Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations

J. Rokicki; J. M. Floryan

doi:10.1006/jcph.1995.1007

Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations

J. Rokicki
, J. M. Floryan

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

12 Citations (Scopus)

Abstract

We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to Re² · h⁴. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. © 1995 by Academic Press, Inc.

Original language	English
Pages (from-to)	79-96
Journal	Journal of Computational Physics
Volume	116
Issue number	1
DOIs	https://doi.org/10.1006/jcph.1995.1007
Publication status	Published - Jan 1995
Externally published	Yes

Bibliographical note

Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

Access Output

10.1006/jcph.1995.1007

Other Access Options

Check CityUHK Library

Permanent Link

Right click to copy link

Cite this

@article{85f58529d56742bfb18d899d3c832e64,

title = "Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations",

abstract = "We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to Re2 · h4. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. {\textcopyright} 1995 by Academic Press, Inc.",

author = "J. Rokicki and Floryan, \{J. M.\}",

note = "Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].",

year = "1995",

month = jan,

doi = "10.1006/jcph.1995.1007",

language = "English",

volume = "116",

pages = "79--96",

journal = "Journal of Computational Physics",

issn = "0021-9991",

publisher = "Academic Press Inc.",

number = "1",

}

TY - JOUR

T1 - Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations

AU - Rokicki, J.

AU - Floryan, J. M.

N1 - Publication details (e.g. title, author(s), publication statuses and dates) are captured on an “AS IS” and “AS AVAILABLE” basis at the time of record harvesting from the data source. Suggestions for further amendments or supplementary information can be sent to [email protected].

PY - 1995/1

Y1 - 1995/1

N2 - We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to Re2 · h4. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. © 1995 by Academic Press, Inc.

AB - We consider a fourth-order, compact finite-difference method for the Navier-Stokes equations using the streamfunction-vorticity formulation. Various algebraic boundary formulas for vorticity are investigated including new implicit formulas of the third and fourth order. An algorithm for determination of pressure from a suitable Poisson equation is given. Results of various tests show that the error of the algorithm is proportional to Re2 · h4. Domain decomposition coupled with multiprocessing was investigated as a method for acceleration of computations. It is shown that the acceleration approaches the theoretical maximum. © 1995 by Academic Press, Inc.

UR - https://www.scopus.com/pages/publications/0000489688

UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-0000489688&origin=recordpage

U2 - 10.1006/jcph.1995.1007

DO - 10.1006/jcph.1995.1007

M3 - RGC 21 - Publication in refereed journal

SN - 0021-9991

VL - 116

SP - 79

EP - 96

JO - Journal of Computational Physics

JF - Journal of Computational Physics

IS - 1

ER -

Domain decomposition and the compact fourth-order algorithm for the Navier-Stokes equations

Abstract

Bibliographical note

Access Output

Other Access Options

Permanent Link

Other Files and Links

Fingerprint

Cite this