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Fourier analysis of an equal-order incompressible flow solver stabilized by pressure gradient projection

Buscaglia, Gustavo C. ; Basombrío, Fernando G. ; Codina, Ramon

International journal for numerical methods in fluids, 2000-09, Vol.34 (1), p.65-92 [Periódico revisado por pares]

Chichester, UK: John Wiley & Sons, Ltd

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  • Título:
    Fourier analysis of an equal-order incompressible flow solver stabilized by pressure gradient projection
  • Autor: Buscaglia, Gustavo C. ; Basombrío, Fernando G. ; Codina, Ramon
  • Assuntos: Computational methods in fluid dynamics ; Exact sciences and technology ; Fluid dynamics ; Fundamental areas of phenomenology (including applications) ; incompressible flow ; Physics ; spurious pressure wave ; stabilized methods ; von Neumann's analysis
  • É parte de: International journal for numerical methods in fluids, 2000-09, Vol.34 (1), p.65-92
  • Notas: ArticleID:FLD56
    Agencia Nacional de Promoción Científica y Tecnológica - PICT97 No. 12-00000-00982; No. PMT-PICT 0392; No. BID 802/OC
    ark:/67375/WNG-RD7329GZ-Q
    istex:B9172D28C7B55572851DBB9CF436291195656ECF
    ObjectType-Article-2
    SourceType-Scholarly Journals-1
    ObjectType-Feature-1
    content type line 23
  • Descrição: Fourier analysis techniques are applied to the stabilized finite element method (FEM) recently proposed by Codina and Blasco for the approximation of the incompressible Navier–Stokes equations, here denoted by pressure gradient projection (SPGP) method. The analysis is motivated by spurious waves that pollute the computed pressure in start‐up flow simulation. An example of this spurious phenomenon is reported. It is shown that Fourier techniques can predict the numerical behaviour of stabilized methods with remarkable accuracy, even though the original Navier–Stokes setting must be significantly simplified to apply them. In the steady state case, good estimates for the stabilization parameters are obtained. In the transient case, spurious long waves are shown to be persistent when the element Reynolds number is large and the Courant number is small. This can be avoided by treating the pressure gradient projection implicitly, though this implies additional computing effort. Standard extrapolation variants are unfortunately unstable. Comparisons with Galerkin–least‐squares (GLS) method and Chorin's projection method are also addressed. Copyright © 2000 John Wiley & Sons, Ltd.
  • Editor: Chichester, UK: John Wiley & Sons, Ltd
  • Idioma: Inglês
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  • Realização: ABCD-USP USP   Logos de Redes Sociais: Freepik

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