Stabilization and discontinuity-capturing parameters for space–time flow computations with finite element and isogeometric discretizations

Kenji Takizawa*, Tayfun E. Tezduyar, Yuto Otoguro

*この研究の対応する著者

研究成果: Article査読

51 被引用数 (Scopus)

抄録

Stabilized methods, which have been very common in flow computations for many years, typically involve stabilization parameters, and discontinuity-capturing (DC) parameters if the method is supplemented with a DC term. Various well-performing stabilization and DC parameters have been introduced for stabilized space–time (ST) computational methods in the context of the advection–diffusion equation and the Navier–Stokes equations of incompressible and compressible flows. These parameters were all originally intended for finite element discretization but quite often used also for isogeometric discretization. The stabilization and DC parameters we present here for ST computations are in the context of the advection–diffusion equation and the Navier–Stokes equations of incompressible flows, target isogeometric discretization, and are also applicable to finite element discretization. The parameters are based on a direction-dependent element length expression. The expression is outcome of an easy to understand derivation. The key components of the derivation are mapping the direction vector from the physical ST element to the parent ST element, accounting for the discretization spacing along each of the parametric coordinates, and mapping what we have in the parent element back to the physical element. The test computations we present for pure-advection cases show that the parameters proposed result in good solution profiles.

本文言語English
ページ(範囲)1169-1186
ページ数18
ジャーナルComputational Mechanics
62
5
DOI
出版ステータスPublished - 2018 11月 1

ASJC Scopus subject areas

  • 計算力学
  • 海洋工学
  • 機械工学
  • 計算理論と計算数学
  • 計算数学
  • 応用数学

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