Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids
Implicit methods based on the Newton’s rootfinding algorithm are receiving an increasing attention for the solution of complex Computational Fluid Dynamics (CFD) applications due to their potential to converge in a very small number of iterations. This approach requires fast convergence acceleration...
- Autores:
- Tipo de recurso:
- Book
- Fecha de publicación:
- 2018
- Institución:
- Universidad de Bogotá Jorge Tadeo Lozano
- Repositorio:
- Expeditio: repositorio UTadeo
- Idioma:
- eng
- OAI Identifier:
- oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/16702
- Acceso en línea:
- http://hdl.handle.net/20.500.12010/16702
- Palabra clave:
- Algoritmo
Dinámica de fluidos computacional
Ecuaciones de Navier-Stokes promediadas por Reynolds
métodos multinivel
- Rights
- License
- Abierto (Texto Completo)
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oai_identifier_str |
oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/16702 |
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UTADEO2 |
network_name_str |
Expeditio: repositorio UTadeo |
repository_id_str |
|
dc.title.spa.fl_str_mv |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
title |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
spellingShingle |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids Algoritmo Dinámica de fluidos computacional Ecuaciones de Navier-Stokes promediadas por Reynolds métodos multinivel |
title_short |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
title_full |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
title_fullStr |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
title_full_unstemmed |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
title_sort |
Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured Grids |
dc.subject.spa.fl_str_mv |
Algoritmo |
topic |
Algoritmo Dinámica de fluidos computacional Ecuaciones de Navier-Stokes promediadas por Reynolds métodos multinivel |
dc.subject.lemb.spa.fl_str_mv |
Dinámica de fluidos computacional Ecuaciones de Navier-Stokes promediadas por Reynolds métodos multinivel |
description |
Implicit methods based on the Newton’s rootfinding algorithm are receiving an increasing attention for the solution of complex Computational Fluid Dynamics (CFD) applications due to their potential to converge in a very small number of iterations. This approach requires fast convergence acceleration techniques in order to compete with other conventional solvers, such as those based on artificial dissipation or upwind schemes, in terms of CPU time. In this chapter, we describe a multilevel variable-block Schur-complement-based preconditioning for the implicit solution of the Reynolds-averaged Navier-Stokes equations using unstructured grids on distributed-memory parallel computers. The proposed solver detects automatically exact or approximate dense structures in the linear system arising from the discretization, and exploits this information to enhance the robustness and improve the scalability of the block factorization. A complete study of the numerical and parallel performance of the solver is presented for the analysis of turbulent Navier-Stokes equations on a suite of three-dimensional test cases. |
publishDate |
2018 |
dc.date.created.none.fl_str_mv |
2018-02-14 |
dc.date.accessioned.none.fl_str_mv |
2021-01-18T21:00:53Z |
dc.date.available.none.fl_str_mv |
2021-01-18T21:00:53Z |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2f33 |
format |
http://purl.org/coar/resource_type/c_2f33 |
dc.identifier.isbn.none.fl_str_mv |
|
dc.identifier.uri.none.fl_str_mv |
http://hdl.handle.net/20.500.12010/16702 |
dc.identifier.doi.none.fl_str_mv |
|
identifier_str_mv |
|
url |
http://hdl.handle.net/20.500.12010/16702 |
dc.language.iso.spa.fl_str_mv |
eng |
language |
eng |
dc.relation.references.spa.fl_str_mv |
Bruno Carpentieri and Aldo Bonfiglioli (February 14th 2018). Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids, Computational Fluid Dynamics - Basic Instruments and Applications in Science, Adela Ionescu, IntechOpen, DOI: 10.5772/intechopen.72043. |
dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.local.spa.fl_str_mv |
