A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations

N. Kumar; J.H.M. ten Thije Boonkkamp; B. Koren

doi:10.1007/978-3-319-19800-2_26

A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations

N. Kumar, J.H.M. ten Thije Boonkkamp, B. Koren

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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In this contribution we present a sub-cell discretization method for the computation of the interface velocities involved in the convective terms of the incompressible Navier-Stokes equations. We compute an interface velocity by solving a local two-point boundary value problem (BVP) iteratively. To account for the two-dimensionality of the interface velocity we introduce a constant cross-flux term in our computation. The discretization scheme is used to simulate the flow in a lid-driven cavity.

Originele taal-2	Engels
Titel	Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
Subtitel	Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA
Redacteuren	R.M. Kirby, M. Berzins, J.S. Hesthaven
Plaats van productie	Dordrecht
Uitgeverij	Springer
Pagina's	295-303
Aantal pagina's	9
ISBN van elektronische versie	978-3-319-19800-2
ISBN van geprinte versie	978-3-319-19799-9
DOI's	https://doi.org/10.1007/978-3-319-19800-2_26
Status	Gepubliceerd - 2015
Evenement	10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014) - Salt Lake City, Verenigde Staten van Amerika Duur: 23 jun. 2014 → 27 jun. 2014 Congresnummer: 10

Publicatie series

Naam	Lecture Notes in Computational Science and Engineering
Volume	106
ISSN van geprinte versie	1439-7358

Congres

Congres	10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014)
Verkorte titel	ICOSAHOM 2014
Land/Regio	Verenigde Staten van Amerika
Stad	Salt Lake City
Periode	23/06/14 → 27/06/14

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10.1007/978-3-319-19800-2_26

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Kumar, N., ten Thije Boonkkamp, J. H. M., & Koren, B. (2015). A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations. In R. M. Kirby, M. Berzins, & J. S. Hesthaven (editors), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA (blz. 295-303). (Lecture Notes in Computational Science and Engineering; Vol. 106). Springer. https://doi.org/10.1007/978-3-319-19800-2_26

Kumar, N. ; ten Thije Boonkkamp, J.H.M. ; Koren, B. / A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations. Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA. redacteur / R.M. Kirby ; M. Berzins ; J.S. Hesthaven. Dordrecht : Springer, 2015. blz. 295-303 (Lecture Notes in Computational Science and Engineering).

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abstract = "In this contribution we present a sub-cell discretization method for the computation of the interface velocities involved in the convective terms of the incompressible Navier-Stokes equations. We compute an interface velocity by solving a local two-point boundary value problem (BVP) iteratively. To account for the two-dimensionality of the interface velocity we introduce a constant cross-flux term in our computation. The discretization scheme is used to simulate the flow in a lid-driven cavity.",

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Kumar, N, ten Thije Boonkkamp, JHM & Koren, B 2015, A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations. in RM Kirby, M Berzins & JS Hesthaven (uitgave), Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA. Lecture Notes in Computational Science and Engineering, vol. 106, Springer, Dordrecht, blz. 295-303, 10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014), Salt Lake City, Utah, Verenigde Staten van Amerika, 23/06/14. https://doi.org/10.1007/978-3-319-19800-2_26

A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations. / Kumar, N.; ten Thije Boonkkamp, J.H.M.; Koren, B.
Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA. uitgave / R.M. Kirby; M. Berzins; J.S. Hesthaven. Dordrecht: Springer, 2015. blz. 295-303 (Lecture Notes in Computational Science and Engineering; Vol. 106).

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AB - In this contribution we present a sub-cell discretization method for the computation of the interface velocities involved in the convective terms of the incompressible Navier-Stokes equations. We compute an interface velocity by solving a local two-point boundary value problem (BVP) iteratively. To account for the two-dimensionality of the interface velocity we introduce a constant cross-flux term in our computation. The discretization scheme is used to simulate the flow in a lid-driven cavity.

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Kumar N, ten Thije Boonkkamp JHM , Koren B. A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations. In Kirby RM, Berzins M, Hesthaven JS, redacteurs, Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014: Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA. Dordrecht: Springer. 2015. blz. 295-303. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-19800-2_26

A sub-cell discretization method for the convective terms in the incompressible navier-stokes equations

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