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...

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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
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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
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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 - 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