A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure

II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

Tayfun E. Tezduyar, M. Behr, S. Mittal, J. Liou

Research output: Contribution to journalArticle

479 Citations (Scopus)

Abstract

New finite element computational strategies for free-surface flows, two-liquid flows, and flows with drifting cylinders are presented. These strategies are based on the deforming spatial-domain/spacetime (DSD/ST) procedure. In the DSD/ST approach, the stabilized variational formulations for these types of flow problem are written over their space-time domains. One of the important features of the approach is that it enables one to circumvent the difficulty involved in remeshing every time step and thus reduces the projection errors introduced by such frequent remeshings. Computations are performed for various test problems mainly for the purpose of demonstrating the computational capability developed for this class of problems. In some of the test cases, such as the liquid drop problem, surface tension is taken into account. For flows involving drifting cylinders, the mesh moving and remeshing schemes proposed are convenient and reduce the frequency of remeshing.

Original languageEnglish
Pages (from-to)353-371
Number of pages19
JournalComputer Methods in Applied Mechanics and Engineering
Volume94
Issue number3
DOIs
Publication statusPublished - 1992
Externally publishedYes

Fingerprint

liquid flow
Liquids
Surface tension
mesh
interfacial tension
projection
formulations

ASJC Scopus subject areas

  • Computer Science Applications
  • Computational Mechanics

Cite this

@article{6673510a75cb46538eda1be667297e1c,
title = "A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure: II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders",
abstract = "New finite element computational strategies for free-surface flows, two-liquid flows, and flows with drifting cylinders are presented. These strategies are based on the deforming spatial-domain/spacetime (DSD/ST) procedure. In the DSD/ST approach, the stabilized variational formulations for these types of flow problem are written over their space-time domains. One of the important features of the approach is that it enables one to circumvent the difficulty involved in remeshing every time step and thus reduces the projection errors introduced by such frequent remeshings. Computations are performed for various test problems mainly for the purpose of demonstrating the computational capability developed for this class of problems. In some of the test cases, such as the liquid drop problem, surface tension is taken into account. For flows involving drifting cylinders, the mesh moving and remeshing schemes proposed are convenient and reduce the frequency of remeshing.",
author = "Tezduyar, {Tayfun E.} and M. Behr and S. Mittal and J. Liou",
year = "1992",
doi = "10.1016/0045-7825(92)90060-W",
language = "English",
volume = "94",
pages = "353--371",
journal = "Computer Methods in Applied Mechanics and Engineering",
issn = "0374-2830",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - A new strategy for finite element computations involving moving boundaries and interfaces-The deforming-spatial-domain/space-time procedure

T2 - II. Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders

AU - Tezduyar, Tayfun E.

AU - Behr, M.

AU - Mittal, S.

AU - Liou, J.

PY - 1992

Y1 - 1992

N2 - New finite element computational strategies for free-surface flows, two-liquid flows, and flows with drifting cylinders are presented. These strategies are based on the deforming spatial-domain/spacetime (DSD/ST) procedure. In the DSD/ST approach, the stabilized variational formulations for these types of flow problem are written over their space-time domains. One of the important features of the approach is that it enables one to circumvent the difficulty involved in remeshing every time step and thus reduces the projection errors introduced by such frequent remeshings. Computations are performed for various test problems mainly for the purpose of demonstrating the computational capability developed for this class of problems. In some of the test cases, such as the liquid drop problem, surface tension is taken into account. For flows involving drifting cylinders, the mesh moving and remeshing schemes proposed are convenient and reduce the frequency of remeshing.

AB - New finite element computational strategies for free-surface flows, two-liquid flows, and flows with drifting cylinders are presented. These strategies are based on the deforming spatial-domain/spacetime (DSD/ST) procedure. In the DSD/ST approach, the stabilized variational formulations for these types of flow problem are written over their space-time domains. One of the important features of the approach is that it enables one to circumvent the difficulty involved in remeshing every time step and thus reduces the projection errors introduced by such frequent remeshings. Computations are performed for various test problems mainly for the purpose of demonstrating the computational capability developed for this class of problems. In some of the test cases, such as the liquid drop problem, surface tension is taken into account. For flows involving drifting cylinders, the mesh moving and remeshing schemes proposed are convenient and reduce the frequency of remeshing.

UR - http://www.scopus.com/inward/record.url?scp=0026821471&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0026821471&partnerID=8YFLogxK

U2 - 10.1016/0045-7825(92)90060-W

DO - 10.1016/0045-7825(92)90060-W

M3 - Article

VL - 94

SP - 353

EP - 371

JO - Computer Methods in Applied Mechanics and Engineering

JF - Computer Methods in Applied Mechanics and Engineering

SN - 0374-2830

IS - 3

ER -