A weighted splitting approach for low-mach number flows

David Iampietro, Frédéric Daude, Pascal Galon, Jean Marc Hérard

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In steady-state regimes, water circulating in the nuclear power plants pipes behaves as a low Mach number flow. However, when steep phenomena occur, strong shock waves are produced. Herein, a fractional step approach allowing to decouple the convective from the acoustic effects is proposed. The originality is that the splitting between these two parts of the physics evolves dynamically in time according to the Mach number. The first one-dimensional explicit and implicit numerical results on a wide panel of Mach numbers show that this approach is as accurate and CPU-consuming as a state of the art Lagrange-Projection-type method.

Original languageEnglish
Title of host publicationFinite Volumes for Complex Applications VIII— Hyperbolic, Elliptic and Parabolic Problems - FVCA8 2017
EditorsPascal Omnes, Clement Cances
PublisherSpringer New York LLC
Pages3-11
Number of pages9
ISBN (Print)9783319573939
DOIs
Publication statusPublished - 1 Jan 2017
Externally publishedYes
Event8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017 - Lille, France
Duration: 12 Jun 201716 Jun 2017

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume200
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

Conference8th International Symposium on Finite Volumes for Complex Applications - Hyperbolic, Elliptic and Parabolic Problems, FVCA8 2017
Country/TerritoryFrance
CityLille
Period12/06/1716/06/17

Keywords

  • Fractional step
  • Hyperbolic
  • Low mach number flows
  • Operator splitting
  • Relaxation schemes

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