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

O. Pironneau, J. Liou, Tayfun E. Tezduyar

Research output: Contribution to journalArticle

60 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)117-141
Number of pages25
JournalComputer Methods in Applied Mechanics and Engineering
Volume100
Issue number1
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

Advection
advection
formulations
Derivatives
estimates

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Physics and Astronomy(all)
  • Computer Science Applications

Cite this

@article{47c585f95e874e88b50198f000d05771,
title = "Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains",
abstract = "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.",
author = "O. Pironneau and J. Liou and Tezduyar, {Tayfun E.}",
year = "1992",
doi = "10.1016/0045-7825(92)90116-2",
language = "English",
volume = "100",
pages = "117--141",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "1",

}

TY - JOUR

T1 - Characteristic-Galerkin and Galerkin/least-squares space-time formulations for the advection-diffusion equation with time-dependent domains

AU - Pironneau, O.

AU - Liou, J.

AU - Tezduyar, Tayfun E.

PY - 1992

Y1 - 1992

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0026938120&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026938120&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(92)90116-2

DO - 10.1016/0045-7825(92)90116-2

M3 - Article

AN - SCOPUS:0026938120

VL - 100

SP - 117

EP - 141

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 1

ER -