On the role of tracking on Eulerian-Lagrangian solutions of the transport equation

Anabela Oliveira, Antonio Baptista

Research output: Contribution to journalArticle

37 Citations (Scopus)

Abstract

We investigate the effect of tracking errors on the accuracy and stability of Eulerian-Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phase and diffusion) and may lead to the instability of otherwise stable and every accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows.

Original languageEnglish (US)
Pages (from-to)539-554
Number of pages16
JournalAdvances in Water Resources
Volume21
Issue number7
DOIs
StatePublished - Jun 15 1998

Fingerprint

simulation
effect
analysis
method

ASJC Scopus subject areas

  • Earth-Surface Processes

Cite this

On the role of tracking on Eulerian-Lagrangian solutions of the transport equation. / Oliveira, Anabela; Baptista, Antonio.

In: Advances in Water Resources, Vol. 21, No. 7, 15.06.1998, p. 539-554.

Research output: Contribution to journalArticle

@article{cdc113cff46e4072b2b2dacc0f56abf0,
title = "On the role of tracking on Eulerian-Lagrangian solutions of the transport equation",
abstract = "We investigate the effect of tracking errors on the accuracy and stability of Eulerian-Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phase and diffusion) and may lead to the instability of otherwise stable and every accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows.",
author = "Anabela Oliveira and Antonio Baptista",
year = "1998",
month = "6",
day = "15",
doi = "10.1016/S0309-1708(97)00022-5",
language = "English (US)",
volume = "21",
pages = "539--554",
journal = "Advances in Water Resources",
issn = "0309-1708",
publisher = "Elsevier Limited",
number = "7",

}

TY - JOUR

T1 - On the role of tracking on Eulerian-Lagrangian solutions of the transport equation

AU - Oliveira, Anabela

AU - Baptista, Antonio

PY - 1998/6/15

Y1 - 1998/6/15

N2 - We investigate the effect of tracking errors on the accuracy and stability of Eulerian-Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phase and diffusion) and may lead to the instability of otherwise stable and every accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows.

AB - We investigate the effect of tracking errors on the accuracy and stability of Eulerian-Lagrangian methods (ELMS) for the solution of the transport equation. A combination of formal analysis and numerical experimentation demonstrates that the effect is severe. Even moderate tracking errors substantially affect the preservation of the zeroth, first and second moments of concentration (mass, phase and diffusion) and may lead to the instability of otherwise stable and every accurate ELMs. The use of accurate tracking algorithms is strongly recommended for Eulerian-Lagrangian simulations involving complex flows.

UR - http://www.scopus.com/inward/record.url?scp=0032525638&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032525638&partnerID=8YFLogxK

U2 - 10.1016/S0309-1708(97)00022-5

DO - 10.1016/S0309-1708(97)00022-5

M3 - Article

AN - SCOPUS:0032525638

VL - 21

SP - 539

EP - 554

JO - Advances in Water Resources

JF - Advances in Water Resources

SN - 0309-1708

IS - 7

ER -