Conservative mimetic cut-cell method for incompressible Navier-Stokes equations

René Beltman; Martijn Anthonissen; Barry Koren

doi:10.1007/978-3-319-96415-7_98

Conservative mimetic cut-cell method for incompressible Navier-Stokes equations

René Beltman, Martijn Anthonissen, Barry Koren

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

2 Citaten (Scopus)

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Samenvatting

We introduce a mimetic Cartesian cut-cell method for incompressible viscous flow that conserves mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the boundary conditions. In particular we discuss how the no-slip boundary conditions should be applied in a conservative way on objects immersed in the Cartesian mesh. We use the method to compute the flow around a cylinder. We find a good comparison between our results and benchmark results for both a steady and an unsteady test case.

Originele taal-2	Engels
Titel	Numerical Mathematics and Advanced Applications ENUMATH 2017
Redacteuren	Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop
Plaats van productie	Cham
Uitgeverij	Springer
Pagina's	1035-1043
Aantal pagina's	9
ISBN van elektronische versie	978-3-319-96415-7
ISBN van geprinte versie	978-3-319-96414-0
DOI's	https://doi.org/10.1007/978-3-319-96415-7_98
Status	Gepubliceerd - 1 jan. 2019
Evenement	European Conference on Numerical Mathematics and Advanced Applications : ENUMATH 2017 - Voss, Noorwegen Duur: 25 sep. 2017 → 29 sep. 2017

Publicatie series

Naam	Lecture Notes in Computational Science and Engineering
Volume	126
ISSN van geprinte versie	1439-7358

Congres

Congres	European Conference on Numerical Mathematics and Advanced Applications
Verkorte titel	ENUMATH 2017
Land/Regio	Noorwegen
Stad	Voss
Periode	25/09/17 → 29/09/17

Financiering

Acknowledgements This research is part of the EUROS program, which is supported by NWO domain Applied and Engineering Sciences and partly funded by the Ministry of Economic Affairs.

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10.1007/978-3-319-96415-7_98

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Beltman, R., Anthonissen, M., & Koren, B. (2019). Conservative mimetic cut-cell method for incompressible Navier-Stokes equations. In F. A. Radu, K. Kumar, I. Berre, J. M. Nordbotten, & I. S. Pop (editors), Numerical Mathematics and Advanced Applications ENUMATH 2017 (blz. 1035-1043). (Lecture Notes in Computational Science and Engineering; Vol. 126). Springer. https://doi.org/10.1007/978-3-319-96415-7_98

Beltman, René ; Anthonissen, Martijn ; Koren, Barry. / Conservative mimetic cut-cell method for incompressible Navier-Stokes equations. Numerical Mathematics and Advanced Applications ENUMATH 2017. redacteur / Florin Adrian Radu ; Kundan Kumar ; Inga Berre ; Jan Martin Nordbotten ; Iuliu Sorin Pop. Cham : Springer, 2019. blz. 1035-1043 (Lecture Notes in Computational Science and Engineering).

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abstract = "We introduce a mimetic Cartesian cut-cell method for incompressible viscous flow that conserves mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the boundary conditions. In particular we discuss how the no-slip boundary conditions should be applied in a conservative way on objects immersed in the Cartesian mesh. We use the method to compute the flow around a cylinder. We find a good comparison between our results and benchmark results for both a steady and an unsteady test case.",

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Beltman, R , Anthonissen, M & Koren, B 2019, Conservative mimetic cut-cell method for incompressible Navier-Stokes equations. in FA Radu, K Kumar, I Berre, JM Nordbotten & IS Pop (uitgave), Numerical Mathematics and Advanced Applications ENUMATH 2017. Lecture Notes in Computational Science and Engineering, vol. 126, Springer, Cham, blz. 1035-1043, European Conference on Numerical Mathematics and Advanced Applications , Voss, Noorwegen, 25/09/17. https://doi.org/10.1007/978-3-319-96415-7_98

Conservative mimetic cut-cell method for incompressible Navier-Stokes equations. / Beltman, René ; Anthonissen, Martijn ; Koren, Barry.
Numerical Mathematics and Advanced Applications ENUMATH 2017. uitgave / Florin Adrian Radu; Kundan Kumar; Inga Berre; Jan Martin Nordbotten; Iuliu Sorin Pop. Cham: Springer, 2019. blz. 1035-1043 (Lecture Notes in Computational Science and Engineering; Vol. 126).

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

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AU - Koren, Barry

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N2 - We introduce a mimetic Cartesian cut-cell method for incompressible viscous flow that conserves mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the boundary conditions. In particular we discuss how the no-slip boundary conditions should be applied in a conservative way on objects immersed in the Cartesian mesh. We use the method to compute the flow around a cylinder. We find a good comparison between our results and benchmark results for both a steady and an unsteady test case.

AB - We introduce a mimetic Cartesian cut-cell method for incompressible viscous flow that conserves mass, momentum, and kinetic energy in the inviscid limit, and determines the vorticity such that the global vorticity is consistent with the boundary conditions. In particular we discuss how the no-slip boundary conditions should be applied in a conservative way on objects immersed in the Cartesian mesh. We use the method to compute the flow around a cylinder. We find a good comparison between our results and benchmark results for both a steady and an unsteady test case.

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Beltman R , Anthonissen M , Koren B. Conservative mimetic cut-cell method for incompressible Navier-Stokes equations. In Radu FA, Kumar K, Berre I, Nordbotten JM, Pop IS, redacteurs, Numerical Mathematics and Advanced Applications ENUMATH 2017. Cham: Springer. 2019. blz. 1035-1043. (Lecture Notes in Computational Science and Engineering). doi: 10.1007/978-3-319-96415-7_98

Conservative mimetic cut-cell method for incompressible Navier-Stokes equations

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