Abierto (Texto Completo) |
dc.rights.creativecommons.none.fl_str_mv |
|
rights_invalid_str_mv |
Abierto (Texto Completo) http://purl.org/coar/access_right/c_abf2 |
dc.format.extent.spa.fl_str_mv |
31 páginas |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Open access peer-reviewed chapter |
institution |
Universidad de Bogotá Jorge Tadeo Lozano |
bitstream.url.fl_str_mv |
https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16702/1/Multilevel%20Variable-Block%20Schur-Complement-Based_31.pdf https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16702/2/license.txt https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16702/3/Multilevel%20Variable-Block%20Schur-Complement-Based_31.pdf.jpg |
bitstream.checksum.fl_str_mv |
33967d6efda7ad302198a6e999912509 abceeb1c943c50d3343516f9dbfc110f f94e49470bc040d7eddeeca6b23f4786 |
bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositorio Institucional - Universidad Jorge Tadeo Lozano |
repository.mail.fl_str_mv |
expeditio@utadeo.edu.co |
_version_ |
1814213607872790528 |
spelling |
2021-01-18T21:00:53Z2021-01-18T21:00:53Z2018-02-14http://hdl.handle.net/20.500.12010/1670231 páginasapplication/pdfengOpen access peer-reviewed chapterAlgoritmoDinámica de fluidos computacionalEcuaciones de Navier-Stokes promediadas por Reynoldsmétodos multinivelMultilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds-Averaged Navier-Stokes Equations Using Unstructured GridsAbierto (Texto Completo)http://purl.org/coar/access_right/c_abf2Bruno Carpentieri and Aldo Bonfiglioli (February 14th 2018). Multilevel Variable-Block Schur-Complement-Based Preconditioning for the Implicit Solution of the Reynolds- Averaged Navier-Stokes Equations Using Unstructured Grids, Computational Fluid Dynamics - Basic Instruments and Applications in Science, Adela Ionescu, IntechOpen, DOI: 10.5772/intechopen.72043.Implicit methods based on the Newton’s rootfinding algorithm are receiving an increasing attention for the solution of complex Computational Fluid Dynamics (CFD) applications due to their potential to converge in a very small number of iterations. This approach requires fast convergence acceleration techniques in order to compete with other conventional solvers, such as those based on artificial dissipation or upwind schemes, in terms of CPU time. In this chapter, we describe a multilevel variable-block Schur-complement-based preconditioning for the implicit solution of the Reynolds-averaged Navier-Stokes equations using unstructured grids on distributed-memory parallel computers. The proposed solver detects automatically exact or approximate dense structures in the linear system arising from the discretization, and exploits this information to enhance the robustness and improve the scalability of the block factorization. A complete study of the numerical and parallel performance of the solver is presented for the analysis of turbulent Navier-Stokes equations on a suite of three-dimensional test cases.http://purl.org/coar/resource_type/c_2f33Carpentieri, BrunoBonfiglioli, AldoORIGINALMultilevel Variable-Block Schur-Complement-Based_31.pdfMultilevel Variable-Block Schur-Complement-Based_31.pdfVer documentoapplication/pdf1643903https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16702/1/Multilevel%20Variable-Block%20Schur-Complement-Based_31.pdf33967d6efda7ad302198a6e999912509MD51open accessLICENSElicense.txtlicense.txttext/plain; charset=utf-82938https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16702/2/license.txtabceeb1c943c50d3343516f9dbfc110fMD52open accessTHUMBNAILMultilevel Variable-Block Schur-Complement-Based_31.pdf.jpgMultilevel Variable-Block Schur-Complement-Based_31.pdf.jpgIM Thumbnailimage/jpeg11607https://expeditiorepositorio.utadeo.edu.co/bitstream/20.500.12010/16702/3/Multilevel%20Variable-Block%20Schur-Complement-Based_31.pdf.jpgf94e49470bc040d7eddeeca6b23f4786MD53open access20.500.12010/16702oai:expeditiorepositorio.utadeo.edu.co:20.500.12010/167022021-01-18 16:00:53.522open accessRepositorio Institucional - Universidad Jorge Tadeo Lozanoexpeditio@utadeo.edu.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 |