A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations

R. Steijl; H.W.M. Hoeijmakers

doi:10.1007/978-94-011-4513-8_33

A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations

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

Abstract

The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).

Original language	English
Title of host publication	Recent Advances in DNS and LES
Subtitle of host publication	Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999
Editors	Doyle Knight, Leonidas Sakell
Place of Publication	Dordrecht
Publisher	Kluwer Academic Publishers
Pages	385-396
ISBN (Print)	0-7923-6004-4
DOIs	https://doi.org/10.1007/978-94-011-4513-8_33
Publication status	Published - 7 Jun 1999
Event	2nd AFOSR Conference on Recent Advances in DNS and LES 1999 - University of New Jersey, New Brunswick, United States Duration: 7 Jun 1999 → 9 Jun 1999 Conference number: 2

Publication series

Name	Fluid Mechanics and its Application
Publisher	Kluwer Academic Publishers
Volume	54
ISSN (Print)	0926-5112

Conference

Conference	2nd AFOSR Conference on Recent Advances in DNS and LES 1999
Country	United States
City	New Brunswick
Period	7/06/99 → 9/06/99

Keywords

Large eddy simulation
Vortex core
Helmholtz equation
Grid block
Azimuthal volocity

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10.1007/978-94-011-4513-8_33

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Steijl, R., & Hoeijmakers, H. W. M. (1999). A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. In D. Knight, & L. Sakell (Eds.), Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999 (pp. 385-396). (Fluid Mechanics and its Application; Vol. 54). Dordrecht: Kluwer Academic Publishers. https://doi.org/10.1007/978-94-011-4513-8_33

Steijl, R. ; Hoeijmakers, H.W.M. / A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. editor / Doyle Knight ; Leonidas Sakell. Dordrecht : Kluwer Academic Publishers, 1999. pp. 385-396 (Fluid Mechanics and its Application).

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Steijl, R & Hoeijmakers, HWM 1999, A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. in D Knight & L Sakell (eds), Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. Fluid Mechanics and its Application, vol. 54, Kluwer Academic Publishers, Dordrecht, pp. 385-396, 2nd AFOSR Conference on Recent Advances in DNS and LES 1999, New Brunswick, United States, 7/06/99. https://doi.org/10.1007/978-94-011-4513-8_33

A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. / Steijl, R.; Hoeijmakers, H.W.M.

Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. ed. / Doyle Knight; Leonidas Sakell. Dordrecht : Kluwer Academic Publishers, 1999. p. 385-396 (Fluid Mechanics and its Application; Vol. 54).

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

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N2 - The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).

AB - The present paper describes a newly developed Navier-Stokes solver of fourth-order global spatial accuracy and second-order accuracy in time. The algorithm uses an explicit discretisation for the convection terms and an implicit formulation for the viscous terms. Compact-differences are used in the spatial discretisation. They offer a combination of flexibility of boundary conditions and spectral-like resolution (Lele(1992)).

KW - Large eddy simulation

KW - Vortex core

KW - Helmholtz equation

KW - Grid block

KW - Azimuthal volocity

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Steijl R, Hoeijmakers HWM. A High-Order Accurate Compact Finite Difference Algorithm for the Incompressible Navier-Stokes Equations. In Knight D, Sakell L, editors, Recent Advances in DNS and LES: Proceedings of the Second AFOSR Conference held at Rutgers — The State University of New Jersey, New Brunswick, U.S.A., June 7–9, 1999. Dordrecht: Kluwer Academic Publishers. 1999. p. 385-396. (Fluid Mechanics and its Application). https://doi.org/10.1007/978-94-011-4513-8_33