Solution of the steady Euler equations by a multigrid method

B. Koren; S.P. Spekreijse

Solution of the steady Euler equations by a multigrid method

B. Koren, S.P. Spekreijse

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

An efficient multigrid method to obtain second-order accurate solutions of the 2D steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid (FAS-) iteration method and on a defect correction principle. Both first- and second-order accurate finite volume upwind discretizations are considered. In the second-order discretization a limiter is used. The method does not require any tuning of parameters. Flow solutions are presented for a channel and an airfoil. The solutions show good resolution of all flow phenomena and are obtained at low computational cost.

Original language	English
Title of host publication	Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987)
Editors	S.F. McCormick
Place of Publication	New York
Publisher	Marcel Dekker Inc.
Pages	323-336
ISBN (Print)	0-8247-7979-7
Publication status	Published - 1988

Publication series

Name	Lecture Notes in Pure and Applied Mathematics
Volume	110
ISSN (Print)	0075-8469

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Koren, B., & Spekreijse, S. P. (1988). Solution of the steady Euler equations by a multigrid method. In S. F. McCormick (Ed.), Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987) (pp. 323-336). (Lecture Notes in Pure and Applied Mathematics; Vol. 110). Marcel Dekker Inc..

Koren, B. ; Spekreijse, S.P. / Solution of the steady Euler equations by a multigrid method. Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987). editor / S.F. McCormick. New York : Marcel Dekker Inc., 1988. pp. 323-336 (Lecture Notes in Pure and Applied Mathematics).

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abstract = "An efficient multigrid method to obtain second-order accurate solutions of the 2D steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid (FAS-) iteration method and on a defect correction principle. Both first- and second-order accurate finite volume upwind discretizations are considered. In the second-order discretization a limiter is used. The method does not require any tuning of parameters. Flow solutions are presented for a channel and an airfoil. The solutions show good resolution of all flow phenomena and are obtained at low computational cost.",

author = "B. Koren and S.P. Spekreijse",

year = "1988",

language = "English",

isbn = "0-8247-7979-7",

series = "Lecture Notes in Pure and Applied Mathematics",

publisher = "Marcel Dekker Inc.",

pages = "323--336",

editor = "S.F. McCormick",

booktitle = "Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987)",

address = "United States",

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Koren, B & Spekreijse, SP 1988, Solution of the steady Euler equations by a multigrid method. in SF McCormick (ed.), Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987). Lecture Notes in Pure and Applied Mathematics, vol. 110, Marcel Dekker Inc., New York, pp. 323-336.

Solution of the steady Euler equations by a multigrid method. / Koren, B.; Spekreijse, S.P.
Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987). ed. / S.F. McCormick. New York: Marcel Dekker Inc., 1988. p. 323-336 (Lecture Notes in Pure and Applied Mathematics; Vol. 110).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Solution of the steady Euler equations by a multigrid method

AU - Koren, B.

AU - Spekreijse, S.P.

PY - 1988

Y1 - 1988

N2 - An efficient multigrid method to obtain second-order accurate solutions of the 2D steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid (FAS-) iteration method and on a defect correction principle. Both first- and second-order accurate finite volume upwind discretizations are considered. In the second-order discretization a limiter is used. The method does not require any tuning of parameters. Flow solutions are presented for a channel and an airfoil. The solutions show good resolution of all flow phenomena and are obtained at low computational cost.

AB - An efficient multigrid method to obtain second-order accurate solutions of the 2D steady Euler equations is described and results are shown. The method is based on a nonlinear multigrid (FAS-) iteration method and on a defect correction principle. Both first- and second-order accurate finite volume upwind discretizations are considered. In the second-order discretization a limiter is used. The method does not require any tuning of parameters. Flow solutions are presented for a channel and an airfoil. The solutions show good resolution of all flow phenomena and are obtained at low computational cost.

M3 - Conference contribution

SN - 0-8247-7979-7

T3 - Lecture Notes in Pure and Applied Mathematics

SP - 323

EP - 336

BT - Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987)

A2 - McCormick, S.F.

PB - Marcel Dekker Inc.

CY - New York

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Koren B, Spekreijse SP. Solution of the steady Euler equations by a multigrid method. In McCormick SF, editor, Multigrid Methods: Theory, Applications, and Supercomputing (Third Cooper Mountain Conference on Multigrid Methods, Cooper Mountain, Colorado, USA, April 5-10, 1987). New York: Marcel Dekker Inc. 1988. p. 323-336. (Lecture Notes in Pure and Applied Mathematics).

Solution of the steady Euler equations by a multigrid method

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