In EDS ansehen

Numerical stability of a fixed point iterative method to determine patterns of turbulent flow in a rectangular cavity with different aspect ratios

Gespeichert in:
Bibliographische Detailangaben
Titel: Numerical stability of a fixed point iterative method to determine patterns of turbulent flow in a rectangular cavity with different aspect ratios
Autoren: Bermúdez, B., Rangel-Huerta, A., Alanís, D., Guerrero S., W. Fermín
Verlagsinformationen: CIMNE
Publikationsjahr: 2017
Bestand: Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
Schlagwörter: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits, Finite element method, Coupled problems (Complex systems) -- Numerical solutions, Navier-Stokes equations, Stream Function-vorticity formulation, Velocity- vorticity formulation, fixed point iterative method, Elements finits, Mètode dels
Beschreibung: 2D isothermal viscous incompressible flows are presented from the Navier- Stokes equations in the Stream function-vorticity formulation and in the velocity-vorticity formulation. The simulation is made using a numerical method based on a fixed point it- erative process to solve the nonlinear elliptic system that results after time discretization. The iterative process leads us to the solution of uncoupled, well-conditioned, symmetric linear elliptic problems from which efficient solvers exist regardless of the space discretiza- tion. The experiments take place on the lid driven cavity problem for Reynolds numbers up to Re = 10000 and different aspect ratios A (A=ratio of the height to the width) A = 1 and A /= 1 such aAs = 1/2, till A = 3. It appears that with velocity and vorticity variables is more difficult to solve this kind of flows, at least with a numerical procedure similar to the one applied in stream function and vorticity variables to solve an analogous nonlinear elliptic system. To obtain such flows is not an easy task, especially with the velocity-vorticity formulation. We report here results for moderate Reynolds numbers (Re 10000), although with them enough effectiveness is achieved to be able to vary the aspect ratio of the cavity A, which causes the flow to be more unstable. Con- tribution in this work is to consider rectangular cavities of drag, which can impact on isothermal turbulent flow patterns. Another contribution is to include a wide region of the Reynolds number as well as different aspect ratios where we tested stability of the numerical scheme.
Publikationsart: conference object
Dateibeschreibung: 12 p.; application/pdf
Sprache: English
Relation: http://hdl.handle.net/2117/190973
Verfügbarkeit: http://hdl.handle.net/2117/190973
Rights: Open Access
Dokumentencode: edsbas.4D97CEC6
Datenbank: BASE
FullText Text:
  Availability: 0
CustomLinks:
  – Url: http://hdl.handle.net/2117/190973#
    Name: EDS - BASE (s4221598)
    Category: fullText
    Text: View record from BASE
  – Url: https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=EBSCO&SrcAuth=EBSCO&DestApp=WOS&ServiceName=TransferToWoS&DestLinkType=GeneralSearchSummary&Func=Links&author=Berm%C3%BAdez%20B
    Name: ISI
    Category: fullText
    Text: Nájsť tento článok vo Web of Science
    Icon: https://imagesrvr.epnet.com/ls/20docs.gif
    MouseOverText: Nájsť tento článok vo Web of Science
Header DbId: edsbas
DbLabel: BASE
An: edsbas.4D97CEC6
RelevancyScore: 886
AccessLevel: 3
PubType: Conference
PubTypeId: conference
PreciseRelevancyScore: 886.106628417969
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Numerical stability of a fixed point iterative method to determine patterns of turbulent flow in a rectangular cavity with different aspect ratios
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bermúdez%2C+B%2E%22">Bermúdez, B.</searchLink><br /><searchLink fieldCode="AR" term="%22Rangel-Huerta%2C+A%2E%22">Rangel-Huerta, A.</searchLink><br /><searchLink fieldCode="AR" term="%22Alanís%2C+D%2E%22">Alanís, D.</searchLink><br /><searchLink fieldCode="AR" term="%22Guerrero+S%2E%2C+W%2E+Fermín%22">Guerrero S., W. Fermín</searchLink>
– Name: Publisher
  Label: Publisher Information
  Group: PubInfo
  Data: CIMNE
– Name: DatePubCY
  Label: Publication Year
  Group: Date
  Data: 2017
– Name: Subset
  Label: Collection
  Group: HoldingsInfo
  Data: Universitat Politècnica de Catalunya, BarcelonaTech: UPCommons - Global access to UPC knowledge
– Name: Subject
  Label: Subject Terms
