Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains

O. Pironneau*, J. Liou, T. Tezduyar

*この研究の対応する著者

研究成果: Article査読

66 被引用数 (Scopus)

抄録

For the advection-diffusion equation, the characteristic-Galerkin formulations are obtained by temporal discretization of the total derivative. These formulations, by construction, are Eulerian-Lagrangian, and therefore can handle time-dependent domains without difficulty. The Galerkin/least-squares space-time formulation, on the other hand, is written over the space-time domain of a problem, and therefore can handle time-dependent domains with no implementational difficulty. The purpose of this paper is to compare these two formulations based on error estimates and numerical performance, in the context of the advection-diffusion equation.

本文言語English
ページ(範囲)117-141
ページ数25
ジャーナルComputer Methods in Applied Mechanics and Engineering
100
1
DOI
出版ステータスPublished - 1992 10
外部発表はい

ASJC Scopus subject areas

  • 計算力学
  • 材料力学
  • 機械工学
  • 物理学および天文学(全般)
  • コンピュータ サイエンスの応用

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