopus.com/inward/record.uri?eid=2-s2.0-84927537313&doi=10.1016%2fj.cma.2015.03.008&partnerID=40&md5=325ae7f2976c3b39d199fc490f96b623
http://dspace.ucuenca.edu.ec/handle/123456789/21993
10.1016/j.cma.2015.03.008
identifier_str_mv 457825
10.1016/j.cma.2015.03.008
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http://dspace.ucuenca.edu.ec/handle/123456789/21993
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dc.publisher.none.fl_str_mv ELSEVIER
publisher.none.fl_str_mv ELSEVIER
dc.source.none.fl_str_mv Computer Methods in Applied Mechanics and Engineering
reponame:Repositorio Universidad de Cuenca
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instacron:UCUENCA
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