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Àrees+temàtiques+de+la+UPC%3A%3AMatemàtiques+i+estadística%3A%3AAnàlisi+numèrica%3A%3AMètodes+en+elements+finits%22">Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink><br /><searchLink fieldCode="DE" term="%22Coupled+problems+%28Complex+systems%29+--+Numerical+solutions%22">Coupled problems (Complex systems) -- Numerical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink><br /><searchLink fieldCode="DE" term="%22Stream+Function-vorticity+formulation%22">Stream Function-vorticity formulation</searchLink><br /><searchLink fieldCode="DE" term="%22Velocity-+vorticity+formulation%22">Velocity- vorticity formulation</searchLink><br /><searchLink fieldCode="DE" term="%22fixed+point+iterative+method%22">fixed point iterative method</searchLink><br /><searchLink fieldCode="DE" term="%22Elements+finits%22">Elements finits</searchLink><br /><searchLink fieldCode="DE" term="%22Mètode+dels%22">Mètode dels</searchLink>
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 2D isothermal viscous incompressible flows are presented from the Navier- Stokes equations in the Stream function-vorticity formulation and in the velocity-vorticity formulation. The simulation is made using a numerical method based on a fixed point it- erative process to solve the nonlinear elliptic system that results after time discretization. The iterative process leads us to the solution of uncoupled, well-conditioned, symmetric linear elliptic problems from which efficient solvers exist regardless of the space discretiza- tion. The experiments take place on the lid driven cavity problem for Reynolds numbers up to Re = 10000 and different aspect ratios A (A=ratio of the height to the width) A = 1 and A /= 1 such aAs = 1/2, till A = 3. It appears that with velocity and vorticity variables is more difficult to solve this kind of flows, at least with a numerical procedure similar to the one applied in stream function and vorticity variables to solve an analogous nonlinear elliptic system. To obtain such flows is not an easy task, especially with the velocity-vorticity formulation. We report here results for moderate Reynolds numbers (Re 10000), although with them enough effectiveness is achieved to be able to vary the aspect ratio of the cavity A, which causes the flow to be more unstable. Con- tribution in this work is to consider rectangular cavities of drag, which can impact on isothermal turbulent flow patterns. Another contribution is to include a wide region of the Reynolds number as well as different aspect ratios where we tested stability of the numerical scheme.
– Name: TypeDocument
  Label: Document Type
  Group: TypDoc
  Data: conference object
– Name: Format
  Label: File Description
  Group: SrcInfo
  Data: 12 p.; application/pdf
– Name: Language
  Label: Language
  Group: Lang
  Data: English
– Name: NoteTitleSource
  Label: Relation
  Group: SrcInfo
  Data: http://hdl.handle.net/2117/190973
– Name: URL
  Label: Availability
  Group: URL
  Data: http://hdl.handle.net/2117/190973
– Name: Copyright
  Label: Rights
  Group: Cpyrght
  Data: Open Access
– Name: AN
  Label: Accession Number
  Group: ID
  Data: edsbas.4D97CEC6
PLink https://erproxy.cvtisr.sk/sfx/access?url=https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsbas&AN=edsbas.4D97CEC6
RecordInfo BibRecord:
  BibEntity:
    Languages:
      – Text: English
    Subjects:
      – SubjectFull: Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits
        Type: general
      – SubjectFull: Finite element method
        Type: general
      – SubjectFull: Coupled problems (Complex systems) -- Numerical solutions
        Type: general
      – SubjectFull: Navier-Stokes equations
        Type: general
      – SubjectFull: Stream Function-vorticity formulation
        Type: general
      – SubjectFull: Velocity- vorticity formulation
        Type: general
      – SubjectFull: fixed point iterative method
        Type: general
      – SubjectFull: Elements finits
        Type: general
      – SubjectFull: Mètode dels
        Type: general
    Titles:
      – TitleFull: Numerical stability of a fixed point iterative method to determine patterns of turbulent flow in a rectangular cavity with different aspect ratios
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bermúdez, B.
      – PersonEntity:
          Name:
            NameFull: Rangel-Huerta, A.
      – PersonEntity:
          Name:
            NameFull: Alanís, D.
      – PersonEntity:
          Name:
            NameFull: Guerrero S., W. Fermín
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
          Identifiers:
            – Type: issn-locals
              Value: edsbas
            – Type: issn-locals
              Value: edsbas.oa
ResultId 1