View in EDS

Artificial compressibility Godunov fluxes for variable density incompressible flows.

Saved in:
Bibliographic Details
Title: Artificial compressibility Godunov fluxes for variable density incompressible flows.
Authors: Bassi, F.1, Massa, F.1 francescocarlo.massa@unibg.it, Botti, L.1, Colombo, A.1
Source: Computers & Fluids. Jun2018, Vol. 169, p186-200. 15p.
Subjects: Incompressible flow, Riemann-Hilbert problems, Euler equations, Godunov method, Navier-Stokes equations
Abstract: In this work we present and compare three Riemann solvers for the artificial compressibility perturbation of the 1D variable density incompressible Euler equations. The goal is to devise an artificial compressibility flux formulation to be used in Finite Volume or discontinuous Galerkin discretizations of the variable density incompressible Navier–Stokes equations. Starting from the constant density case, two Riemann solvers taking into account density jumps at fluid interfaces are first proposed. By enforcing the divergence free constraint in the continuity equation, these approximate Riemann solvers deal with density as a purely advected quantity. Secondly, by retaining the conservative form of the continuity equation, the exact Riemann solver is derived. The variable density solution is fully coupled with velocity and pressure unknowns. The Riemann solvers are compared and analysed in terms of robustness on harsh 1D Riemann problems. The extension to multidimensional problems is described. The effectiveness of the exact Riemann solver is demonstrated in the context of an high-order accurate discontinuous Galerkin discretization of variable density incompressible flow problems. We numerically validate the implementation considering the Kovasznay test case and the Rayleigh–Taylor instability problem. [ABSTRACT FROM AUTHOR]
Copyright of Computers & Fluids is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
FullText Text:
  Availability: 0
Header DbId: egs
DbLabel: Engineering Source
An: 129995987
AccessLevel: 6
PubType: Periodical
PubTypeId: serialPeriodical
PreciseRelevancyScore: 0
IllustrationInfo
Items – Name: Title
  Label: Title
  Group: Ti
  Data: Artificial compressibility Godunov fluxes for variable density incompressible flows.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Bassi%2C+F%2E%22">Bassi, F.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Massa%2C+F%2E%22">Massa, F.</searchLink><relatesTo>1</relatesTo><i> francescocarlo.massa@unibg.it</i><br /><searchLink fieldCode="AR" term="%22Botti%2C+L%2E%22">Botti, L.</searchLink><relatesTo>1</relatesTo><br /><searchLink fieldCode="AR" term="%22Colombo%2C+A%2E%22">Colombo, A.</searchLink><relatesTo>1</relatesTo>
– Name: TitleSource
  Label: Source
  Group: Src
  Data: <searchLink fieldCode="JN" term="%22Computers+%26+Fluids%22">Computers & Fluids</searchLink>. Jun2018, Vol. 169, p186-200. 15p.
– Name: Subject
  Label: Subjects
  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Incompressible+flow%22">Incompressible flow</searchLink><br /><searchLink fieldCode="DE" term="%22Riemann-Hilbert+problems%22">Riemann-Hilbert problems</searchLink><br /><searchLink fieldCode="DE" term="%22Euler+equations%22">Euler equations</searchLink><br /><searchLink fieldCode="DE" term="%22Godunov+method%22">Godunov method</searchLink><br /><searchLink fieldCode="DE" term="%22Navier-Stokes+equations%22">Navier-Stokes equations</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: In this work we present and compare three Riemann solvers for the artificial compressibility perturbation of the 1D variable density incompressible Euler equations. The goal is to devise an artificial compressibility flux formulation to be used in Finite Volume or discontinuous Galerkin discretizations of the variable density incompressible Navier–Stokes equations. Starting from the constant density case, two Riemann solvers taking into account density jumps at fluid interfaces are first proposed. By enforcing the divergence free constraint in the continuity equation, these approximate Riemann solvers deal with density as a purely advected quantity. Secondly, by retaining the conservative form of the continuity equation, the exact Riemann solver is derived. The variable density solution is fully coupled with velocity and pressure unknowns. The Riemann solvers are compared and analysed in terms of robustness on harsh 1D Riemann problems. The extension to multidimensional problems is described. The effectiveness of the exact Riemann solver is demonstrated in the context of an high-order accurate discontinuous Galerkin discretization of variable density incompressible flow problems. We numerically validate the implementation considering the Kovasznay test case and the Rayleigh–Taylor instability problem. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computers & Fluids is the property of Pergamon Press - An Imprint of Elsevier Science and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
PLink https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=egs&AN=129995987
RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1016/j.compfluid.2017.09.010
    Languages:
      – Code: eng
        Text: English
    PhysicalDescription:
      Pagination:
        PageCount: 15
        StartPage: 186
    Subjects:
      – SubjectFull: Incompressible flow
        Type: general
      – SubjectFull: Riemann-Hilbert problems
        Type: general
      – SubjectFull: Euler equations
        Type: general
      – SubjectFull: Godunov method
        Type: general
      – SubjectFull: Navier-Stokes equations
        Type: general
    Titles:
      – TitleFull: Artificial compressibility Godunov fluxes for variable density incompressible flows.
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Bassi, F.
      – PersonEntity:
          Name:
            NameFull: Massa, F.
      – PersonEntity:
          Name:
            NameFull: Botti, L.
      – PersonEntity:
          Name:
            NameFull: Colombo, A.
    IsPartOfRelationships:
      – BibEntity:
          Dates:
            – D: 30
              M: 06
              Text: Jun2018
              Type: published
              Y: 2018
          Identifiers:
            – Type: issn-print
              Value: 00457930
          Numbering:
            – Type: volume
              Value: 169
          Titles:
            – TitleFull: Computers & Fluids
              Type: main
ResultId 1