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

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

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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.

Original language	English
Title of host publication	Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014
Subtitle of host publication	Selected papers from the ICOSAHOM conference, June 23-27, 2014, Salt Lake City, Utah, USA
Editors	R.M. Kirby, M. Berzins, J.S. Hesthaven
Place of Publication	Dordrecht
Publisher	Springer
Pages	295-303
Number of pages	9
ISBN (Electronic)	978-3-319-19800-2
ISBN (Print)	978-3-319-19799-9
DOIs	https://doi.org/10.1007/978-3-319-19800-2_26
Publication status	Published - 2015
Event	10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014) - Salt Lake City, United States Duration: 23 Jun 2014 → 27 Jun 2014 Conference number: 10

Publication series

Name	Lecture Notes in Computational Science and Engineering
Volume	106
ISSN (Print)	1439-7358

Conference

Conference	10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014)
Abbreviated title	ICOSAHOM 2014
Country/Territory	United States
City	Salt Lake City
Period	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 (Eds.), 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 (pp. 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. editor / R.M. Kirby ; M. Berzins ; J.S. Hesthaven. Dordrecht : Springer, 2015. pp. 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.",

author = "N. Kumar and {ten Thije Boonkkamp}, J.H.M. and B. Koren",

year = "2015",

doi = "10.1007/978-3-319-19800-2_26",

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booktitle = "Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014",

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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 (eds), 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, pp. 295-303, 10th International Conference on Spectral and High-Order Methods (ICOSAHOM 2014), Salt Lake City, Utah, United States, 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. ed. / R.M. Kirby; M. Berzins; J.S. Hesthaven. Dordrecht: Springer, 2015. p. 295-303 (Lecture Notes in Computational Science and Engineering; Vol. 106).

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

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N2 - 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.

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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BT - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014

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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, 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. Dordrecht: Springer. 2015. p. 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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