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AN IMPLICIT WELL-POSED LAGRANGIAN SCHEME FOR NONVISCOUS COMPRESSIBLE FLUIDS IN HIGH DIMENSION.

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Title: AN IMPLICIT WELL-POSED LAGRANGIAN SCHEME FOR NONVISCOUS COMPRESSIBLE FLUIDS IN HIGH DIMENSION.
Authors: DEL PINO, STÉPHANE1 stephane.delpino@cea.fr, DESPRES, BRUNO2 bruno.despres@sorbonne-universite.fr, PLESSIER, ALEXIANE3 alexiane.plessier@cea.fr
Source: SIAM Journal on Scientific Computing. 2025, Vol. 47 Issue 5, pA2636-A2671. 36p.
Subjects: Compressibility (Fluids), Inviscid flow, Finite volume method, Dimensional analysis, Flow stability (Fluid dynamics), Stability (Mechanics), Lagrangian functions
Abstract: We construct an implicit first-order Lagrangian scheme to approximate inviscid compressible gas dynamics in dimension d∈{1,2,3}. Our main theoretical result is that this finite volume scheme is unconditionally stable with regard to the time step, which means that solutions provided by the scheme ensure positivity of density and growth of physical entropy for all Δ⁢t>0. We detail the issues related to the displacement of the mesh in dimension d∈{1,2,3}. Finally, we illustrate the theoretical results with basic tests. [ABSTRACT FROM AUTHOR]
Copyright of SIAM Journal on Scientific Computing is the property of Society for Industrial & Applied Mathematics 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.)
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DbLabel: Engineering Source
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  Data: AN IMPLICIT WELL-POSED LAGRANGIAN SCHEME FOR NONVISCOUS COMPRESSIBLE FLUIDS IN HIGH DIMENSION.
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  Data: <searchLink fieldCode="DE" term="%22Compressibility+%28Fluids%29%22">Compressibility (Fluids)</searchLink><br /><searchLink fieldCode="DE" term="%22Inviscid+flow%22">Inviscid flow</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+volume+method%22">Finite volume method</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensional+analysis%22">Dimensional analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Flow+stability+%28Fluid+dynamics%29%22">Flow stability (Fluid dynamics)</searchLink><br /><searchLink fieldCode="DE" term="%22Stability+%28Mechanics%29%22">Stability (Mechanics)</searchLink><br /><searchLink fieldCode="DE" term="%22Lagrangian+functions%22">Lagrangian functions</searchLink>
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  Label: Abstract
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  Data: We construct an implicit first-order Lagrangian scheme to approximate inviscid compressible gas dynamics in dimension d∈{1,2,3}. Our main theoretical result is that this finite volume scheme is unconditionally stable with regard to the time step, which means that solutions provided by the scheme ensure positivity of density and growth of physical entropy for all Δ⁢t>0. We detail the issues related to the displacement of the mesh in dimension d∈{1,2,3}. Finally, we illustrate the theoretical results with basic tests. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
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  Group: Ab
  Data: <i>Copyright of SIAM Journal on Scientific Computing is the property of Society for Industrial & Applied Mathematics 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.)
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        Value: 10.1137/24M1644559
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      – Code: eng
        Text: English
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        PageCount: 36
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    Subjects:
      – SubjectFull: Compressibility (Fluids)
        Type: general
      – SubjectFull: Inviscid flow
        Type: general
      – SubjectFull: Finite volume method
        Type: general
      – SubjectFull: Dimensional analysis
        Type: general
      – SubjectFull: Flow stability (Fluid dynamics)
        Type: general
      – SubjectFull: Stability (Mechanics)
        Type: general
      – SubjectFull: Lagrangian functions
        Type: general
    Titles:
      – TitleFull: AN IMPLICIT WELL-POSED LAGRANGIAN SCHEME FOR NONVISCOUS COMPRESSIBLE FLUIDS IN HIGH DIMENSION.
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            NameFull: DESPRES, BRUNO
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            NameFull: PLESSIER, ALEXIANE
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            – D: 01
              M: 09
              Text: 2025
              Type: published
              Y: 2025
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