A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations

Hirofumi Notsu, Masahisa Tabata

Research output: Contribution to journalArticle

16 Citations (Scopus)

Abstract

In this paper we present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.

Original language English 1-14 14 Journal of Scientific Computing 38 1 https://doi.org/10.1007/s10915-008-9217-5 Published - 2009 Jan Yes

Fingerprint

Characteristic Curve
Incompressible Navier-Stokes Equations
Navier Stokes equations
Finite Element
Variational Formulation
Computational Results
Rate of Convergence
Term

Keywords

• Characteristic-curve
• Finite Element Method
• Second order in time
• The Navier-Stokes equations

ASJC Scopus subject areas

• Software
• Computational Theory and Mathematics
• Theoretical Computer Science
• Engineering(all)

Cite this

A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations. / Notsu, Hirofumi; Tabata, Masahisa.

In: Journal of Scientific Computing, Vol. 38, No. 1, 01.2009, p. 1-14.

Research output: Contribution to journalArticle

@article{01700a314a24408cab53732e6cb8379c,
title = "A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations",
abstract = "In this paper we present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.",
keywords = "Characteristic-curve, Finite Element Method, Second order in time, The Navier-Stokes equations",
author = "Hirofumi Notsu and Masahisa Tabata",
year = "2009",
month = "1",
doi = "10.1007/s10915-008-9217-5",
language = "English",
volume = "38",
pages = "1--14",
journal = "Journal of Scientific Computing",
issn = "0885-7474",
publisher = "Springer New York",
number = "1",

}

TY - JOUR

T1 - A single-step characteristic-curve finite element scheme of second order in time for the incompressible Navier-Stokes equations

AU - Notsu, Hirofumi

AU - Tabata, Masahisa

PY - 2009/1

Y1 - 2009/1

N2 - In this paper we present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.

AB - In this paper we present a new single-step characteristic-curve finite element scheme of second order in time for the nonstationary incompressible Navier-Stokes equations. After supplying correction terms in the variational formulation, we prove that the scheme is of second order in time. The convergence rate of the scheme is numerically recognized by computational results.

KW - Characteristic-curve

KW - Finite Element Method

KW - Second order in time

KW - The Navier-Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=59349089837&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=59349089837&partnerID=8YFLogxK

U2 - 10.1007/s10915-008-9217-5

DO - 10.1007/s10915-008-9217-5

M3 - Article

VL - 38

SP - 1

EP - 14

JO - Journal of Scientific Computing

JF - Journal of Scientific Computing

SN - 0885-7474

IS - 1

ER -